Stability and Robust Stability of Switched Positive Linear Systems With All Modes Unstable

被引：34

作者：

Feng, Shaoxia ^{[1
,2
]}

Wang, Juan ^{[3
]}

Zhao, Jun ^{[2
,4
]}

机构：

[1] Shanxi Inst Mech & Elect Engn, Changzhi 046011, Peoples R China

[2] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Liaoning, Peoples R China

[3] Shenyang Jianzhu Univ, Fac Informat & Control Engn, Shenyang 110168, Liaoning, Peoples R China

[4] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Liaoning, Peoples R China

来源：

IEEE-CAA JOURNAL OF AUTOMATICA SINICA | 2019年 / 6卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Discretized co-positive Lyapunov functions; mode-dependent dwell time; robust stability; switched positive linear systems (SPLSs); unstable subsystem; LYAPUNOV FUNCTIONS; STATE-FEEDBACK; STABILIZATION; UNCERTAINTIES; L-2-GAIN;

D O I：

10.1109/JAS.2017.7510718

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 stability and robust stability of switched positive linear systems (SPLSs) whose subsystems are all unstable. By means of the mode-dependent dwell time approach and a class of discretized co-positive Lyapunov functions, some stability conditions of switched positive linear systems with all modes unstable are derived in both the continuous-time and the discrete-time cases, respectively. The co-positive Lyapunov functions constructed in this paper are time-varying during the dwell time and time-invariant afterwards. In addition, the above approach is extended to the switched interval positive systems. A numerical example is proposed to illustrate our approach.

引用

页码：167 / 176

页数：10

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