A hybrid impulsive and switching control strategy for synchronization of nonlinear systems and application to Chua's chaotic circuit

Zhi Hong Guan; David J. Hill; Jing Yao

doi:10.1142/S0218127406014769

A hybrid impulsive and switching control strategy for synchronization of nonlinear systems and application to Chua's chaotic circuit

Zhi Hong Guan^*, David J. Hill, Jing Yao

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

76 Citations (Scopus)

Abstract

In this paper, a new hybrid impulsive and switching control strategy for synchronization of nonlinear systems is developed. Using switched Lyapunov functions, several new criteria for global exponential stability of hybrid impulsive and switching nonlinear systems are established and, particularly, some simple sufficient conditions for driving the synchronization error to zero exponentially are proposed. As an application, Chua's chaotic circuit is investigated.

Original language	English
Pages (from-to)	229-238
Number of pages	10
Journal	International Journal of Bifurcation and Chaos
Volume	16
Issue number	1
DOIs	https://doi.org/10.1142/S0218127406014769
Publication status	Published - Jan 2006

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abstract = "In this paper, a new hybrid impulsive and switching control strategy for synchronization of nonlinear systems is developed. Using switched Lyapunov functions, several new criteria for global exponential stability of hybrid impulsive and switching nonlinear systems are established and, particularly, some simple sufficient conditions for driving the synchronization error to zero exponentially are proposed. As an application, Chua's chaotic circuit is investigated.",

keywords = "Chua's chaotic circuit, Global exponent synchronization, Hybrid systems, Impulsive control, Switched Lyapunov function, Switching systems",

author = "Guan, {Zhi Hong} and Hill, {David J.} and Jing Yao",

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AB - In this paper, a new hybrid impulsive and switching control strategy for synchronization of nonlinear systems is developed. Using switched Lyapunov functions, several new criteria for global exponential stability of hybrid impulsive and switching nonlinear systems are established and, particularly, some simple sufficient conditions for driving the synchronization error to zero exponentially are proposed. As an application, Chua's chaotic circuit is investigated.

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KW - Global exponent synchronization

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A hybrid impulsive and switching control strategy for synchronization of nonlinear systems and application to Chua's chaotic circuit

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