Local exponential stabilization of semi-linear hyperbolic systems by means of a boundary feedback control - 文章详情页

作者：

Zhang, Liguo (Zhang, Liguo.) (学者：张利国) | Prieur, Christophe (Prieur, Christophe.) | Qiao, Junfei (Qiao, Junfei.) (学者：乔俊飞)

收录：

EI Scopus

摘要：

This　letter　investigates　the　boundary　feedback　control　for　a　class　of　semi-linear　hyperbolic　partial　differential　equations　with　nonlinear　relaxation,　which　is　local　Lipschitz　continuous　with　a　stable　matrix　structure.　A　sufficient　condition　in　terms　of　linear　inequalities　is　developed　for　the　existence　of　global　Cauchy　solutions　and　the　exponential　stability　by　seeking　a　balance　between　the　relaxation　term　and　the　boundary　condition.　These　results　are　illustrated　with　an　application　to　the　boundary　feedback　control　for　a　class　of　hyperbolic　Lotka-Volterra　models.　©　2017　IEEE.

关键词：

Lyapunov functions Feedback control Nonlinear equations Hyperbolic functions Boundary conditions

作者机构：

[ 1 ] [Zhang, Liguo]Faculty of Information Technology, Beijing University of Technology, Beijing; 100124, China
[ 2 ] [Zhang, Liguo]Key Laboratory of Computational Intelligence and Intelligent Systems, Beijing University of Technology, Beijing; 100124, China
[ 3 ] [Prieur, Christophe]CNRS, GIPSA-Laboratory, University of Grenoble, Grenoble; 38000, France
[ 4 ] [Qiao, Junfei]Faculty of Information Technology, Beijing University of Technology, Beijing; 100124, China
[ 5 ] [Qiao, Junfei]Key Laboratory of Computational Intelligence and Intelligent Systems, Beijing University of Technology, Beijing; 100124, China

通讯作者信息：

张利国
[zhang, liguo]key laboratory of computational intelligence and intelligent systems, beijing university of technology, beijing; 100124, china;;[zhang, liguo]faculty of information technology, beijing university of technology, beijing; 100124, china

电子邮件地址：

zhangliguo@bjut.edu.cn

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