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Homogeneous Lyapunov Functions for Homogeneous Infinite Dimensional Systems with Unbounded Nonlinear Operators

Andrey Polyakov 1
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 existence of a locally Lipschitz continuous homogeneous Lyapunov function is proven for a class of asymptotically stable homogeneous infinite dimensional systems with unbounded nonlinear operators.
Keywords : stability of distributed parameter systems homogeneous systems semigroup and operator theory
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https://hal.inria.fr/hal-02921426
Contributor : Andrey Polyakov Connect in order to contact the contributor
Submitted on : Sunday, February 21, 2021 - 9:48:50 AM
Last modification on : Friday, April 1, 2022 - 3:52:34 AM

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CRISTAL | UNIV-LILLE | CRISTAL-VALSE | CNRS | INRIA | INRIA2

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Andrey Polyakov. Homogeneous Lyapunov Functions for Homogeneous Infinite Dimensional Systems with Unbounded Nonlinear Operators. Systems and Control Letters, Elsevier, 2021, ⟨10.1016/j.sysconle.2020.104854⟩. ⟨hal-02921426v3⟩

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