Stability and stabilization of continuous‐time switched systems: A multiple discontinuous convex Lyapunov function approach

2018 ◽  
Vol 29 (5) ◽  
pp. 1499-1514 ◽  
Author(s):  
Ruihua Wang ◽  
Linlin Hou ◽  
Guangdeng Zong ◽  
Shumin Fei ◽  
Dong Yang
Keyword(s):  
Lyapunov Function ◽  
Continuous Time ◽  
Switched Systems ◽  
Function Approach ◽  
Stability And Stabilization

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.

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