Optimal partitioning method for stability analysis of continuous/discrete delay systems

被引：82

作者：

Feng, Zhiguang ^{[1
]}

Lam, James ^{[2
]}

Yang, Guang-Hong ^{[3
,4
]}

机构：

[1] Bohai Univ, Coll Informat Sci & Technol, Jinzhou, Liaoning, Peoples R China

[2] Univ Hong Kong, Dept Mech Engn, Pokfulam, Hong Kong, Peoples R China

[3] Northeastern Univ, Coll Informat Sci & Engn, Shenyang, Liaoning, Peoples R China

[4] Northeastern Univ, Key Lab Integrated Automat Proc Ind, Minist Educ, Shenyang, Peoples R China

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2015年 / 25卷 / 04期

关键词：

delay partitioning; continuous-time systems; discrete-time systems; time-varying delay; CRITERIA; STABILIZATION;

D O I：

10.1002/rnc.3106

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 problem of stability analysis for continuous-time/discrete-time systems with interval time-varying delay. Based on the idea of partitioning the delay interval into l nonuniform subintervals, new Lyapunov functionals are established. By utilizing the reciprocally convex approach to deal with the delay information in each subinterval, sufficient stability conditions are proposed in terms of linear matrix inequalities. Based on these criteria, the optimal partitioning method is given on the basis of the genetic algorithm. Finally, the reduced conservatism of the results in this paper is illustrated by numerical examples. Copyright (c) 2013 John Wiley & Sons, Ltd.

引用

页码：559 / 574

页数：16

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