Impulsive control of chaotic systems and its applications in synchronization

doi:10.1088/1674-1056/20/5/050508

Abstract In this paper, some novel sufficient conditions for asymptotic stability of impulsive control systems are presented by comparison systems. The results are used to obtain the conditions under which the chaotic systems can be asymptotically controlled to the origin via impulsive control. Compared with some existing results, our results are more relaxed in the sense that the Lyapunov function is required to be nonincreasing only along a subsequence of switchings. Moreover, a larger upper bound of impulsive intervals for stabilization and synchronization is obtained.

Keywords: comparison systems impulsive control chaotic systems synchronization

Received: 04 August 2010
Revised: 10 January 2011
Accepted manuscript online:

PACS:	05.45.Gg	(Control of chaos, applications of chaos)
	05.45.Xt	(Synchronization; coupled oscillators)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10926066 and 11026182), the Natural Science Foundation of Zhejiang Province, China (Grant No. Y6100007), the Zhejiang Educational Committee, China (Grant No. Y200805720), the Natural Science Foundation of Jiangsu Province, China (Grant No. BK2010408), the Innovation Fund of Basic Scientific Research Operating Expenses, China (Grant No. 3207010501), and the Alexander von Humboldt Foundation of Germany.

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Wu Bo(吴波), Liu Yang(刘洋), and Lu Jian-Quan(卢剑权) Impulsive control of chaotic systems and its applications in synchronization 2011 Chin. Phys. B 20 050508

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