Improved stability criteria for switched positive linear systems with average dwell time switching

被引：120

作者：

Yin, Yunfei ^{[1
,2
]}

Zong, Guangdeng ^{[3
]}

Zhao, Xudong ^{[1
]}

机构：

[1] Bohai Univ, Coll Engn, Jinzhou 121013, Liaoning, Peoples R China

[2] Harbin Inst Technol, Sch Astronaut, Res Inst Intelligent Control & Syst, Harbin 150001, Peoples R China

[3] Qufu Normal Univ, Sch Engn, Rizhao 276826, Shandong, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2017年 / 354卷 / 08期

关键词：

S FUZZY-SYSTEMS; CONTROLLER SYNTHESIS; STABILIZATION; REACHABILITY;

D O I：

10.1016/j.jfranklin.2017.02.005

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, stability analysis for switched positive linear systems (SPLSs) with average dwell time switching is revisited and discussed in both continuous-time and discrete-time contexts. By utilizing system positivity, two simple stability conditions with fewer constraints are first proposed for SPLSs on the basis of multiple linear copositive Lyapunov functions (MLCLFs). Based on the developed results, three novel concepts called closed-chain, l-open-chain and quasi-cyclic switching signals are introduced to derive some results that are not only simple but also less conservative. All the obtained results are formulated in terms of linear matrix inequalities and can guarantee the global exponential stability of SPLSs under ADT switching. To illustrate the advantages of our established results, a numerical example is finally given. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：3472 / 3484

页数：13

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