STABILITY AND CONTROLLABILITY OF ASYMMETRIC COMPLEX DYNAMICAL NETWORKS: EIGENVALUE ANALYSIS

Linying Xiang (), Zengqiang Chen, Zhongxin Liu, Fei Chen and Zhuzhi Yuan
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Linying Xiang: Department of Automation, Nankai University, Tianjin 300071, P. R. China
Zengqiang Chen: Department of Automation, Nankai University, Tianjin 300071, P. R. China
Zhongxin Liu: Department of Automation, Nankai University, Tianjin 300071, P. R. China
Fei Chen: Department of Automation, Nankai University, Tianjin 300071, P. R. China
Zhuzhi Yuan: Department of Automation, Nankai University, Tianjin 300071, P. R. China

International Journal of Modern Physics C (IJMPC), 2009, vol. 20, issue 02, 237-252

Abstract: The stability and controllability of asymmetric complex dynamical networks are investigated in detail based on eigenvalue analysis. Pinning control is suggested to stabilize the homogenous stationary state of the whole coupled network. The complicated coupled problem is reduced to two independent problems: clarifying the stable regions of the coupled network and specifying the eigenvalue distribution of the asymmetric coupling and control matrices. The dependence of the controllability on both pinning density and pinning strength is studied.

Keywords: Complex dynamical network; asymmetric network; pinning control; stability; controllability; eigenvalue analysis; 05.45.Pq; 05.45.-a; 89.75.-K (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0129183109013571

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