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
Lyapunov-Krasovskii functional for discretized homogeneous systems [PDF]
, 2021 International audienceThe paper is devoted to stability analysis of discrete-time time-delay systems, obtained after explicit Euler discretization of (locally) homogeneous continuous-time models.
Aleksandrov, Alexander, y +2 more
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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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ISS characterization of retarded switching systems with relaxed Lyapunov-Krasovskii functionals *
, 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.
Pepe, Pierdomenico, Haidar, Ihab
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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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On parameterized Lyapunov–Krasovskii functional techniques for investigating singular time-delay systems [PDF]
, 2011 The problem of robust stability of a singular time-delay system is investigated. A novel Lyapunov–Krasovskii functional (LKF) is introduced which is a singular-type complete quadratic Lyapunov–Krasovskii functional with polynomial parameters.
Peng, Ji-Gen +5 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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Discretization schemes for Lyapunov-Krasovskii functionals in time-delay systems [PDF]
, 2001 summary:This article gives an overview of discretized Lyapunov functional methods for time-delay systems. Quadratic Lyapunov–Krasovskii functionals are discretized by choosing the kernel to be piecewise linear.
Gu, Keqin
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Lyapunov-Krasovskii Functionals Parameterized with Polynomials [PDF]
, 2009 International audienceA 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
Seuret, Alexandre, Alexandre Seuret
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