Global exponential stability of 2D switched positive nonlinear systems described by the Roesser model

被引：17

作者：

Tian, Dadong ^{[1
]}

Liu, Shutang ^{[1
]}

Wang, Wen ^{[1
]}

机构：

[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2019年 / 29卷 / 07期

基金：

中国国家自然科学基金;

关键词：

average dwell time; exponential stability; Roesser model; switched positive nonlinear systems; TIME-VARYING SYSTEMS; AVERAGE DWELL TIME; LINEAR-SYSTEMS; ASYMPTOTIC STABILITY; STABILIZATION; DELAY; CRITERION;

D O I：

10.1002/rnc.4484

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, we aim to investigate the stability of 2D switched positive nonlinear systems with time-varying delays in the Roesser model, which includes 2D switched positive linear systems as a special case. By using the average dwell time approach, we give a sufficient condition for the exponential stability of 2D switched positive nonlinear systems. The difficulty caused by the delays is overcome by introducing a model transform and the method used in this paper is different from conventional Lyapunov-Krasovskii functional method. An explicit exponential bound on the decay rate is presented. We also extend the result to the general 2D switched linear systems, not necessarily positive. Finally, an illustrative example is given to demonstrate the effectiveness of the obtained result.

引用

页码：2272 / 2282

页数：11

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