Global Synchronization of Generalized Complex Networks with Mixed Coupling Delays

Yang Dai; Yunze Cai; Xiaoming Xu

Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1

Research Article

Global Synchronization of Generalized Complex Networks with Mixed Coupling Delays

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@INPROCEEDINGS{10.1007/978-3-642-02466-5_100,
    author={Yang Dai and Yunze Cai and Xiaoming Xu},
    title={Global Synchronization of Generalized Complex Networks with Mixed Coupling Delays},
    proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1},
    proceedings_a={COMPLEX PART 1},
    year={2012},
    month={5},
    keywords={Complex Networks Synchronization Retarded Delay Neutral Delay Linear Matrix Inequalities (LMI)},
    doi={10.1007/978-3-642-02466-5_100}
}

Yang Dai
Yunze Cai
Xiaoming Xu
Year: 2012
Global Synchronization of Generalized Complex Networks with Mixed Coupling Delays
COMPLEX PART 1
Springer
DOI: 10.1007/978-3-642-02466-5_100

Yang Dai¹^,*, Yunze Cai¹, Xiaoming Xu

1: Shanghai Jiao Tong University

*Contact email: daiyang1980@gmail.com

Abstract

In this paper we propose a generalized complex networks model, which concerns asymmetric network configuration including both neutral-type coupling delay and retarded-type one. The synchronization problem of this generalized complex networks is reformulated into the asymptotical stability problem of neutral delay functional differential equations. By introducing descriptor system transformation strategy, the less conservative sufficient condition of delay-independent and independent-of-delay global synchronization criteria are derived in terms of linear matrix inequalities. A numerical example is given to support the theoretical results.

Keywords: Complex Networks Synchronization Retarded Delay Neutral Delay Linear Matrix Inequalities (LMI)

Published: 2012-05-11

: http://dx.doi.org/10.1007/978-3-642-02466-5_100