Stabilization of switched systems with time-dependent switching signal

2020 ◽  
Vol 357 (18) ◽  
pp. 13552-13568
Author(s):  
Cui-Li Jin ◽  
Rui Wang ◽  
Qing-Guo Wang
Keyword(s):  
Switched Systems ◽  
Time Dependent ◽  
Switching Signal

Practical stability of switched systems without a common equilibria and governed by a time-dependent switching signal

2013 ◽  
Vol 19 (3) ◽  
pp. 206-213 ◽  
Author(s):  
Roman Kuiava ◽  
Rodrigo A. Ramos ◽  
Hemanshu R. Pota ◽  
Luis F.C. Alberto
Keyword(s):  
Switched Systems ◽  
Time Dependent ◽  
Practical Stability ◽  
Switching Signal

Robust Exponential Stability for Uncertain Discrete-Time Switched Systems with Interval Time-Varying Delay via a Switching Signal

2013 ◽  
Vol 479-480 ◽  
pp. 983-988
Author(s):  
Jenq Der Chen ◽  
Chang Hua Lien ◽  
Ker Wei Yu ◽  
Chin Tan Lee ◽  
Ruey Shin Chen ◽  
...  
Keyword(s):  
Exponential Stability ◽  
Discrete Time ◽  
Switched Systems ◽  
Time Varying ◽  
Signal Design ◽  
Robust Exponential Stability ◽  
Interval Time ◽  
Time Varying Delay ◽  
Switching Signal ◽  
Varying Delay

In this paper, the switching signal design to robust exponential stability for discrete-time switched systems with interval time-varying delay is considered. LMI-based conditions are proposed to guarantee the global exponential stability for such system with parametric perturbations by using a switching signal. The appropriate Lyapunov functionals are used to reduce the conservativeness of systems. Finally, a numerical example is illustrated to show the main results.

scholarly journals Stochastic Stability of Discrete-Time Switched Systems with a Random Switching Signal

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Kai Liu ◽  
Xiaowu Mu ◽  
Jumei Wei
Keyword(s):  
Discrete Time ◽  
Stochastic Stability ◽  
Switched Systems ◽  
Switching Time ◽  
Necessary And Sufficient Condition ◽  
Lyapunov Approach ◽  
Switching Signal ◽  
Random Switching ◽  
Necessary And Sufficient ◽  
Time Linear

Necessary and sufficient condition for stochastic stability of discrete-time linear switched system with a random switching signal is considered in this paper, assuming that the switching signal allows fixed dwell time before a Markov switch occurs. It is shown that the stochastic stability of the system is equivalent to that of an auxiliary system with state transformations at switching time, whose switching signal is a Markov chain. The stochastic stability is studied using a stochastic Lyapunov approach. The effectiveness of the proposed approach is demonstrated by a numerical example.

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