Dwell time based stabilisability criteria for discrete-time switched systems

2017 ◽  
Vol 48 (14) ◽  
pp. 3087-3097 ◽  
Author(s):  
Zhikun She ◽  
Junjie Lu ◽  
Quanyi Liang ◽  
Shuzhi Sam Ge
Keyword(s):  
Discrete Time ◽  
Switched Systems ◽  
Dwell Time

Asynchronous control of discrete-time impulsive switched systems with mode-dependent average dwell time

2014 ◽  
Vol 53 (2) ◽  
pp. 367-372 ◽  
Author(s):  
Bo Wang ◽  
Hongbin Zhang ◽  
Gang Wang ◽  
Chuangyin Dang ◽  
Sijun Zhong
Keyword(s):  
Discrete Time ◽  
Switched Systems ◽  
Dwell Time ◽  
Average Dwell Time ◽  
Asynchronous Control ◽  
Impulsive Switched Systems

New stabilization results for discrete-time positive switched systems with forward mode-dependent average dwell time

2016 ◽  
Vol 39 (2) ◽  
pp. 224-229 ◽  
Author(s):  
Tingting Liu ◽  
Baowei Wu ◽  
Yue-E Wang ◽  
Lili Liu
Keyword(s):  
Discrete Time ◽  
Switched Systems ◽  
Dwell Time ◽  
Stability Result ◽  
Average Dwell Time ◽  
Feedback Controllers ◽  
Multiple Sample ◽  
The Stability ◽  
Positive Switched Systems ◽  
Time Linear

The stability and stabilization of discrete-time linear positive switched systems are discussed in this paper. First, based on the concept of the forward mode-dependent average dwell time, a stability result for discrete-time linear positive switched systems is obtained by utilizing the multiple linear copositive Lyapunov functions. Then, by introducing multiple-sample Lyapunov-like functions variation, a new exponential stability result is derived. Finally, the conditions for the existence of mode-dependent stabilizing state feedback controllers are investigated, and two illustrative examples are given to show the correctness of the theoretical results obtained.

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