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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 <>
Submitted on : Saturday, December 19, 2020 - 9:33:21 AM
Last modification on : Friday, January 22, 2021 - 3:04:13 PM

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Andrey Polyakov. Homogeneous Lyapunov Functions for Homogeneous Infinite Dimensional Systems with Unbounded Nonlinear Operators. Systems and Control Letters, Elsevier, In press, ⟨10.1016/j.sysconle.2020.104854⟩. ⟨hal-02921426v2⟩

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