Outer Synchronization of Drive-Response Complex-Valued Complex Networks via Intermittent Pinning Control | Zendy

Xuefei Wu | Zendy; Jianwen Feng | Zendy; Zhe Nie | Zendy

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Outer Synchronization of Drive-Response Complex-Valued Complex Networks via Intermittent Pinning Control

Author(s) -

Xuefei Wu,

Jianwen Feng,

Zhe Nie

Publication year - 2021

Publication title -

complexity

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.447

H-Index - 61

eISSN - 1099-0526

pISSN - 1076-2787

DOI - 10.1155/2021/6649519

Subject(s) - synchronization (alternating current) , control theory (sociology) , complex network , exponential function , computer science , exponential growth , complex system , intermittent control , lyapunov function , topology (electrical circuits) , control (management) , mathematics , control engineering , physics , mathematical analysis , nonlinear system , engineering , artificial intelligence , combinatorics , quantum mechanics , world wide web

This paper is concerned with the outer exponential synchronization of the drive-response complex dynamical networks subject to time-varying delays. The dynamics of nodes is complex valued, the interactions among of the nodes are directed, and the two coupling matrices in the drive system and the response system are also different. The intermittent pinning control is proposed to achieve outer exponential synchronization in the aperiodical way. Some novel sufficient conditions are derived to guarantee outer exponential synchronization of the considered complex-valued complex networks by using the Lyapunov functional method. Finally, two numerical examples are presented to illustrate the effectiveness of the proposed control protocols.

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