Results 81 to 90 of about 3,093,425 (173)
Constructing Lyapunov-Krasovskii functionals for linear time delay systems
, 2005 We present an algorithmic methodology for constructing Lyapunov-Krasovskii (L-K) functionals for linear time-delay systems, using the sum of squares decomposition of multivariate polynomials to solve the related infinite dimensional Linear Matrix ...
Papachristodoulou, Antonis +3 more
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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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Instability of Non-Linear Functional Differential Equations of Fifth Order
Journal of Mathematical and Fundamental Sciences, 2014 In this paper, we study the instability properties of solutions of a kind of functional differential equations of the fifth order with constant delay. Using the Lyapunov-Krasovskii functional approach, we obtain certain sufficient conditions to guarantee
Cemil Tunc
doaj
, 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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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
doaj +1 more source
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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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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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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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
core
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
core +1 more source