Pinning impulsive cluster synchronization of complex dynamical network

Lingfeng Liu, Kui Liu, Hongyue Xiang and Qian Liu

Physica A: Statistical Mechanics and its Applications, 2020, vol. 545, issue C

Abstract: Synchronization of complex dynamical network has been a hot topic for its practical applications. In this paper, the pinning impulsive cluster synchronization of complex dynamical network is investigated. Based on the theories of Lyapunov stability and impulsive differential equations, our pinning impulsive control strategy is proved to be correct and effective for realizing cluster synchronization once the sufficient condition given in the theorem is satisfied, and is also universal for different dynamical networks. Moreover, some numerical simulations are performed to show that our control strategy is quite effective and convenient.

Keywords: Cluster synchronization; Pinning control; Impulsive control; Complex dynamical network (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119319934

DOI: 10.1016/j.physa.2019.123580

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