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

Volume

54

Issue

4

fYear

2009

fDate

4/1/2009 12:00:00 AM

Firstpage

923

Lastpage

928

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;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2009.2013029

Filename

4806158