Eigenvalue Based Stability Analysis for Asymmetric Complex Dynamical Networks

Zengqiang Chen; Linying Xiang; Zhongxin Liu; Zhuzhi Yuan; Kai Chang

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

Research Article

Eigenvalue Based Stability Analysis for Asymmetric Complex Dynamical Networks

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@INPROCEEDINGS{10.1007/978-3-642-02469-6_91,
    author={Zengqiang Chen and Linying Xiang and Zhongxin Liu and Zhuzhi Yuan and Kai Chang},
    title={Eigenvalue Based Stability Analysis for Asymmetric Complex Dynamical Networks},
    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 network asymmetric network pinning control stability eigenvalue analysis},
    doi={10.1007/978-3-642-02469-6_91}
}

Zengqiang Chen
Linying Xiang
Zhongxin Liu
Zhuzhi Yuan
Kai Chang
Year: 2012
Eigenvalue Based Stability Analysis for Asymmetric Complex Dynamical Networks
COMPLEX PART 2
Springer
DOI: 10.1007/978-3-642-02469-6_91

Zengqiang Chen¹^,*, Linying Xiang¹^,*, Zhongxin Liu¹^,*, Zhuzhi Yuan¹^,*, Kai Chang²

1: Nankai University
2: Beijing Institute of Technology

*Contact email: Zengqiangchen@gmail.com, xlyzhjl1980@gmail.com, lzhx@nankai.edu.cn, Yuanzhzh@nankai.edu.cn

Abstract

The problem of stabilization in complex networks with asymmetric couplings forced by pinning control is studied. By using eigenvalue analysis, controllable regions for different types of coupling links are obtained. Some relevant factors on controllability such as pinning fraction and pinning strength are also investigated.

Keywords: Complex network asymmetric network pinning control stability eigenvalue analysis

Published: 2012-05-11

: http://dx.doi.org/10.1007/978-3-642-02469-6_91