Title :
Analyzing the Robustness of Impulsive Synchronization Coupled by Linear Delayed Impulses
Author :
Khadra, Anmar ; Liu, Xinzhi Z. ; Xuemin Shen
Author_Institution :
Humboldt Univ. of Berlin, Berlin
fDate :
4/1/2009 12:00:00 AM
Abstract :
In this technical note, a class of autonomous impulsive differential systems with linear delayed impulses is considered. Sufficient conditions required for this particular class of systems with varying and constant impulse durations to be equi-attractive in the large are obtained. These conditions are then applied to impulsively synchronize two coupled chaotic systems by using delayed impulses and a robustness analysis of the model is also provided. Simulation results are given to demonstrate the analytical results.
Keywords :
chaos; delays; stability; synchronisation; autonomous impulsive differential systems; chaotic systems; constant impulse durations; impulsive synchronization; linear delayed impulses; robustness analysis; Adaptive control; Chaotic communication; Communication system security; Competitive intelligence; Computational intelligence; Control systems; Coupled mode analysis; Cryptography; Delay lines; Delay systems; Drives; Mechatronics; Nonlinear control systems; Nonlinear systems; Robustness; Stability; Sufficient conditions; Delay; equi-attractivity; impulsive synchronization;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2009.2013029