Nonperiodic intermittent control for pinning synchronization of directed dynamical networks with internal delay and hybrid coupling

Peipei Zhou, Yafei Shen and Shuiming Cai

Physica A: Statistical Mechanics and its Applications, 2019, vol. 531, issue C

Abstract: This paper considers the intermittent control problem for pinning synchronization of directed dynamical networks with internal delay and hybrid coupling. Each uncoupled node is governed by a delayed dynamical system, and hybrid coupling is composed of current-state coupling and distributed-delay coupling. Through adding some nonperiodic intermittent controllers to partial nodes of addressed dynamical networks, a general criterion is derived to ensure global exponential synchronization. Moreover, by using the matrix decomposition method, some low-dimensional synchronization criteria are obtained, based on which the lower bounds of the control gains and control rates can be estimated easily, and accordingly the intermittent pinning controllers can be designed conveniently. Finally, the validity of the proposed method is confirmed by a numerical example.

Keywords: Pinning synchronization; Nonperiodic intermittent control; Directed dynamical networks; Internal delay; Distributed-delay coupling (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:531:y:2019:i:c:s0378437119309951

DOI: 10.1016/j.physa.2019.121737

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