A limit inferior ‐dependent average dwell time approach for stability analysis of switched systems

2020 ◽  
Vol 31 (2) ◽  
pp. 565-581
Author(s):  
Qiang Yu ◽  
Guisheng Zhai
Keyword(s):  
Stability Analysis ◽  
Switched Systems ◽  
Dwell Time ◽  
Average Dwell Time

Stability analysis of switched systems with extended average dwell time

2017 ◽  
Vol 40 (5) ◽  
pp. 1425-1434 ◽  
Author(s):  
Qiang Yu ◽  
Yunfei Yin ◽  
Xudong Zhao
Keyword(s):  
Stability Analysis ◽  
Continuous Time ◽  
Switched Systems ◽  
Dwell Time ◽  
Average Dwell Time ◽  
The Other ◽  
Open Chain ◽  
Closed Chain ◽  
Special Cases ◽  
Stability And Stabilization

The problem of stability for switched systems with extended average dwell time (ADT) is investigated in both the continuous-time and discrete-time cases. By proposing three novel concepts of closed-chain, r-open-chain, and quasi-cyclic switching signals, stability and stabilization conditions of switched systems with ADT or mode-dependent ADT (MDADT) switching are obtained. This paper develops and enriches the existing results on stability under constrained switching, since the existing results based on both ADT and MDADT can be seen as the special cases of ours. On the other hand, the paper provides a solution to the open problem of how to obtain a tighter bound on ADT or MDADT. Finally, some comparisons between the existing results and ours show the superiority of the theoretical findings of this paper.

scholarly journals Stability Analysis of Fractional Switched Systems With Stable and Unstable Subsystems

2021 ◽  
Author(s):  
Ran Yang ◽  
Song Liu ◽  
Xiaoyan Li ◽  
Jian Xiao
Keyword(s):  
Stability Analysis ◽  
Asymptotic Stability ◽  
Switched Systems ◽  
Dwell Time ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Stability Conditions ◽  
Razumikhin Technique ◽  
Unstable Subsystems ◽  
Slow Switching

Abstract This article addresses stability of fractional switched systems (FSSs) with stable and unstable subsystems. First, several algebraic conditions are presented to guarantee asymptotic stability by applying multiple Lyapunov function (MLF) method, dwell time technique and fast-slow switching mechanism. Then, some stability conditions which have less conservation are also provided by utilizing average dwell time (ADT) technique and the property of Mittag-Leffler function. In addition, sufficient conditions on asymptotic stability of delayed FSSs are obtained by virtue of fractional Razumikhin technique. Finally, several examples are given to reveal that the conclusions obtained are valid.

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