Critical frequencies and parameters for linear delay systems: A Lyapunov matrix approach

2013 ◽  
Vol 62 (9) ◽  
pp. 781-790 ◽  
Author(s):  
Gilberto Ochoa ◽  
Vladimir L. Kharitonov ◽  
Sabine Mondié
Keyword(s):  
Delay Systems ◽  
Matrix Approach ◽  
Linear Delay ◽  
Lyapunov Matrix

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.

scholarly journals On the Notion of Duality for Linear Delay Systems

1998 ◽  
Vol 31 (19) ◽  
pp. 25-30
Author(s):  
H. Mounier ◽  
J. Rudolph
Keyword(s):  
Delay Systems ◽  
Linear Delay
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