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Modified Impulsive Synchronization of Fractional Order Hyperchaotic Chen Systems

Authors: Tiedong Ma; Weibo Jiang; Jie Fu;

Modified Impulsive Synchronization of Fractional Order Hyperchaotic Chen Systems

Abstract

In this paper, a modified impulsive control scheme is proposed to realize complete synchronization of fractional order hyperchaotic Chen systems. By constructing the suitable response system, the integral order synchronization error system is obtained. Based on the theory of Lyapunov stability and impulsive differential equations, some effective sufficient conditions are derived to guarantee the asymptotical stability of synchronization error system. In particular, some simpler and more convenient conditions are derived by taking the same impulsive distances and control gains. Comparing with the existing results, the main results in this paper are more practical and rigorous. Simulation results show the effectiveness and feasibility of the proposed impulsive control method.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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