Cluster Synchronization in Delayed Networks With Adaptive Coupling Strength via Pinning Control

Jianbao Zhang; Jianbao Zhang; Zhongjun Ma; Xiaomei Li; Jianlong Qiu

doi:10.3389/fphy.2020.00235

Frontiers in Physics (Jul 2020)

Cluster Synchronization in Delayed Networks With Adaptive Coupling Strength via Pinning Control

Jianbao Zhang,
Jianbao Zhang,
Zhongjun Ma,
Xiaomei Li,
Jianlong Qiu

Affiliations

Jianbao Zhang: School of Automation, Southeast University, Nanjing, China
Jianbao Zhang: School of Information Science and Engineering, Linyi University, Linyi, China
Zhongjun Ma: School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China
Xiaomei Li: School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China
Jianlong Qiu: School of Information Science and Engineering, Linyi University, Linyi, China

DOI: https://doi.org/10.3389/fphy.2020.00235
Journal volume & issue: Vol. 8

Abstract

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Many previous studies have indicated that pinning control and adaptive feedback control are two of most effective strategies for achieving synchronization. In this paper, we present a mixed method integrating the two control strategies to realize cluster synchronization in delayed networks with directed couplings. Based on Lyapunov stability theory and matrix theory, several criteria on cluster synchronization are obtained. Compared with the previous results on cluster synchronization, the obtained criteria can be applied to delayed network with non-identical nodes, directed couplings, and time-varying coupling strength. Finally, numerical simulations are performed to verify the theoretical results.

Published in Frontiers in Physics

ISSN: 2296-424X (Online)
Publisher: Frontiers Media S.A.
Country of publisher: Switzerland
LCC subjects: Science: Physics
Website: https://www.frontiersin.org/journals/physics

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