Modified Projective Outer Synchronization between Two Fractional Order Complex Networks via Adaptive Control | Zendy

Hong-juan Liu | Zendy; Guoqi Liu | Zendy; Hai Yu | Zendy; Zhiliang Zhu | Zendy

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Modified Projective Outer Synchronization between Two Fractional Order Complex Networks via Adaptive Control

Author(s) -

Hong-juan Liu,

Guoqi Liu,

Hai Yu,

Zhiliang Zhu

Publication year - 2014

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 - 10.1155/2014/580378

Subject(s) - synchronization (alternating current) , topology (electrical circuits) , complex network , nonlinear system , matrix (chemical analysis) , coupling (piping) , order (exchange) , mathematics , control theory (sociology) , stability (learning theory) , node (physics) , computer science , control (management) , physics , combinatorics , mechanical engineering , materials science , finance , quantum mechanics , artificial intelligence , machine learning , engineering , economics , composite material

The modified projective outer synchronization between two different fractional order complex dynamical networks with different node dynamics and different topological structures is investigated in this paper. Based on the stability theorem of fractional order systems, the adaptive controllers and sufficient criteria for achieving the synchronization are given by applying the nonlinear control. The proposed method is also applicable to modified projective outer synchronization between two fractional order complex networks with identical topological structures. In addition, there are fewer restrictions on the coupling configuration matrix and inner-coupling matrix. The corresponding numerical results coincide with theoretical analysis, which also show that feedback strength and fractional order can effectively affect the synchronization performance

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