Mode-dependent impulsive control of positive switched systems: Stability and L1-gain analysis

被引：11
|
作者：
Xi, Qiang [1 ]
Liu, Xinzhi [2 ]
机构：
[1] Shandong Univ Finance & Econ, Sch Math & Quantitat Econ, Jinan 250014, Peoples R China
[2] Univ Waterloo, Fac Math, Dept Appl Math, Waterloo, ON N2L 3G1, Canada
来源：
CHAOS SOLITONS & FRACTALS | 2020年 / 140卷 / 140期
基金：
加拿大自然科学与工程研究理事会; 中国国家自然科学基金;
关键词：
Mode-dependent impulsive control; Impulsive positive switched systems; Average dwell time; Global exponential stability; L-1-gain;
D O I：
10.1016/j.chaos.2020.110276
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper studies the stability and L-1-gain problems for impulsive positive switched systems (IPSS) consisting of both unstable and stable subsystems, and proposes a mode-dependent impulsive control (MDIC) method for the first time. By means of a piecewise linear co-positive Lyapunov function (PLCLF) and using average dwell time (ADT) approach, some sufficient criteria for global exponential stability (GES) and standard L-1-gain are established in terms of linear programming (LP), which can be verified conveniently by Matlab. A special impulsive controller is designed to guarantee the positivity and stability of the addressed system. Several numerical examples with simulations are provided to demonstrate the effectiveness of the obtained results. (c) 2020 Elsevier Ltd. All rights reserved.
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收藏
页数：11
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