Results 91 to 100 of about 3,133,085 (202)
Extensions of Razumikhin's Theorem and Lyapunov-Krasovskii Functional Constructions for Time-Varying Systems with Delay * [PDF]
, 2017 International audienceWe prove extensions of Razumikhin's theorem for time-varying continuous and discrete time nonlinear systems. Our results include a novel 'strictification' technique for converting a nonstrict Lyapunov function into a strict one.
Malisoff, Michael, Mazenc, Frédéric
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IEEE Access, 2017 This paper investigates the problem of delay-dependent stability for discrete-time systems with time-varying delays. A novel augmented Lyapunov-Krasovskii functional is proposed in deriving stability criteria in which the feasible region is enhanced ...
Myeong-Jin Park +3 more
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Input-to-State Stability for Dynamical Neural Networks with Time-Varying Delays
Abstract and Applied Analysis, 2012 A class of dynamical neural network models with time-varying delays is considered. By employing the Lyapunov-Krasovskii functional method and linear matrix inequalities (LMIs) technique, some new sufficient conditions ensuring the input-to-state ...
Weisong Zhou, Zhichun Yang
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, 2017 The primary contribution of the paper is to show that the Lyapunov–Krasovskii conditions available in the literature, for checking the input-to-state stability property of systems described by neutral functional differential equations in Hale’s form ...
I. Karafyllis +5 more
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Consensus Formation Control for a Class of Networked Multiple Mobile Robot Systems
Journal of Control Science and Engineering, 2012 A consensus-based formation control for a class of networked multiple mobile robots is investigated with a virtual leader approach. A novel distributed control algorithm is designed based on the Lyapunov method and linear matrix inequality (LMI ...
Long Sheng, Ya-Jun Pan, Xiang Gong
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State bounding estimation for a linear continuous-time singular system with time-varying delay
Advances in Difference Equations, 2019 This paper investigates the problem of a state bounding estimation for a linear continuous-time singular system with time-varying delay. By employing the maximal Lyapunov–Krasovskii functional and applying the new free-matrix-based integral inequality ...
Jianying Xiao, Fang Xu
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Lyapunov-Krasovskii Functionals of Robust Type and Their Legendre-Tau-Based Approximation [PDF]
Lyapunov-Krasovskii functionals of robust type have recently been introduced for the stability analysis in time-delay systems. They are inspired by the wide-spread Lyapunov-Krasovskii functionals of complete type, but aim at improved robustness results ...
Hagenmeyer, Veit +2 more
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A note on converse Lyapunov-Krasovskii theorems for nonlinear neutral systems in Sobolev spaces [PDF]
, 2019 International audienceThe problem of existence of a Lyapunov-Krasovskii functional (LKF) for nonlinear neutral type time-delay systems is revisited considering the uniform stability analysis and the LKF in a Sobolev space of absolutely continuous ...
Fridman, Emilia, Efimov, Denis
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Journal of Applied Mathematics, 2012 The robust stochastic stability for a class of uncertain neutral-type delayed neural networks driven by Wiener process is investigated. By utilizing the Lyapunov-Krasovskii functional and inequality technique, some sufficient criteria are presented in ...
Weiwei Zhang, Linshan Wang
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On Robust Stability for Uncertain Time-Delay Systems: A Polyhedral Lyapunov-Krasovskii Approach
, 2005 In this paper, the problem of robust stability for a class of time-delay systems is investigated. The uncertainties possessed in the systems are assumed to be time invariant and belong to a convex bounded polytopic domain.
Shi, Peng +3 more
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