Finite-time boundedness and L2-gain analysis for switched positive linear systems with multiple time delays

被引：17
作者：
Liu, Yang [1 ,2 ]
Tao, Wei [1 ]
Lee, Liming [1 ]
Lu, Jianquan [2 ]
机构：
[1] Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Peoples R China
[2] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2017年 / 27卷 / 17期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
switched positive linear systems; finite-time boundedness; L-2-gain; time delay; H-INFINITY CONTROL; NEURAL-NETWORKS; STABILITY; STABILIZATION; SYNCHRONIZATION; L(2)-GAIN; SUBJECT;
D O I：
10.1002/rnc.3746
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 study the finite-time boundedness, stabilization, and L-2-gain for switched positive linear systems (SPLS) with multiple time delays. Using multiple linear copositive Lyapunov functions, sufficient conditions in terms of linear matrix inequalities are obtained for the problems of finite-time boundedness and stabilization and the design of state feedback controllers for SPLS. Under asynchronous switching, L-2-gain analysis is developed for SPLS under the constraint of average dwell time. Numerical examples are given to illustrate our theoretical results. Copyright (C) 2017 John Wiley & Sons, Ltd.
引用
收藏
页码：3508 / 3523
页数：16
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