An M-matrix approach to delay-dependent robust stability of uncertain linear delay systems

2005 ◽  
Author(s):  
Bin Liu ◽  
Xin-zhi Liu ◽  
Xiao-xin Liao
Keyword(s):  
Robust Stability ◽  
Delay Systems ◽  
Matrix Approach ◽  
Linear Delay ◽  
Delay Dependent

Robust Stability of Uncertain Switched Delay Systems with Nonlinear Perturbations

2011 ◽  
Vol 228-229 ◽  
pp. 782-788
Author(s):  
Chang Cheng Xiang ◽  
Xiu Liu ◽  
Xiu Yong Ding
Keyword(s):  
Robust Stability ◽  
Delay Differential Equations ◽  
Stability Problem ◽  
Delay Systems ◽  
Nonlinear Perturbations ◽  
Linear Delay ◽  
The Stability ◽  
Delay Differential ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper focuses on the stability problem of a class of uncertain switched delay systems with nonlinear perturbations. Applying multiple functional technique, we establish a delay dependent stability condition via designing appropriate switching rule. It should emphasize that this result is a standard extension of linear delay differential equations. Meanwhile, this result is presented by LMIs and thus solved easily.

DELAY-DEPENDENT SYNCHRONIZATION CRITERION FOR LUR'E SYSTEMS WITH DELAY FEEDBACK CONTROL

2006 ◽  
Vol 16 (10) ◽  
pp. 3087-3091 ◽  
Author(s):  
YONG HE ◽  
GUILIN WEN ◽  
QING-GUO WANG
Keyword(s):  
Time Delay ◽  
Delay Systems ◽  
Matrix Approach ◽  
Time Delay Systems ◽  
Stability Studies ◽  
Lur’E Systems ◽  
Weighting Matrix ◽  
Delay Feedback Control ◽  
Delay Dependent ◽  
Synchronization Scheme

A master-slave synchronization scheme for Lur'e systems is studied for a known delay existing between master and slave systems. Based on the latest development of stability studies for time-delay systems, a new delay-dependent synchronization criterion is derived by the free-weighting matrix approach. The criterion shown by example is less conservative than the existing synchronization criteria.

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