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Article Dans Une Revue SIAM Journal on Control and Optimization Année : 2021

Lyapunov-Krasovskii functional for discretized homogeneous systems

Résumé

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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Dates et versions

hal-03193489 , version 1 (08-04-2021)

Identifiants

Citer

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