Pinning Two Nonlinearly Coupled Complex Networks with an Asymmetrical Coupling Matrix | Zendy

Jianwen Feng | Zendy; Ze Tang | Zendy; Jingyi Wang | Zendy; Yi Zhao | Zendy

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Pinning Two Nonlinearly Coupled Complex Networks with an Asymmetrical Coupling Matrix

Author(s) -

Jianwen Feng,

Ze Tang,

Jingyi Wang,

Yi Zhao

Publication year - 2013

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2013/959368

Subject(s) - synchronization (alternating current) , complex network , lyapunov stability , control theory (sociology) , coupling (piping) , synchronization networks , simple (philosophy) , topology (electrical circuits) , computer science , stability (learning theory) , matrix (chemical analysis) , control (management) , mathematics , artificial intelligence , engineering , materials science , composite material , mechanical engineering , philosophy , epistemology , combinatorics , machine learning , world wide web

This paper addresses the hybrid synchronization problem in two nonlinearly coupled complex networks with asymmetrical coupling matrices under pinning control schemes. The hybrid synchronization of two complex networks is the outer antisynchronization between the driving network and the response network while the inner complete synchronization in the driving network and the response network. We will show that only a small number of pinning feedback controllers acting on some nodes are effective for synchronization controlof the mentioned dynamical networks. Based on Lyapunov Stability Theory, some simple criteria for hybridsynchronization are derived for such dynamical networks by pinning control strategy. Numerical examplesare provided to illustrate the effectiveness of our theoretical results

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