Yet another matrix commutator condition for stabilizability of discrete-time switched linear systems

被引：0
|
作者：
Kundu, Atreyee [1 ]
机构：
[1] Indian Inst Sci Bangalore, Dept Elect Engn, Bengaluru 560012, India
来源：
IFAC PAPERSONLINE | 2021年 / 54卷 / 05期
关键词：
switched systems; stability; matrix commutators; STABILIZATION; STABILITY;
D O I：
10.1016/j.ifacol.2021.08.489
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 deals with stability of discrete-time switched linear systems whose all subsystems are unstable. We present sufficient conditions on the subsystems matrices such that a switched system is globally exponentially stable under a set of purely time-dependent switching signals that are allowed to activate all subsystems. The main apparatuses for our analysis are (matrix) commutation relations between certain products of the subsystems matrices and graph-theoretic arguments. We present a numerical experiment to demonstrate our results. Copyright (C) 2021 The Authors.
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页码：145 / 150
页数：6
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