scholarly journals Robust Stability of Time-Varying Delay Systems: The Quadratic Separation Approach

2012 ◽  
Vol 14 (5) ◽  
pp. 1205-1214 ◽  
Author(s):  
Yassine Ariba ◽  
Frédéric Gouaisbaut ◽  
Karl Henrik Johansson
Keyword(s):  
Robust Stability ◽  
Delay Systems ◽  
Time Varying ◽  
Time Varying Delay ◽  
Varying Delay

scholarly journals Global Uniform Asymptotic Stability Criteria for Linear Uncertain Switched Positive Time-Varying Delay Systems with All Unstable Subsystems

Mathematics ◽  
2020 ◽  
Vol 8 (12) ◽  
pp. 2118
Author(s):  
Thaned Rojsiraphisal ◽  
Piyapong Niamsup ◽  
Suriyon Yimnet
Keyword(s):  
Asymptotic Stability ◽  
Robust Stability ◽  
Sufficient Conditions ◽  
Delay Systems ◽  
Time Varying ◽  
Uniform Asymptotic Stability ◽  
Time Varying Delay ◽  
Unstable Subsystems ◽  
Positive Time ◽  
Varying Delay

In this paper, the problem of robust stability for a class of linear switched positive time-varying delay systems with all unstable subsystems and interval uncertainties is investigated. By establishing suitable time-scheduled multiple copositive Lyapunov-Krasovskii functionals (MCLKF) and adopting a mode-dependent dwell time (MDDT) switching strategy, new delay-dependent sufficient conditions guaranteeing global uniform asymptotic stability of the considered systems are formulated. Apart from past studies that studied switched systems with at least one stable subsystem, in the present study, the MDDT switching technique has been applied to ensure robust stability of the considered systems with all unstable subsystems. Compared with the existing results, our results are more general and less conservative than some of the previous studies. Two numerical examples are provided to illustrate the effectiveness of the proposed methods.

Delay-dependent criteria for robust stability of time-varying delay systems

Automatica ◽  
2004 ◽  
Vol 40 (8) ◽  
pp. 1435-1439 ◽  
Author(s):  
Min Wu ◽  
Yong He ◽  
Jin-Hua She ◽  
Guo-Ping Liu
Keyword(s):  
Robust Stability ◽  
Delay Systems ◽  
Time Varying ◽  
Time Varying Delay ◽  
Delay Dependent ◽  
Varying Delay
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