Improved Conditions for Absolute Stability of Lur'e Systems with Time-Delay

2013 ◽  
Author(s):  
Hongbing Zeng ◽  
Shenping Xiao ◽  
Bin Qin ◽  
Huiqin Xiao
Keyword(s):  
Time Delay ◽  
Absolute Stability ◽  
Lur’E Systems

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 Novel Delay-Decomposing Approaches to Absolute Stability Criteria for Neutral-Type Lur’e Systems

2019 ◽  
Vol 2019 ◽  
pp. 1-10
Author(s):  
Liang-Dong Guo ◽  
Sheng-Juan Huang ◽  
Li-Bing Wu
Keyword(s):  
Absolute Stability ◽  
Neutral Type ◽  
Linear Matrix ◽  
Time Varying ◽  
Matrix Inequalities ◽  
Stability Criteria ◽  
Lur’E Systems ◽  
Delay Dependent ◽  
Numerical Complexity ◽  
Variation Interval

The problem of absolute stability analysis for neutral-type Lur’e systems with time-varying delays is investigated. Novel delay-decomposing approaches are proposed to divide the variation interval of the delay into three unequal subintervals. Some new augment Lyapunov–Krasovskii functionals (LKFs) are defined on the obtained subintervals. The integral inequality method and the reciprocally convex technique are utilized to deal with the derivative of the LKFs. Several improved delay-dependent criteria are derived in terms of the linear matrix inequalities (LMIs). Compared with some previous criteria, the proposed ones give the results with less conservatism and lower numerical complexity. Two numerical examples are included to illustrate the effectiveness and the improvement of the proposed method.

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