Robust stability and H ∞ control for nonlinear discrete‐time switched systems with interval time‐varying delay

2019 ◽  
Vol 42 (6) ◽  
pp. 1999-2015 ◽  
Author(s):  
Yali Dong ◽  
Shuang Liang ◽  
Huiming Wang
Keyword(s):  
Robust Stability ◽  
Discrete Time ◽  
Switched Systems ◽  
Time Varying ◽  
Interval Time ◽  
Time Varying Delay ◽  
Varying Delay

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.

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