Topology identification and adaptive synchronization of uncertain complex networks with non-derivative and derivative coupling

This paper proposes an approach to identify the topological structure and unknown parameters for uncertain general complex networks with non-derivative and derivative coupling. By designing effective adaptive controller, the unknown network topological structure and system parameters of uncertain general complex dynamical networks are identified simultaneously in the process of synchronization. Several useful criteria for synchronization are given. Finally, numerical simulations are presented to verify the effectiveness of the theoretical results obtained in this paper.

[1]  Junan Lu,et al.  Pinning adaptive synchronization of a general complex dynamical network , 2008, Autom..

[2]  Jian-An Fang,et al.  Synchronization of N-coupled fractional-order chaotic systems with ring connection , 2010 .

[3]  Tianping Chen,et al.  Adaptive Synchronization of Coupled Chaotic Delayed Systems Based on Parameter Identification and its Applications , 2006, Int. J. Bifurc. Chaos.

[4]  Jinde Cao,et al.  Adaptive Q-S (lag, anticipated, and complete) time-varying synchronization and parameters identification of uncertain delayed neural networks. , 2006, Chaos.

[5]  C. K. Michael Tse,et al.  Adaptive Feedback Synchronization of a General Complex Dynamical Network With Delayed Nodes , 2008, IEEE Transactions on Circuits and Systems II: Express Briefs.

[6]  Jun-an Lu,et al.  Topology identification of weighted complex dynamical networks , 2007 .

[7]  Guanrong Chen,et al.  Synchronization and desynchronization of complex dynamical networks: an engineering viewpoint , 2003 .

[8]  Ljupco Kocarev,et al.  Synchronization in power-law networks. , 2005, Chaos.

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

[10]  Jin Zhou,et al.  Global synchronization in general complex delayed dynamical networks and its applications , 2007 .

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

[12]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[13]  S. Strogatz Exploring complex networks , 2001, Nature.

[14]  Jinhu Lu,et al.  A New Chaotic Attractor Coined , 2002, Int. J. Bifurc. Chaos.

[15]  Wuneng Zhou,et al.  Structure identification and adaptive synchronization of uncertain general complex dynamical networks , 2009 .

[16]  Junan Lu,et al.  Structure identification of uncertain general complex dynamical networks with time delay , 2009, Autom..

[17]  Gang Zhang,et al.  A new method to realize cluster synchronization in connected chaotic networks. , 2006, Chaos.

[18]  Liang Chen,et al.  Adaptive synchronization between two complex networks with nonidentical topological structures , 2008 .

[19]  Jinde Cao,et al.  Adaptive complete synchronization of two identical or different chaotic (hyperchaotic) systems with fully unknown parameters. , 2005, Chaos.

[20]  S. Wen,et al.  Adaptive global synchronization of a general complex dynamical network with non-delayed and delayed coupling , 2008 .

[21]  Runhe Qiu,et al.  Adaptive lag synchronization in unknown stochastic chaotic neural networks with discrete and distributed time-varying delays☆ , 2008 .

[22]  Junan Lu,et al.  Adaptive synchronization of an uncertain complex dynamical network , 2006, IEEE Transactions on Automatic Control.

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

[24]  Wuneng Zhou,et al.  On dynamics analysis of a new chaotic attractor , 2008 .

[25]  Xiaoqun Wu Synchronization-based topology identification of weighted general complex dynamical networks with time-varying coupling delay , 2008 .

[26]  V. Latora,et al.  Complex networks: Structure and dynamics , 2006 .

[27]  Guanrong Chen,et al.  Chaos synchronization of general complex dynamical networks , 2004 .

[28]  Xinchu Fu,et al.  Parameter identification of dynamical networks with community structure and multiple coupling delays , 2010 .

[29]  Wanli Guo,et al.  Topology identification of the complex networks with non-delayed and delayed coupling , 2009 .

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

[31]  Chongxin Liu,et al.  A new chaotic attractor , 2004 .

[32]  Debin Huang Adaptive-feedback control algorithm. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[33]  Ljupco Kocarev,et al.  Estimating topology of networks. , 2006, Physical review letters.