Delay-dependent robust stability for uncertain linear systems with interval time-varying delay

Automatica ◽  
2006 ◽  
Vol 42 (6) ◽  
pp. 1059-1065 ◽  
Author(s):  
Xiefu Jiang ◽  
Qing-Long Han
Keyword(s):  
Linear Systems ◽  
Robust Stability ◽  
Time Varying ◽  
Interval Time ◽  
Time Varying Delay ◽  
Delay Dependent ◽  
Uncertain Linear Systems ◽  
Varying Delay

A New Approach on Stability for Linear Systems with Interval Time-Varying Delay

2013 ◽  
Vol 380-384 ◽  
pp. 1774-1777
Author(s):  
He Li ◽  
Zhao Di Xu ◽  
Chang Liu
Keyword(s):  
Linear Systems ◽  
Lyapunov Stability Theory ◽  
Time Varying ◽  
Decomposition Approach ◽  
Interval Time ◽  
Time Varying Delay ◽  
Delay Decomposition Approach ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
Varying Delay

This paper addresses the problem of stability for linear systems with interval time-varying delay. By using an optimized delay-decomposition approach and being based on Lyapunov stability theory and reciprocally convex lemma, we can get the delay-dependent stability criterion which can lead to much less conservative stability results compared to other methods for linear systems with time delay. A numerical example is given to show the effectiveness of the proposed criteria.

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