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

Andrey Polyakov

doi:10.1016/j.sysconle.2020.104854

Journal Articles Systems and Control Letters Year : 2020

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

(1)

Andrey Polyakov

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PersonId : 735471
IdHAL : andrey-polyakov
ORCID : 0000-0002-5876-3495
IdRef : 183981111

Finite-time control and estimation for distributed systems

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

Domains

Automatic Control Engineering

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

Submitted on : Saturday, December 19, 2020-9:33:21 AM

Last modification on : Friday, May 31, 2024-6:32:03 PM

Dates and versions

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

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

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

Identifiers

HAL Id : hal-02921426 , version 2
DOI : 10.1016/j.sysconle.2020.104854

Cite

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

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

Abstract

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