Exponential input-to-state stability of delay reaction-diffusion systems

被引：1

作者：

Ren, Meng-Zhen ^{[1
]}

Liu, Xiao-Zhen ^{[2
]}

Wu, Kai-Ning ^{[2
]}

机构：

[1] Shandong Polytech Coll, Jining, Peoples R China

[2] Harbin Inst Technol, Dept Math, Weihai 264209, Peoples R China

来源：

IET CONTROL THEORY AND APPLICATIONS | 2021年 / 15卷 / 08期

关键词：

OUTPUT-FEEDBACK CONTROL; NEURAL-NETWORKS; BOUNDARY CONTROL; TIME-DELAY; STABILIZATION;

D O I：

10.1049/cth2.12088

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 brief paper considers the exponential input-to-state stability (EISS) for delay reaction-diffusion systems (DRDSs). The distributed input and boundary input are both included in the considered model. Boundary input is an important characteristic for DRDSs which are a kind of partial differential systems. Using Lyapunov-Krasovskii functional method and Wirtinger-type inequality, a delay-dependent sufficient condition is obtained to ensure the EISS of DRDSs. Besides the effect of time delay on the EISS, this sufficient condition also shows the effect of the diffusion term on the EISS and this is a significant property of reaction-diffusion systems differing from the ordinary differential systems. At last, numerical examples are provided to show the effectiveness of the theoretical results.

引用

页码：1140 / 1147

页数：8

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