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

Andrey Polyakov

doi:10.1016/j.sysconle.2020.104854

Article Dans Une Revue Systems and Control Letters Année : 2021

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

(1)

Andrey Polyakov

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ORCID : 0000-0002-5876-3495
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Finite-time control and estimation for distributed systems

Résumé

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.

Mots clés

stability of distributed parameter systems homogeneous systems semigroup and operator theory

Domaines

Automatique

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https://inria.hal.science/hal-02921426

Soumis le : dimanche 21 février 2021-09:48:50

Dernière modification le : vendredi 31 mai 2024-18:32:03

Dates et versions

hal-02921426 , version 1 (25-08-2020)

hal-02921426 , version 2 (19-12-2020)

hal-02921426 , version 3 (21-02-2021)

Identifiants

HAL Id : hal-02921426 , version 3
DOI : 10.1016/j.sysconle.2020.104854

Citer

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

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

Résumé

Mots clés

Domaines

Dates et versions

Identifiants

Citer

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