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Lyapunov-Krasovskii functional for discretized homogeneous systems

Denis Efimov 1 Alexander Aleksandrov 2
1 VALSE - Finite-time control and estimation for distributed systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : The paper is devoted to stability analysis of discrete-time time-delay systems, obtained after explicit Euler discretization of (locally) homogeneous continuous-time models. The results are derived by applying the Lyapunov-Krasovskii theory. A generic structure of the functional is given that suits for any homogeneous system of non-zero degree (and it can also be used for any dynamics admitting a homogeneous approximation). The obtained conditions are utilized to demonstrate stability for a discretized delayed locally homogeneous planar system with negative and positive degrees.
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Submitted on : Thursday, April 8, 2021 - 8:06:08 PM
Last modification on : Friday, April 1, 2022 - 3:52:34 AM

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Denis Efimov, Alexander Aleksandrov. Lyapunov-Krasovskii functional for discretized homogeneous systems. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2021, 59 (4), pp.2546-2569. ⟨10.1137/20M1340447⟩. ⟨hal-03193489⟩

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