Robust decentralized stabilization for large-scale time-delay system via impulsive control

被引：4

作者：

Yu, Tianhu ^{[1
,2
]}

Cao, Dengqing ^{[2
]}

Huang, Wenhu ^{[2
]}

机构：

[1] Luoyang Normal Univ, Dept Math, Luoyang 471002, Peoples R China

[2] Harbin Inst Technol, Sch Astronaut, POB 137, Harbin 150001, Peoples R China

来源：

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2019年 / 36卷 / 04期

关键词：

global exponential stabilization; large-scale system; time delay; uncertainty; decentralized impulsive control; COMPLEX DYNAMICAL NETWORKS; H-INFINITY-CONTROL; EXPONENTIAL STABILIZATION; NEURAL-NETWORKS; INTERCONNECTED SYSTEMS; NONIDENTICAL NODES; STABILITY ANALYSIS; SYNCHRONIZATION; DESIGN; CONSENSUS;

D O I：

10.1093/imamci/dny024

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Global exponential stabilization for a class of uncertain large-scale system with time delay is investigated via the impulsive control method in this paper. Using a time-varying Lyapunov function related to impulsive time sequence and convex combination technique, the stability criteria in terms of linear matrix inequality are presented to guarantee the global exponential stability of large-scale interconnected system with impulsive control. Both the existence and the design approach of the decentralized impulsive control can be obtained by solving the corresponding linear matrix inequalities. Meanwhile, the decay rate for exponential stabilization is also obtained. Typical numerical examples are given to illustrate the validity of the theoretical results obtained here.

引用

页码：1181 / 1198

页数：18

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