Exponential Synchronization of General Complex Delayed Dynamical Networks via Adaptive Feedback Control

Haifeng Zhang; Binghong Wang

Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009, Revised Papers, Part 2

Research Article

Exponential Synchronization of General Complex Delayed Dynamical Networks via Adaptive Feedback Control

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@INPROCEEDINGS{10.1007/978-3-642-02469-6_34,
    author={Haifeng Zhang and Binghong Wang},
    title={Exponential Synchronization of General Complex Delayed Dynamical Networks via Adaptive Feedback Control},
    proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009, Revised Papers, Part 2},
    proceedings_a={COMPLEX PART 2},
    year={2012},
    month={5},
    keywords={complex dynamical networks exponential synchronization adaptive feedback control hybrid coupling lyapunov function},
    doi={10.1007/978-3-642-02469-6_34}
}

Haifeng Zhang
Binghong Wang
Year: 2012
Exponential Synchronization of General Complex Delayed Dynamical Networks via Adaptive Feedback Control
COMPLEX PART 2
Springer
DOI: 10.1007/978-3-642-02469-6_34

Haifeng Zhang¹^,*, Binghong Wang²^,*

1: University of Science and Technology of China
2: Anhui University

*Contact email: haifeng3@mail.ustc.edu.cn, bhwang@ustc.edu.cn

Abstract

This paper studies the problem of controlling complex delayed dynamical networks by applying adaptive linear feedback controllers to each node. By using Lyapunov functional method, we give the criteria of globally exponential synchronization of the controlled complex delayed dynamical networks. The obtained criteria are suitable to the network with general properties, such as, with hybrid coupling, with different time delays, with asymmetric coupling configuration matrices, and so on. It is useful for future practical engineering design for its universality. Some simulations are given to verify the effectiveness of our scheme.

Keywords: complex dynamical networks exponential synchronization adaptive feedback control hybrid coupling lyapunov function

Published: 2012-05-11

: http://dx.doi.org/10.1007/978-3-642-02469-6_34