Synchronization between Two Discrete-Time Networks with Mutual Couplings | Zendy

Meng Xiao | Zendy; Weigang Sun | Zendy; Fangyue Chen | Zendy

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Synchronization between Two Discrete-Time Networks with Mutual Couplings

Author(s) -

Meng Xiao,

Weigang Sun,

Fangyue Chen

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/167198

Subject(s) - synchronization (alternating current) , synchronization networks , topology (electrical circuits) , mathematics , coupling (piping) , complex network , node (physics) , control theory (sociology) , computer science , physics , combinatorics , artificial intelligence , engineering , mechanical engineering , control (management) , quantum mechanics

We investigate synchronization between two discrete-time networks with mutualcouplings, including inner synchronization inside each network and outer synchronization between two networks. We then obtain a synchronized criterion for the inner synchronization inside each network by themethod of linear matrix inequality and derive a relationship between the inner and outer synchronization. Finally, we show numerical examples to verify our theoretical analysis and discuss the effect of couplingstrengths, node dynamics, and topological structures on the inner and outer synchronization. Compared tothe inner synchronization inside each network, the outer synchronization between two networks is difficult toachieve

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