Dwell time stability and stabilization of interval discrete-time switched positive linear systems

被引：36
作者：
Li, Yang [1 ]
Zhang, Hongbin [1 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Elect Engn, Chengdu 611731, Sichuan, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2019年 / 33卷
基金：
中国国家自然科学基金;
关键词：
Stability; Stabilization; Dwell time; Interval uncertainties; Discrete-time switched positive linear systems; COPOSITIVE LYAPUNOV FUNCTIONS; ROBUST STABILITY; EQUIVALENCE; PERFORMANCE; MINIMUM;
D O I：
10.1016/j.nahs.2019.02.001
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper investigates the dwell time stability and stabilization problems of discrete-time switched positive linear systems (DSPLSs) with interval uncertainties. The dwell time refers to constant dwell time, ranged dwell time and minimum dwell time. At first, some sufficient conditions are presented for the dwell time stability of primal and transpose interval DSPLSs. Meanwhile, the conservatisms of these conditions are compared. Then, equivalent stabilization conditions are presented for interval DSPLSs with dwell time. The controller gain matrices can be computed by solving the convex lifted conditions directly. All the results are given in terms of linear programming (LP). At last, several numerical examples verify the correctness and significance of the results. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码：116 / 129
页数：14
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