Robust exponential stability for switched systems with interval time-varying delay

2020 ◽  
Author(s):  
Liu Yuzhong ◽  
Yin Yujuan
Keyword(s):  
Exponential Stability ◽  
Switched Systems ◽  
Time Varying ◽  
Robust Exponential Stability ◽  
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.

Robust Exponential Stability for Uncertain Neutral Systems with Interval Time-Varying Delay and Nonlinear Perturbations

2013 ◽  
Vol 284-287 ◽  
pp. 2305-2309
Author(s):  
Jenq Der Chen ◽  
Ruey Shin Chen ◽  
Chin Tan Lee ◽  
Chien Lu
Keyword(s):  
Exponential Stability ◽  
Stability Problem ◽  
Time Varying ◽  
Nonlinear Perturbations ◽  
Neutral Systems ◽  
Robust Exponential Stability ◽  
Interval Time ◽  
Time Varying Delay ◽  
Delay Dependent ◽  
Varying Delay

In this paper, the robust exponential stability problem is investigated for a class of neutral systems with interval time-varying delay and nonlinear perturbations. Based on the Lyapunov-Krasovskii functionals in conjunction with Leibniz-Newton formula, novel LMI-based delay-dependent and delay-independent criteria are proposed to guarantee the robust exponential stability with a convergence rate for our considered systems. Finally, numerical examples are illustrated to show the improved results from using the proposed method.

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