Stability analysis of switched delay systems with all unstable subsystems under the dwell time constraints

2015 ◽  
Author(s):  
Xi-Ming Sun ◽  
Qi Sun ◽  
Xin-Mei Li ◽  
Yue-E Wang
Keyword(s):  
Stability Analysis ◽  
Dwell Time ◽  
Delay Systems ◽  
Time Constraints ◽  
Unstable Subsystems

scholarly journals Stability Analysis of Fractional Switched Systems With Stable and Unstable Subsystems

2021 ◽  
Author(s):  
Ran Yang ◽  
Song Liu ◽  
Xiaoyan Li ◽  
Jian Xiao
Keyword(s):  
Stability Analysis ◽  
Asymptotic Stability ◽  
Switched Systems ◽  
Dwell Time ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Stability Conditions ◽  
Razumikhin Technique ◽  
Unstable Subsystems ◽  
Slow Switching

Abstract This article addresses stability of fractional switched systems (FSSs) with stable and unstable subsystems. First, several algebraic conditions are presented to guarantee asymptotic stability by applying multiple Lyapunov function (MLF) method, dwell time technique and fast-slow switching mechanism. Then, some stability conditions which have less conservation are also provided by utilizing average dwell time (ADT) technique and the property of Mittag-Leffler function. In addition, sufficient conditions on asymptotic stability of delayed FSSs are obtained by virtue of fractional Razumikhin technique. Finally, several examples are given to reveal that the conclusions obtained are valid.

scholarly journals Delay-Dependent Stability Analysis for Uncertain Switched Time-Delay Systems Using Average Dwell Time

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Yangming Zhang ◽  
Peng Yan
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Exponential Stability ◽  
Switched Systems ◽  
Dwell Time ◽  
Average Dwell Time ◽  
Delay System ◽  
Delay Systems ◽  
Linear Matrix ◽  
Delay Dependent

We are concerned with the stability problem for linear discrete-time switched systems with time delays. The problem is solved by using multiple Lyapunov functions to develop constructive tools for the exponential stability analysis of the switched time-delay system. Furthermore, the uncertainties of the switched systems are also taken into consideration. Sufficient delay-dependent conditions are derived in terms of the average dwell time for the exponential stability based on linear matrix inequalities (LMIs). Finally, numerical examples are provided to illustrate the effectiveness of the proposed method.

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