On parameterized Lyapunov–Krasovskii functional techniques for investigating singular time-delay systems [PDF]
Applied Mathematics Letters, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bao-Wei Wu
exaly +3 more sources
Lyapunov--Krasovskii Functional for Discretized Homogeneous Systems [PDF]
SIAM Journal on Control and Optimization, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Efimov, Denis, Aleksandrov, Alexander
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Almost Surely Exponential Convergence Analysis of Time Delayed Uncertain Cellular Neural Networks Driven by Liu Process via Lyapunov–Krasovskii Functional Approach [PDF]
Entropy, 2023 As with probability theory, uncertainty theory has been developed, in recent years, to portray indeterminacy phenomena in various application scenarios.
Chengqiang Wang +3 more
doaj +2 more sources
ISS characterization of retarded switching systems with relaxed Lyapunov–Krasovskii functionals
2022 IEEE 61st Conference on Decision and Control (CDC), 2022 This paper gives further insights about the Lyapunov-Krasovskii characterization of input-tostate stability (ISS) for switching retarded systems on the basis of the results in [I. Haidar and P. Pepe. Lyapunov-krasovskii characterization of the input-to-state stability for switching retarded systems.
Haidar, Ihab, Pepe, Pierdomenico
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Construction of Lyapunov-Krasovskii functional for time-varying delay systems [PDF]
2008 47th IEEE Conference on Decision and Control, 2008 This paper provides some new techniques to construct a Lyapunov-Krasovskii functional for time varying delay systems. The construction is based on a partitioning scheme of the time-varying delay leading to a new type of Lyapunov-Krasovskii functional. This functional is depending on an augmented state and also on an integral quadratic constraint added ...
Yassine Ariba, Frédéric Gouaisbaut
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Lyapunov-Krasovskii Functionals Parameterized with polynomials [PDF]
IFAC Proceedings Volumes, 2009 A novel method based on Lyapunov-Krasovskii functionals for the stability analysis of linear systems with constant is introduced. The Lyapunov-Krasovskii functionals are provided using polynomial parameters. Stability conditions are derived in the form of linear matrix inequalities. Examples show that these computationally tractable conditions can give
Seuret, Alexandre, Alexandre Seuret
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State Estimation for Standard Neural Network Models with Time-Varying Delays
Complexity, 2022 The paper deals with the issue of state estimation for standard neural network models with time-varying delays. A new augmented vector with the derivative of the state is introduced in the Lyapunov–Krasovskii functional. The state estimation criteria are
Jin Zhu, Tai-Fang Li, Huanqing Wang
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Delay-Dependent Stability, Integrability and Boundedeness Criteria for Delay Differential Systems
Axioms, 2021 This paper deals with non-perturbed and perturbed systems of nonlinear differential systems of first order with multiple time-varying delays. Here, for the considered systems, easily verifiable and applicable uniformly asymptotic stability, integrability,
Osman Tunç, Cemil Tunç, Yuanheng Wang
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IEEE Access, 2020 In this paper, the problems of finite-time stability and stabilization for switched positive linear time-delay systems under mode-dependent average dwell time (MDADT) are investigated.
Li-Juan Liu +3 more
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Stability Analysis of Switched Systems Using Lyapunov-Krasovskii Functionals [PDF]
IFAC Proceedings Volumes, 2011 Abstract Piecewise Lyapunov-Razumikhin functions are previously used for obtaining a lower bound for the dwell time of the switched time delay systems under the assumption that each candidate system is delay dependently stable. In this work, using Lyapunov-Krasovskii functionals, a less conservative lower bound for the dwell time is obtained ...
Caliskan, S.Y. +2 more
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