A generalized mode-dependent average dwell time approach to stability analysis of positive switched systems with two subsystems

被引：7

作者：

Yu, Qiang ^{[1
]}

Yuan, Xiaoyan ^{[1
]}

机构：

[1] Shanxi Normal Univ, Coll Math & Informat Sci, Linfen 041004, Shanxi, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2020年 / 357卷 / 14期

关键词：

COPOSITIVE LYAPUNOV FUNCTIONS; LINEAR-SYSTEMS; STABILIZABILITY; STABILIZATION; CRITERIA;

D O I：

10.1016/j.jfranklin.2020.07.047

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The stability problem for positive switched systems with two subsystems is investigated with an improved mode-dependent average dwell time (MDADT) scheme. By utilizing system positivity and the new scheme, the stability conditions of the considered system are addressed. The proposed switching law is more applicable in practice than the average dwell time (ADT) and MDADT schemes with certain conditions, and those existing methods can be regarded as some special cases of the theoretical findings in the paper. Then, the new stability criteria are extended to non-autonomous systems. Finally, two simulation examples with some comparisons to the classical results are given to illustrate the advantages of our obtained results. (C) 2020 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：9976 / 9991

页数：16

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