Relevant bibliographies by topics / L invariant

Academic literature on the topic 'L invariant'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Journal articles on the topic "L invariant":

1

Buchdahl, H. A. "Invariant aberrations III l-invariants." Journal of the Optical Society of America A 5, no. 11 (November 1, 1988): 1968. http://dx.doi.org/10.1364/josaa.5.001968.

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2

Pottharst, Jonathan. "The $${\mathcal {L}}$$ L -invariant, the dual $${\mathcal {L}}$$ L -invariant, and families." Annales mathématiques du Québec 40, no. 1 (February 23, 2016): 159–65. http://dx.doi.org/10.1007/s40316-015-0054-2.

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LICATA, JOAN E. "INVARIANTS FOR LEGENDRIAN KNOTS IN LENS SPACES." Communications in Contemporary Mathematics 13, no. 01 (February 2011): 91–121. http://dx.doi.org/10.1142/s0219199711004178.

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In this paper, we define invariants for primitive Legendrian knots in lens spaces L(p, q), q ≠ 1. The main invariant is a differential graded algebra [Formula: see text] which is computed from a labeled Lagrangian projection of the pair (L(p, q), K). This invariant is formally similar to a DGA defined by Sabloff which is an invariant for Legendrian knots in smooth S1-bundles over Riemann surfaces. The second invariant defined for K ⊂ L(p, q) takes the form of a DGA enhanced with a free cyclic group action and can be computed from a cyclic cover of the pair (L(p, q), K).
4

Wu, Ying-Qing. "On the Arf invariant of links." Mathematical Proceedings of the Cambridge Philosophical Society 100, no. 2 (September 1986): 355–59. http://dx.doi.org/10.1017/s0305004100077355.

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In ([2], p. 310) the problem of relating the Arf invariant of a link to other link invariants, and finding practical ways of computing it, was raised. Murasugi gave a partial solution to this in [9]: if L has two components, then Arf(L), when defined, is given bywhere l1, l2 are the components of L, and ΔL(t1, t2) denotes the Alexander polynomial of L.
5

Kütükçü, Servet. "L-Fuzzy Invariant Metric Space." Communications in Advanced Mathematical Sciences 1, no. 2 (December 24, 2018): 137–41. http://dx.doi.org/10.33434/cams.444659.

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6

Hida, Haruzo. "Constancy of adjoint L-invariant." Journal of Number Theory 131, no. 7 (July 2011): 1331–46. http://dx.doi.org/10.1016/j.jnt.2011.02.001.

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7

Feng, Tony, Niccolò Ronchetti, and Cheng-Chiang Tsai. "Epipelagic Langlands parameters and L-packets for unitary groups." International Journal of Number Theory 16, no. 07 (March 20, 2020): 1449–91. http://dx.doi.org/10.1142/s1793042120500773.

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Reeder and Yu have recently given a new construction of a class of supercuspidal representations called epipelagic representations [M. Reeder and J.-K. Yu, Epipelagic representations and invariant theory, J. Amer. Math. Soc. 27(2) (2014) 437–477, MR 3164986]. We explicitly calculate the Local Langlands Correspondence for certain families of epipelagic representations of unitary groups, following the general construction of Kaletha [Epipelagic [Formula: see text]-packets and rectifying characters, Invent. Math. 202(1) (2015) 1–89, MR 3402796]. The interesting feature of our computation is that we find simplifications within [Formula: see text]-packets of the two novel invariants introduced in the above-mentioned paper of Kaletha, the toral invariant and the admissible L-embedding.
8

HUGHES, JAMES R. "LINK HOMOTOPY INVARIANT QUANDLES." Journal of Knot Theory and Its Ramifications 20, no. 05 (May 2011): 763–73. http://dx.doi.org/10.1142/s0218216511008930.

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We consider several approaches to defining a link homotopy version of the fundamental quandle Q(L) of a link L in S3. We first define the reduced fundamental quandle RQ(L) as a quotient of Q(L). We show that RQ(L) is a link homotopy invariant that carries at least as much information as the meridian-preserving isomorphism class of Milnor's reduced group RG(L). We then show that operator reduction, a plausible alternative approach to defining RQ(L), fails to yield a link homotopy invariant. Finally, we give a geometric characterization of RQ(L), and offer a caveat regarding a seemingly simpler approach.
9

NIKKUNI, RYO. "THE SECOND SKEW-SYMMETRIC COHOMOLOGY GROUP AND SPATIAL EMBEDDINGS OF GRAPHS." Journal of Knot Theory and Its Ramifications 09, no. 03 (May 2000): 387–411. http://dx.doi.org/10.1142/s0218216500000189.

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Let L(G) be the second skew-symmetric cohomology group of the residual space of a graph G. We determine L(G) in the case G is a 3-connected simple graph, and give the structure of L(G) in the case of G is a complete graph and a complete bipartite graph. By using these results, we determine the Wu invariants in L(G) of the spatial embeddings of the complete graph and those of the complete bipartite graph, respectively. Since the Wu invariant of a spatial embedding is a complete invariant up to homology which is an equivalence relation on spatial embeddings introduced in [12], we give a homology classification of the spatial embeddings of such graphs.
10

HABIRO, KAZUO, and JEAN-BAPTISTE MEILHAN. "FINITE TYPE INVARIANTS AND MILNOR INVARIANTS FOR BRUNNIAN LINKS." International Journal of Mathematics 19, no. 06 (July 2008): 747–66. http://dx.doi.org/10.1142/s0129167x08004820.

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A link L in the 3-sphere is called Brunnian if every proper sublink of L is trivial. In a previous paper, Habiro proved that the restriction to Brunnian links of any Goussarov–Vassiliev finite type invariant of (n + 1)-component links of degree < 2n is trivial. The purpose of this paper is to study the first nontrivial case. We show that the restriction of an invariant of degree 2n to (n + 1)-component Brunnian links can be expressed as a quadratic form on the Milnor link-homotopy invariants of length n + 1.
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You might also be interested in the extended bibliographies on the topic 'L invariant' for particular source types:
Journal articles Dissertations / Theses

Dissertations / Theses on the topic "L invariant":

1

Meumertzheim, Johanna [Verfasser], and Stefan [Akademischer Betreuer] Friedl. "Discontinuities of the ρ-invariant and an application to the L²-ρ-invariant / Johanna Meumertzheim ; Betreuer: Stefan Friedl." Regensburg : Universitätsbibliothek Regensburg, 2019. http://d-nb.info/1200209087/34.

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Horte, Stéphane. "Zéros exceptionnels des fonctions L p-adiques de Rankin-Selberg." Thesis, Bordeaux, 2019. http://www.theses.fr/2019BORD0155/document.

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Le but de cette thèse est d'étudier les zéros exceptionnels des fonctions L p-adiques de Rankin-Selberg. Autrement dit, pour un couple de formes modulaires nous étudierons l'annulation de la fonction p-adique interpolant la fonction L de Rankin-Selberg associée à ce couple. Lorsque la fonction s'annule, on exprime alors la dérivée de la fonction L p-adique en fonction de l'invariant L,des périodes p-adique et infinie et du terme principal de la fonction complexe de Rankin-Selberg
The aim of this thesis is to study the extra zeros of the p-adic L functions of Rankin-Selberg. In other words, for a couple of modular forms we study the zeros of the p-adic function interpolating the Rankin-Selberg L function associated to this couple. When the function has a zero we express the value of the derivate in terms of the L invariant, p-adic and infinite periods and the principal term of the complex Rankin-Selberg function
3

Van, Staden Paul Jacobus. "Modeling of generalized families of probability distribution in the quantile statistical universe." Thesis, University of Pretoria, 2013. http://hdl.handle.net/2263/40265.

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This thesis develops a methodology for the construction of generalized families of probability distributions in the quantile statistical universe, that is, distributions specified in terms of their quantile functions. The main benefit of the proposed methodology is that it generates quantile-based distributions with skewness-invariant measures of kurtosis. The skewness and kurtosis can therefore be identified and analyzed separately. The key contribution of this thesis is the development of a new type of the generalized lambda distribution (GLD), using the quantile function of the generalized Pareto distribution as the basic building block (in the literature each different type of the GLD is incorrectly referred to as a parameterization of the GLD – in this thesis the term type is used). The parameters of this new type can, contrary to existing types, easily be estimated with method of L-moments estimation, since closed-form expressions are available for the estimators as well as for their asymptotic standard errors. The parameter space and the shape properties of the new type are discussed in detail, including its characterization through L-moments. A simple estimation algorithm is presented and utilization of the new type in terms of data fitting and approximation of probability distributions is illustrated.
Thesis (PhD)--University of Pretoria, 2013.
gm2014
Statistics
unrestricted
4

Chauchat, Paul. "Algorithmes de lissage pour la navigation, la localisation et la cartographie, basés sur des capteurs inertiels haute qualité." Thesis, Université Paris sciences et lettres, 2020. https://pastel.archives-ouvertes.fr/tel-02887295.

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Les systèmes mobiles ont besoin de se localiser toujours plus précisément, dans des situations toujours plus complexes. C’est particulièrement vrai pour les systèmes autonomes, dont le contrôle de l’erreur de positionnement est une question de sécurité critique. Pour cela, ils sont équipés de différents capteurs, dont les données sont fusionnées pour obtenir une estimation de la localisation du véhicule, soit globalement (par GPS par exemple), soit localement, par rapport à son environnement direct (grâce à des caméras par exemple). Cette thèse porte sur les algorithmes de localisation basée sur de la fusion de capteurs, le filtrage et le lissage, dans le cas où le mobile est équipé de capteurs inertiels de haute qualité. La première partie se concentre sur les non-linéarités inhérentes à la navigation inertielle utilisant des capteurs de haute qualité, et démontre comment, en s’appuyant sur la théorie du filtrage invariant, elles peuvent être mieux intégrées à la structure des algorithmes de filtrage et de lissage, grâce à la théorie du filtrage invariant. La seconde partie s’intéresse aux problèmes encourus, du fait de la présence de capteurs très précis, par les solveurs linéaires utilisés à chaque itération des algorithmes de lissage non-linéaires. Un nouveau solveur de problèmes de moindres carrés linéaires est introduit, qui s’affranchit de ces problèmes
Mobile systems need to locate themselves ever more accurately, and in ever more complex situations. This is in particular true for autonomous systems, for which controlling the position error is a critical safety issue. To this end, they are endowed with various sensors, the data of which are fused to obtain an estimate of the vehicle’s location, either globally (with the GPS for instance), or locally, with respect to its surroundings (with cameras for instance). This thesis investigates algorithms for localisation by sensor fusion, namely filtering and especially smoothing, when the mobile is equipped with high-grade inertial sensors. The first part deals with the nonlinear consequences of the use of high-grade inertial sensors, and demonstrates how the nonlinear structure of both filtering and smoothing algorithms may be improved by leveraging the invariant filtering framework. The second part deals with the problems incurred by the linear solvers that are used at each step of nonlinear smoothing algorithms as a result of having highly precise sensors. It introduces a novel least-squares linear solver that solves the issues
5

Ortigas, Galindo Jorge. "Invariants algébriques et topologiques des courbes et surfaces à singularités quotient." Thesis, Pau, 2013. http://www.theses.fr/2013PAUU3011/document.

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Le but principal de cette thèse de doctorat est l'étude de l'anneau de cohomologie du complément d'une courbe algébrique réduite dans le plan projectif pondéré complexe dont les composantes irréductibles sont des courbes rationnelles (avec ou sans points singuliers). En particulier, des représentants holomorphes (rationnels) sont obtenus pour les classes de cohomologie. Pour atteindre notre objectif, il est nécessaire de développer une théorie algébrique des courbes sur des surfaces avec des singularités quotient et d'étudier des techniques pour calculer certains invariants particulièrement utiles à travers des Q-résolutions plongées
The main goal of this PhD thesis is the study of the cohomology ring of the complement of a reduced algebraic curve in the complex weighted projective plane whose irreducible components are all rational (possibly singular) curves. In particular, holomorphic (rational) representatives are found for the cohomology classes. In order to achieve our purpose one needs to develop an algebraic theory of curves on surfaces with quotient singularities and study techniques to compute some particularly useful invariants by means of embedded Q-resolutions
6

Moretti, Giada. "Invarianti polinomiali sotto l'azione di gruppi finiti." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2015. http://amslaurea.unibo.it/8772/.

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Il teorema di Chevalley-Shephard-Todd è un importante risultato del 1954/1955 nella teoria degli invarianti polinomiali sotto l'azione del gruppo delle matrici invertibili. Lo scopo di questa tesi è presentare e dimostrare il teorema nella versione in cui l'anello dei polinomi ha come campo base R e di vedere alcuni esempi concreti di applicazione del teorema. Questa dimostrazione può essere generalizzata facilmente avendo come campo base un qualsiasi campo K di caratteristica 0.
7

Yang, Dapeng. "Approche algébrique pour l’analyse de systèmes modélisés par bond graph." Thesis, Ecole centrale de Lille, 2012. http://www.theses.fr/2012ECLI0007/document.

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La commande de systèmes physiques s’avère être une tâche difficile en général. En fonction du modèle choisi, les outils mathématiques pour l’analyse et la conception de lois de commande peuvent changés. Pour les systèmes décrits par une représentation entrée-sortie, type transfert, ou par une équation de type état, les principales informations exploitées lors de la phase d’analyse concerne la structure interne du modèle (structure finie) et la structure externe (structure à l’infini) qui permettent avant la phase de synthèse de connaître, sur le modèle en boucle ouverte, les propriétés des lois de commande envisagées ainsi que les propriétés du système piloté (stabilité…).Le travail porte principalement sur l’étude des zéros invariants des systèmes physiques représentés par bond graph, en particulier dans un contexte de modèle type LTV. L’approche algébrique est essentielle dans ce contexte car même si les aspects graphiques restent très proches du cas linéaire classique, l’extension aux modèles LTV reste très complexe d’un point de vue mathématique, en particulier pour le calcul de racines de polynômes. De nouvelles techniques d’analyse des zéros invariants utilisant conjointement l’approche bond graph (exploitation de la causalité) et l’approche algébriques ont permis de mettre en perspective certains modules associés à ces zéros invariants et de clarifier le problème d’annulation des grandeurs de sortie. L’application aux problèmes d’observateurs à entrées inconnues a permis d’illustrer nos propos sur des exemples physiques, avec certaines extensions, problèmes pour lesquels les zéros invariants apparaissent aussi comme éléments essentiels
The control synthesis of physical systems is a complex task because it requires the knowledge of a "good model" and according to the choice of a model some specific tools must be developed. These tools, mainly developed from a mathematical and theoretical point of view, must be used from the analysis step (analysis of model properties) to the control synthesis step. It is well-known that in many approaches, the properties of the controlled systems can be analyzed from the initial model. If the system is described with an input-output representation or with a state space representation, two kinds of information are often pointed out: the external structure (infinite structure) and the internal structure (finite structure). The first one is often related to the existence of some control strategies (input-output decoupling, disturbance decoupling...) and the second one gives some focus on the stability property of the controlled system.In this report, the focus has been on the study of invariant zeros of bond graph models in the context of LTV models. The algebraic approach was essential because, even if the problem is already solved for LTI bond graph models, the extension to LTV models is not so easy. The simultaneous use of algebraic and graphical approaches has been proven to be effective and convenient to solve this problem. First, some tools from the algebraic approach have been recalled in chapter one and results for the study of invariant zeros of LTI bond graph models recalled in chapter two. Some new developments are proposed in chapter three and some applications for the unknown input observer problem with some physical applications conclude this work
8

Bonnabel, Silvère. "Observateurs asymptotiques invariants : théories et exemples." Paris, ENMP, 2007. http://www.theses.fr/2007ENMP1590.

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Cette thèse a pour objet la construction d’estimateurs non-linéaires à base d’observateurs asymptotiques. Nous développons d’abord un observateur destiné à estimer des concentrations en réactifs dans un réacteur de polymérisation du groupe TOTAL. A partir d’un modèle, et des mesures de températures et débits, on remonte aux concentrations en temps réel. L’estimateur a été installé et validé sur l’unité industrielle. La convergence est indépendante des unités choisies (mol/l ou kg/l). Fort de ce constat nous avons montré qu’une approche basée sur les symétries (ou invariances) pouvait suggérer des structures d’estimateur et des changements de variables propices à l’étude de convergence globale pour des observateurs non-linéaires dont la forme est du type observateur de Luenberger ou filtre Kalman Etendu. Nous avons alors développé une méthode générale sur les observateurs et les symétries. La contribution théorique principale de la thèse est d’isoler une sous-classe de systèmes, et de donner pour ceux-ci une méthode de construction systématique d’observateurs non-linéaires candidats. L’équation de l’erreur entre état estimé et « vrai » état présente de fortes propriétés, qui rappellent les avantages du cas linéaire. Cette nouvelle théorie des observateurs invariants a été appliquée à plusieurs exemples issus de problèmes de l’ingénieur, en particulier la navigation inertielle aidée par mesure de vitesse. La dernière partie de la thèse montre que la méthodologie développée permet d’aborder des systèmes qui échappent au cadre de la théorie, nous développons notamment un observateur pour l’assimilation de données en océanographie
This thesis aims at developing nonlinear estimators, namely observers of the type of Luenberger or extended Kalman filter. We first build an observer to estimate internal concentrations in a polymerisation reactor of TOTAL. Using a model and the measurement of flows and temperatures we give a real-time estimation of the concentrations. The estimator was implemented on an industrial plant. Noticing the kinetic equations of chemistry are independent of the choice of units (mol/l of kg/l) we wondered on the possibility to preserve this property when building estimators. We realized this new constraint allows suggesting interesting candidates observers, and fruitful change of variables to study the asymptotic behaviour. Then we developed a general theory on observers and symmetries. The main contribution of the thesis is to isolate a large class of systems for which one can build interesting candidates observers. The error (between true and estimated state) equation has strong properties, reminding the linear stationary case. The theory was applied to several examples of engineering interest, in particular velocity-aided inertial navigation. The last part of the thesis shows the methodology is a useful guide to tackle some examples which do not belong to the theory’s framework. In particular we built an observer for data assimilation in oceanography
9

Suchla, Engelbert Peter [Verfasser]. "L²-Invariants for Self-Similar CW-Complexes / Engelbert Peter Suchla." Göttingen : Niedersächsische Staats- und Universitätsbibliothek Göttingen, 2020. http://d-nb.info/1221367811/34.

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Citro, Craig Louis. "L-invariants of adjoint square Galois representations coming from modular forms." Diss., Restricted to subscribing institutions, 2009. http://proquest.umi.com/pqdweb?did=1872905031&sid=1&Fmt=2&clientId=1564&RQT=309&VName=PQD.

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Books on the topic "L invariant":

1

Hikami, Kazuhiro. Hypergeometric generating function of L-function, Slater's identities, and quantum invariant. Kyoto, Japan: Kyōto Daigaku Sūri Kaiseki Kenkyūjo, 2004.

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Shu, Lin. On linear structure and phase rotation invariant properties of block 2[superscript l]-PSK modulation codes. [Washington, DC: National Aeronautics and Space Administration, 1990.

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Lück, Wolfgang. Lp2s-invariants: Theory and applications to geometry and K-theory. Berlin: Springer, 2002.

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Morgan, John W. The L²-moduli space and a vanishing theorem for Donaldson polynomial invariants. Cambridge, MA: International Press, 1994.

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Wegner, Christian. L²-invariants of finite aspherical CW-complexes with fundamental group containing a non-trivial elementary amenable normal subgroup. Münster: Drucktechnische Zentralstelle der Universität Mun̈ster, 2000.

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International Workshop on Zeta Functions in Algebra and Geometry (2nd 2010 Universitat de Les Illes Balears). Zeta functions in algebra and geometry: Second International Workshop on Zeta Functions in Algebra and Geometry, May 3-7, 2010, Universitat de Les Illes Balears, Palma de Mallorca, Spain. Edited by Campillo Antonio 1953-. Providence, R.I: American Mathematical Society, 2012.

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Brechenmacher, Frédéric. Algebraic generality versus arithmetic generality in the 1874 controversy between C. Jordan and L. Kronecker. Edited by Karine Chemla, Renaud Chorlay, and David Rabouin. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780198777267.013.16.

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This article revisits the 1874 controversy between Camille Jordan and Leopold Kronecker over two theorems, namely Jordan’s canonical forms and Karl Weierstrass’s elementary divisors theorem. In particular, it compares the perspectives of Jordan and Kronecker on generality and how their debate turned into an opposition over the algebraic or arithmetic nature of the ‘theory of forms’. It also examines the ways in which the various actors used the the categories of algebraic generality and arithmetic generality. After providing a background on the Jordan-Kronecker controversy, the article explains Jordan’s canonical reduction and Kronecker’s invariant computations in greater detail. It argues that Jordan and Kronecker aimed to ground the ‘theory of forms’ on new forms of generality, but could not agree on the types of generality and on the treatments of the general they were advocating.
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M¨uhlherr, Bernhard, Holger P. Petersson, and Richard M. Weiss. Totally Wild Quadratic Forms of Type E7. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691166902.003.0015.

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This chapter assumes that (K, L, q) is a totally wild quadratic space of type E₇. The goal is to prove the proposition that takes into account Λ‎ of type E₇, D as the quaternion division algebra over K whose image in Br(K) is the Clifford invariant of q, and the trace and trace map. The chapter also considers two other propositions: the first states that if the trace map is not equal to zero, then the Moufang residues R₀ and R₁ are not indifferent; the second states that if the trace map is equal to zero, then the Moufang residues R₀ and R₁ are both indifferent.
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Snaith, Victor P. Algebraic K-Groups as Galois Modules (Progress in Mathematics). Birkhäuser Basel, 2002.

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Book chapters on the topic "L invariant":

1

Lehmann, E. L. "Optimum Invariant Tests." In Selected Works of E. L. Lehmann, 183–86. Boston, MA: Springer US, 2011. http://dx.doi.org/10.1007/978-1-4614-1412-4_17.

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Lehmann, E. L., and J. Rojo. "Invariant Directional Orderings." In Selected Works of E. L. Lehmann, 793–803. Boston, MA: Springer US, 2011. http://dx.doi.org/10.1007/978-1-4614-1412-4_62.

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Cogdell, J. W., and I. I. Piatetski-Shapiro. "Derivatives and L-Functions for GL n." In Representation Theory, Number Theory, and Invariant Theory, 115–73. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-59728-7_5.

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Malyarenko, Anatoliy. "L 2 Theory of Invariant Random Fields." In Probability and Its Applications, 91–113. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-33406-1_3.

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Lubotzky, Alexander. "Spectral Decomposition of L 2(G(ℚ)\G(A))." In Discrete Groups, Expanding Graphs and Invariant Measures, 77–84. Basel: Birkhäuser Basel, 1994. http://dx.doi.org/10.1007/978-3-0346-0332-4_6.

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Christensen, Ole. "Shift-Invariant Systems in $$L^{2}(\mathbb{R})$$." In Applied and Numerical Harmonic Analysis, 241–56. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-25613-9_10.

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Arendt, Wolfgang, Charles J. K. Batty, Matthias Hieber, and Frank Neubrander. "Translation Invariant Operators on L p (ℝ n )." In Vector-valued Laplace Transforms and Cauchy Problems, 429–59. Basel: Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-0348-0087-7_8.

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Arendt, Wolfgang, Charles J. K. Batty, Matthias Hieber, and Frank Neubrander. "Translation Invariant Operators On L p (ℝ n )." In Vector-valued Laplace Transforms and Cauchy Problems, 423–54. Basel: Springer Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-5075-9_8.

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Lehmann, E. L., and C. M. Stein. "The Admissibility Of Certain Invariant Statistical Tests Involving A Translation Parameter." In Selected Works of E. L. Lehmann, 69–75. Boston, MA: Springer US, 2011. http://dx.doi.org/10.1007/978-1-4614-1412-4_8.

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Harris, Michael, and Jie Lin. "Period Relations and Special Values of Rankin-Selberg L-Functions." In Representation Theory, Number Theory, and Invariant Theory, 235–64. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-59728-7_9.

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Conference papers on the topic "L invariant":

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Podobryaev, Aleksei Vladimirovich. "Symmetries in left-invariant optimal control problems." In International Conference "Optimal Control and Differential Games" dedicated to the 110th anniversary of L. S. Pontryagin. Moscow: Steklov Mathematical Institute, 2018. http://dx.doi.org/10.4213/proc23030.

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SUZUKI, KOUTAROU. "E6 TURAEV-VIRO-OCNEANU INVARIANT OF LENS SPACE L(p, 1)." In Proceedings of the International Conference on Knot Theory and Its Ramifications. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812792679_0032.

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Xie, Jiahao, Sheng Zhang, Jianwei Lu, and Ye Luo. "L-Snet: From Region Localization To Scale Invariant Medical Image Segmentation." In 2021 IEEE International Conference on Image Processing (ICIP). IEEE, 2021. http://dx.doi.org/10.1109/icip42928.2021.9506382.

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Azeem Sarwar and Petros G. Voulgaris. "Conditions for l∞ and l2 system robustness for spatially invariant systems." In 2007 46th IEEE Conference on Decision and Control. IEEE, 2007. http://dx.doi.org/10.1109/cdc.2007.4434803.

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Joseph, Paul, and S. C. Sinha. "Control of Parametrically Excited Systems via Time-Invariant Methods." In ASME 1993 Design Technical Conferences. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/detc1993-0113.

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Abstract:
Abstract A new technique in the design of controllers for linear dynamic systems with periodically varying coefficients is presented. The idea is to utilize the well known Liapunov-Floquet (L-F) transformation such that the original time-varying system can be reduced to a form suitable for the application of standard time-invariant methods of control theory. For this purpose, a procedure for computing the L-F transformation matrices for general linear periodic systems is outlined. In this procedure the state transition matrices are expressed in terms of Chebyshev polynomials which permits the computation of L-F transformation matrices as explicit functions of time. Further, it is shown that controllers can be designed in the transformed domain via full state or observer based feedback using principles of root locus, pole placement and/or optimal control theory. The effectiveness of the proposed technique is demonstrated through three examples. The first example is a single mass inverted pendulum while in the second example a triple inverted pendulum subjected to a periodic follower load is considered. The third example chosen is a simply supported smart Euler-Bernoulli elastic column subjected to a periodic loading. It is found that time-invariant techniques can be employed effectively to achieve vibration control of parametrically excited linear systems.
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Al-Dulaimi, Khamael, Kien Nguyen, Jasmine Banks, Vinod Chandran, and Inmaculada Tomeo-Reyes. "Classification of White Blood Cells Using L-Moments Invariant Features of Nuclei Shape." In 2018 International Conference on Image and Vision Computing New Zealand (IVCNZ). IEEE, 2018. http://dx.doi.org/10.1109/ivcnz.2018.8634678.

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Berestovskii, Valerii Nikolaevich. "Geodesics and curvatures of left-invariant sub-Riemannian metrics on Lie groups." In International Conference "Optimal Control and Differential Games" dedicated to the 110th anniversary of L. S. Pontryagin. Moscow: Steklov Mathematical Institute, 2018. http://dx.doi.org/10.4213/proc22961.

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Sharma, Ashu, and Subhash C. Sinha. "On Computation of Approximate Lyapunov-Perron Transformations." In ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/detc2019-97702.

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Abstract:
Abstract Many dynamical systems can be modeled by a set of linear/nonlinear ordinary differential equations with quasi-periodic coefficients. Application of Lyapunov-Perron (L-P) transformations to such systems produce dynamically equivalent systems in which the linear parts are time-invariant. In this work, a technique for the computation of approximate L-P transformations is suggested. First, a quasi-periodic system is replaced by a periodic system with a ‘suitable’ large principal period to which Floquet theory can be applied. Then, the state transition matrix (STM) of the periodic system is computed in the symbolic form using shifted Chebyshev polynomials and Picard iteration method. Finally, since the STM can be expressed in terms of a periodic matrix and a time-invariant matrix (Lyapunov-Floquet theorem), this factorization is utilized to compute approximate L-P transformations. A two-frequency quasi-periodic system is investigated using the proposed method and approximate L-P transformations are generated for stable, unstable and critical cases. These transformations are also inverted by defining the adjoint system to the periodic system. Unlike perturbation and averaging, the proposed technique is not restricted by the existence of a generating solution and a small parameter. Approximate L-P transformations can be utilized to design controllers using time-invariant methods and may also serve as a powerful tool in bifurcation studies of nonlinear quasi-periodic systems.
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Subramanian, Susheelkumar C., Sangram Redkar, and Peter Waswa. "Lyapunov Perron Transformation for Linear Quasi-Periodic Systems." In ASME 2020 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/detc2020-22230.

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Abstract:
Abstract It is known that a Lyapunov Perron (L-P) transformation converts a quasi-periodic system into a reduced system with a time-invariant coefficient. Though a closed form expression for L-P transformation matrix is missing in the literature, the application of combination of multiple theories would aid in such transformation. In this work, the authors have worked on extending the Floquet theory to find L-P transformation. As an example, a commutative system with linear quasi-periodic coefficients is transformed into a system with time-invariant coefficient analytically. Furthermore, for non-commutative systems, similar results are obtained in this work, with the help of an intuitive state augmentation and Normal Forms technique. The results of the reduced system are compared with the numerical integration technique for validation.
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Darbon, J. "Total variation minimization with L/sup 1/ data fidelity as a contrast invariant filter." In Proceedings of the 4th International Symposium on Image and Signal Processing and Analysis. IEEE, 2005. http://dx.doi.org/10.1109/ispa.2005.195413.

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Reports on the topic "L invariant":

1

DE Boor, Carl, Ronald A. DeVore, and Amos Ron. Approximation from Shift-Invariant Subspaces of L sup 2 (R sup d). Fort Belvoir, VA: Defense Technical Information Center, July 1991. http://dx.doi.org/10.21236/ada238165.

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Weiss, George. Representation of Shift Invariant Operators on L2 by H at Infinity Transfer Functions: An Elementary Proof, a Generalization to L Rho and a Counterexample for L at Infinity. Fort Belvoir, VA: Defense Technical Information Center, March 1989. http://dx.doi.org/10.21236/ada207736.

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