ON ROBUST STABILITY VIA COMPLETE LYAPUNOV KRASOVSKII FUNCTIONAL [PDF]
IFAC Proceedings Volumes, 2006 Abstract Stability of linear systems with norm-bounded uncertainties and uncertain time-varying delays is considered. The delays are supposed to be bounded and fast-varying (without any constraints on the delay derivative). Sufficient stability conditions are derived via complete Lyapunov-Krasovskii functional (LKF). A new LKF construction, which was
Emilia Fridman, Silviu Niculescu
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Constructing Lyapunov-Krasovskii functionals for linear time delay systems
Proceedings of the 2005, American Control Conference, 2005., 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 inequalities (LMIs).
Papachristodoulou, A +3 more
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Building coercive Lyapunov-Krasovskii functionals based on Razumikhin and Halanay approaches
International Journal of Robust and Nonlinear Control, 2023 In this paper, we provide a systematic and constructive way to build a Lyapunov-Krasovskii functional for time-delay systems whose stability can be established through the Razumikhin or the Halanay approaches. The constructed Lyapunov-Krasovskii functional turns out to be coercive, meaning sandwiched between functions of the state history norm, and to ...
Loko, Epiphane +2 more
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Lyapunov–Krasovskii functionals for predictor feedback control of linear systems with multiple input delays [PDF]
Applied Mathematics and Computation, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao-Yan Li, Bin Zhou 0001, James Lam
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Stabilization and control of unstable discrete linear delay systems using pole-placement and Lyapunov-Krasovskii Functional Methods [PDF]
مجلة جامعة الزيتونةStabilizing and controlling unstable discrete linear delay systems present significant challenges, primarily due to the destabilizing effects of time delays.
Abdunaser Abdusamad, Farag Mousa
doaj +1 more source
Dynamic multi‐objective optimisation of complex networks based on evolutionary computation
IET Networks, EarlyView., 2022 Abstract As the problems concerning the number of information to be optimised is increasing, the optimisation level is getting higher, the target information is more diversified, and the algorithms are becoming more complex; the traditional algorithms such as particle swarm and differential evolution are far from being able to deal with this situation ...
Linfeng Huang
wiley +1 more source
What ODE-Approximation Schemes of Time-Delay Systems Reveal about Lyapunov-Krasovskii Functionals [PDF]
, 2023 The article proposes an approach to complete-type and related Lyapunov-Krasovskii functionals that neither requires knowledge of the delay Lyapunov matrix function nor does it involve linear matrix inequalities.
Hagenmeyer, Veit +2 more
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Delay-dependent exponential stability of neutral stochastic delay systems [PDF]
, 2009 This paper studies stability of neutral stochastic delay systems by linear matrix inequality (LMI) approach. Delay dependent criterion for exponential stability is presented and numerical examples are conducted to verify the effectiveness of the proposed
Mao, X., Huang, L.
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Stabilization of Lur’e-type nonlinear control systems by Lyapunov-Krasovskii functionals [PDF]
Advances in Difference Equations, 2012 Abstract The paper deals with the stabilization problem of Lur’e-type nonlinear indirect control systems with time-delay argument. The sufficient conditions for absolute stability of the control system are established in the form of matrix algebraic inequalities and are obtained by the direct Lyapunov method. MSC:34H15,
Shatyrko, Andrej +3 more
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Converse Lyapunov-Krasovskii theorems for uncertain retarded differential equations [PDF]
, 2015 International audienceIn this article we give a collection of converse Lyapunov–Krasovskii theorems for uncertain retarded differential equations.
Mario Sigalotti +5 more
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