Impulsive Control for the Synchronization of Chaotic Systems with Time Delay | Zendy

Ming Han | Zendy; Yang Liu | Zendy; Jianquan Lu | Zendy

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Impulsive Control for the Synchronization of Chaotic Systems with Time Delay

Author(s) -

Ming Han,

Yang Liu,

Jianquan Lu

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/647561

Subject(s) - synchronization (alternating current) , mathematics , control theory (sociology) , upper and lower bounds , chaotic systems , synchronization of chaos , chaotic , convergence (economics) , lyapunov function , control (management) , computer science , topology (electrical circuits) , mathematical analysis , nonlinear system , artificial intelligence , physics , combinatorics , quantum mechanics , economics , economic growth

This paper considers impulsive control for the synchronization of chaotic systems with time delays. Based on the Lyapunov functions and the Razumikhin technique, some new synchronization criteria with an exponential convergence rate are derived. Our results show that impulses do contribute to globally exponential synchronization of dynamical systems. Besides, the impulsive moments are independent of the upper bound of time delays. Furthermore, a bigger upper bound of impulsive intervals for the synchronization of chaotic systems can be obtained when compared with many previous studies. Hence, our results are less conservative and more effective for the synchronization analysis. A numerical example is given to show the validity and potential of the developed results

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