Title
Stability analysis of cyclic switched linear systems: An average cycle dwell time approach
Abstract
In this paper, the stability problem of switched linear systems with a class of cyclic switching signals is investigated. Firstly, a new concept of average cycle dwell time (ACDT) is introduced to relax the conservativeness of cycle dwell time that is extensively used in the literature. In addition, the ACDT is further extended to stable cyclic switching sequence dependent average cycle dwell time (S-ACDT) and unstable cyclic switching sequence dependent average cycle dwell time (U-ACDT). Secondly, the stability criteria for cyclic switched linear (or nonlinear) systems with ACDT or both S-ACDT and U-ACDT are derived by resorting to a technique that uses multiple Lyapunov functions. Both cyclic switched linear systems and cyclic switched nonlinear systems which contain all stable subsystems or partly stable subsystems are studied. Finally, a numerical example is given to demonstrate the feasibility of the proposed techniques.
Year
DOI
Venue
2021
10.1016/j.ins.2020.07.053
Information Sciences
Keywords
DocType
Volume
Stability,Cyclic switched linear systems,Average cycle dwell time,Stable (or unstable) cyclic switching sequence dependent average cycle dwell time
Journal
544
ISSN
Citations 
PageRank 
0020-0255
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Tao Sun116816.47
Tao Liu25714.98
Xi-Ming Sun385062.94