The Improved Method of Delay-Dependent Stability Criterion for Uncertain Systems with Multiple Time-Varying Delays

2014 ◽  
Vol 651-653 ◽  
pp. 2398-2401
Author(s):  
Hong Su ◽  
Zhao Di Xu ◽  
Ting Ting Wang
Keyword(s):  
Uncertain Systems ◽  
Uncertain System ◽  
Multiple Time ◽  
Time Varying ◽  
Improved Method ◽  
Numerical Examples ◽  
Delay Dependent ◽  
New Criterion ◽  
Delay Dependent Stability ◽  
Novel Design

This paper discusses problems of linear uncertain system with multiple time-varying delays. Through the application of a novel design by own lemma and augmented Lyapunov function, a less conservative results than the existing essay that have been obtained. The new criterion enlarges the existing maximum bound of the time delay. Numerical examples were given to demonstrate the effective of the result.

scholarly journals A New Stability Criterion for Systems with Distributed Time-Varying Delays via Mixed Inequalities Method

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-6
Author(s):  
Jun-kang Tian ◽  
Yan-min Liu
Keyword(s):  
Linear Matrix Inequalities ◽  
Stability Criterion ◽  
Linear Matrix ◽  
Time Varying ◽  
Matrix Inequalities ◽  
Numerical Examples ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
New Inequalities

This paper is concerned with the delay-dependent stability of systems with distributed time-varying delays. The novelty relies on the use of some new inequalities which are less conservative than some existing inequalities. A less conservative stability criterion is obtained by constructing some new augmented Lyapunov–Krasovskii functionals, which are given in terms of linear matrix inequalities. The effectiveness of the presented criterion is demonstrated by two numerical examples.

On Delay-Dependent Stability and Decay Estimate for Uncertain Systems with Time-Varying Delay

Automatica ◽  
1998 ◽  
Vol 34 (8) ◽  
pp. 1035-1039 ◽  
Author(s):  
Yongru Gu ◽  
Shouchen Wang ◽  
Qiqiang Li ◽  
Zhengqun Cheng ◽  
Jixin Qian
Keyword(s):  
Uncertain Systems ◽  
Decay Estimate ◽  
Time Varying ◽  
Time Varying Delay ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
Varying Delay
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