Exponential synchronization of complex delayed dynamical networks via pinning periodically intermittent control

The problem of synchronization for a class of complex delayed dynamical networks via pinning periodically intermittent control is considered in this Letter. Some novel and useful exponential synchronization criteria are obtained by utilizing the methods which are different from the techniques employ...

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Veröffentlicht in:Physics letters. A 2011-05, Vol.375 (19), p.1965-1971
Hauptverfasser: Cai, Shuiming, Hao, Junjun, He, Qinbin, Liu, Zengrong
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Sprache:eng
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Zusammenfassung:The problem of synchronization for a class of complex delayed dynamical networks via pinning periodically intermittent control is considered in this Letter. Some novel and useful exponential synchronization criteria are obtained by utilizing the methods which are different from the techniques employed in the existing works, and the derived results are less conservative. Especially, the traditional assumptions on control width and time delays are released in our results. Moreover, a pinning scheme deciding what nodes should be chosen as pinned candidates and how many nodes are needed to be pinned for a fixed coupling strength is provided. A Barabási–Albert network example is finally given to illustrate the effectiveness of the theoretical results. ► Pinning control problem of complex networks via intermittent control is investigated. ► The traditional assumptions on control width and time delays are removed. ► A scheme deciding what nodes should be chosen as pinned candidates is proposed. ► A scheme deciding how many nodes are needed to be pinned is provided.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2011.03.052