Pinning impulsive stabilization of nonlinear dynamical networks with time-varying delay

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Article number1250176
Journal / PublicationInternational Journal of Bifurcation and Chaos
Volume22
Issue number7
Publication statusPublished - Jul 2012

Abstract

In this paper, a new impulsive control strategy, namely pinning impulsive control, is proposed for the stabilization problem of nonlinear dynamical networks with time-varying delay. In this strategy, only a small fraction of nodes is impulsively controlled to globally exponentially stabilize the whole dynamical network. By employing the Lyapunov method combined with the mathematical analysis approach as well as the comparison principle for impulsive systems, some criteria are obtained to guarantee the success of the global exponential stabilization process. The obtained criteria are closely related to the proportion of the controlled nodes, the impulsive strength, the impulsive interval and the time-delay. Numerical examples are given to demonstrate the effectiveness of the designed pinning impulsive controllers. © 2012 World Scientific Publishing Company.

Research Area(s)

  • complex networks, global exponential synchronization, Pinning impulsive control, time-varying delay

Citation Format(s)

Pinning impulsive stabilization of nonlinear dynamical networks with time-varying delay. / Lu, Jianquan; Wang, Zidong; Cao, Jinde et al.
In: International Journal of Bifurcation and Chaos, Vol. 22, No. 7, 1250176, 07.2012.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review