Eigenvalue Based Stability Analysis for Asymmetric Complex Dynamical Networks

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.

[1]  Guanrong Chen,et al.  Pinning control of scale-free dynamical networks , 2002 .

[2]  Guanrong Chen,et al.  YET ANOTHER CHAOTIC ATTRACTOR , 1999 .

[3]  Reka Albert,et al.  Mean-field theory for scale-free random networks , 1999 .

[4]  T. Raghavan,et al.  Nonnegative Matrices and Applications , 1997 .

[5]  B. Tadić Dynamics of directed graphs: the world-wide Web , 2000, cond-mat/0011442.

[6]  M. Newman,et al.  Random graphs with arbitrary degree distributions and their applications. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  陈飞,et al.  A realistic model for complex networks with local interaction,self-organization and order , 2007 .

[8]  Guanrong Chen,et al.  Pinning a complex dynamical network to its equilibrium , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.

[9]  Zhuzhi Yuan,et al.  Finding and evaluating the hierarchical structure in complex networks , 2007 .

[10]  A. Barabasi,et al.  Percolation in directed scale-free networks. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  李晨,et al.  Influence of tube voltage and current on in-line phase contrast imaging using a microfocus x-ray source , 2007 .

[12]  Mark E. J. Newman,et al.  The Structure and Function of Complex Networks , 2003, SIAM Rev..

[13]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[14]  Xiao Fan Wang,et al.  Synchronization in scale-free dynamical networks: robustness and fragility , 2001, cond-mat/0105014.

[15]  Albert-László Barabási,et al.  Statistical mechanics of complex networks , 2001, ArXiv.

[16]  Andrei Z. Broder,et al.  Graph structure in the Web , 2000, Comput. Networks.

[17]  E. Lorenz Deterministic nonperiodic flow , 1963 .