Exponential cluster synchronization in directed community networks via adaptive nonperiodically intermittent pinning control

Peipei Zhou, Shuiming Cai, Shengqin Jiang and Zengrong Liu

Physica A: Statistical Mechanics and its Applications, 2018, vol. 492, issue C, 1267-1280

Abstract: In this paper, the problem of exponential cluster synchronization for a class of directed community networks is investigated via adaptive nonperiodically intermittent pinning control. By constructing a novel piecewise continuous Lyapunov function, some sufficient conditions to guarantee globally exponential cluster synchronization are derived. It is noted that the derived cluster synchronization criteria rely on the control rates, but not the control widths or the control periods, which facilitates the choice of the control periods in practical applications. A numerical example is finally presented to show the effectiveness of the obtained theoretical results.

Keywords: Directed community network; Exponential cluster synchronization; Adaptive intermittent control; Nonperiodical; Pinning strategy (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (13)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:492:y:2018:i:c:p:1267-1280

DOI: 10.1016/j.physa.2017.11.054

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