Stability analysis of a 1D wave equation with a nonmonotone distributed damping

被引：0

作者：

Marx, Swann ^{[1
]}

Chitour, Yacine ^{[2
]}

Prieur, Christophe ^{[3
]}

机构：

[1] Univ Toulouse, CNRS, LAAS, 7 Ave Colonel Roche, F-31400 Toulouse, France

[2] Univ Paris Sud, Cent Supelec, CNRS, L2S, 3 Rue Joliot Curie, F-91192 Gif Sur Yvette, France

[3] Univ Grenoble Alpes, CNRS, Grenoble INP, Gipsa Lab, F-38000 Grenoble, France

来源：

IFAC PAPERSONLINE | 2019年 / 52卷 / 16期

基金：

欧洲研究理事会;

关键词：

1D wave equation; nonlinear control; Lyapunov functionals; DECAY;

D O I：

10.1016/j.ifacol.2019.11.752

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is concerned with the asymptotic stability analysis of a one dimensional wave equation subject to a nonmonotone distributed damping. A well-posedness result is provided together with a precise characterization of the asymptotic behavior of the trajectories of the system under consideration. The well-posedness is proved in the nonstandard L-P functional spaces, with p is an element of [2, infinity], and relies mostly on some results collected in Haraux (2009). The asymptotic behavior analysis is based on an attractivity result on a specific infinite-dimensional linear time-variant system. (C) 2019, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

引用

页码：36 / 41

页数：6

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