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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.
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Preprints, Working Papers, ...
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Submitted on : Tuesday, August 25, 2020 - 10:54:19 AM
Last modification on : Wednesday, March 23, 2022 - 3:51:28 PM
Long-term archiving on: : Tuesday, December 1, 2020 - 7:03:46 AM

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Andrey Polyakov. Homogeneous Lyapunov Functions for Homogeneous Infinite Dimensional Systems with Unbounded Nonlinear Operators. 2020. ⟨hal-02921426v1⟩

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