Results 31 to 40 of about 46,821 (215)
Wirtinger-Type Inequality and the Stability Analysis of Delayed Lur'e System
Discrete Dynamics in Nature and Society, 2013 This paper proposes a new delay-depended stability criterion for a class of delayed Lur'e systems with sector and slope restricted nonlinear perturbation.
Zixin Liu +3 more
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IEEE Access, 2018 This paper addresses H∞ synchronization for uncertain chaotic systems with one-sided Lipschitz nonlinearity under the output and intrinsic state delays.
Zhanshan Zhao +3 more
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Weighted Nash Inequalities [PDF]
, 2010 Nash or Sobolev inequalities are known to be equivalent to ultracontractive properties of Markov semigroups, hence to uniform bounds on their kernel densities.
Bakry, Dominique +3 more
core +6 more sources
A Lyapunov-Type Inequality for a Fractional Differential Equation under a Robin Boundary Condition
Journal of Function Spaces, 2015 We establish a new Lyapunov-type inequality for a class of fractional differential equations under Robin boundary conditions. The obtained inequality is used to obtain an interval where a linear combination of certain Mittag-Leffler functions has no real
Mohamed Jleli +2 more
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Journal of Inequalities and Applications, 2019 A Lyapunov-type inequality is derived for a nonlinear fractional boundary value problem involving Caputo-type fractional derivative. The obtained inequality provides a necessary condition for the existence of nontrivial solutions to the considered ...
Mohamed Jleli, Bessem Samet, Yong Zhou
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Journal of Inequalities and Applications, 2019 This paper is devoted to studying the Lyapunov-type inequality for sequential Hilfer fractional boundary value problems. We first provide some properties of Hilfer fractional derivative, and then establish Lyapunov-type inequalities for a sequential ...
Wei Zhang, Wenbin Liu
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Lyapunov conditions for Super Poincaré inequalities
Journal of Functional Analysis, 2009 In this interesting paper, the authors show how to use Lyapunov functions to obtain functional inequalities which are stronger than Poincaré inequality (for instance logarithm Sobolev or \(F-\)Sobolev. They build Lyapunov functions, either as a function of the log-density or as a function of the Riemannian distance.
Cattiaux, Patrick +3 more
openaire +4 more sources
Solution Bounds and Numerical Methods of the Unified Algebraic Lyapunov Equation
Mathematics, 2022 In this paper, applying some properties of matrix inequality and Schur complement, we give new upper and lower bounds of the solution for the unified algebraic Lyapunov equation that generalize the forms of discrete and continuous Lyapunov matrix ...
Juan Zhang, Shifeng Li, Xiangyang Gan
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A Characterization of Lyapunov Inequalities for Stability of Switched Systems
, 2016 We study stability criteria for discrete-time switched systems and provide a meta-theorem that characterizes all Lyapunov theorems of a certain canonical type.
Ahmadi, Amirali +3 more
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Space-time directional Lyapunov exponents for cellular automata
, 2006 Space-time directional Lyapunov exponents are introduced. They describe the maximal velocity of propagation to the right or to the left of fronts of perturbations in a frame moving with a given velocity.
B. Kamiński +8 more
core +1 more source