Asynchronously finite-time control of discrete impulsive switched positive time-delay systems

被引：63

作者：

Liu, Tingting ^{[1
]}

Wu, Baowei ^{[1
]}

Liu, Lili ^{[1
]}

Wang, Yue-e ^{[1
]}

机构：

[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710119, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2015年 / 352卷 / 10期

基金：

中国国家自然科学基金;

关键词：

H-INFINITY CONTROL; LINEAR-SYSTEMS; SUFFICIENT CONDITIONS; L-1; CONTROL; STABILITY; STABILIZATION; CRITERIA;

D O I：

10.1016/j.jfranklin.2015.06.015

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 finite-time control for a class of discrete impulsive switched positive time-delay systems under asynchronous switching is discussed in this paper. First, by choosing a Lyapunov-Krasovskii functional, some sufficient conditions for the existence of a family of asynchronously switched controllers are derived such that the resulting closed-loop system is finite-time stable based on the mode-dependent average dwell time approach. Second, the specific form of desired controller gains is given. Moreover, all the obtained results are formulated in terms of algebraic matrix inequalities which can be solved by virtue of LP toolbox. Finally, a numerical example is exploited to show that the obtained results are effective. (C) 2015 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：4503 / 4514

页数：12

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