Outer Synchronization between Complex Networks with Nonlinear Time-Delay Characteristics and Time-Varying Topological Structures

This paper exploits the network outer synchronization problem in a generic context for complex networks with nonlinear time-delay characteristics and nonidentical time-varying topological structures. Based on the classic Lyapunov stability theory, the synchronization criteria and adaptive control strategy are presented, respectively, by adopting an appropriate Lyapunov-Krasovskii energy function and the convergence of the system error can also be well proved. The existing results of network outer synchronization can be obtained by giving certain conditions, for example, treating the coupling matrices as time-invariant, and by applying the suggested generic synchronization criteria and control scheme. The numerical simulation experiments for networks scenarios with dynamic chaotic characteristics and time-varying topologies are carried out and the result verifies the correctness and effectiveness of the proposed control solution.

[1]  Hongtao Lu,et al.  Projective lag synchronization of the general complex dynamical networks with distinct nodes , 2012 .

[2]  Hongtao Lu,et al.  Hybrid synchronization of the general delayed and non-delayed complex dynamical networks via pinning control , 2012, Neurocomputing.

[3]  Hongtao Lu,et al.  Generalized function projective (lag, anticipated and complete) synchronization between two different complex networks with nonidentical nodes , 2012 .

[4]  Xinchu Fu,et al.  Outer synchronization between drive-response networks with nonidentical nodes and unknown parameters , 2012 .

[5]  Zhengquan Yang,et al.  Adaptive linear generalized synchronization between two nonidentical networks , 2012 .

[6]  Hongtao Lu,et al.  Outer synchronization of uncertain general complex delayed networks with adaptive coupling , 2012, Neurocomputing.

[7]  Bo Liu,et al.  Synchronization in Complex Networks With Stochastically Switching Coupling Structures , 2012, IEEE Transactions on Automatic Control.

[8]  Qunjiao Zhang,et al.  Projective and lag synchronization between general complex networks via impulsive control , 2012 .

[9]  Ju H. Park,et al.  Guaranteed cost synchronization of a complex dynamical network via dynamic feedback control , 2012, Appl. Math. Comput..

[10]  Zhanshan Wang,et al.  Stochastic synchronization in an array of neural networks with hybrid nonlinear coupling , 2011, Neurocomputing.

[11]  Mei Yu,et al.  Projective synchronization in drive-response dynamical networks , 2011, 2011 International Conference on Electrical and Control Engineering.

[12]  Minghui Jiang,et al.  Outer synchronization between two complex networks with identical and nonidentical topological structures , 2011, The Fourth International Workshop on Advanced Computational Intelligence.

[13]  Wanli Guo,et al.  Lag synchronization of complex networks via pinning control , 2011 .

[14]  Mohammad Saleh Tavazoei,et al.  Robust outer synchronization between two complex networks with fractional order dynamics. , 2011, Chaos.

[15]  Hui Feng,et al.  The effect of control strength on the synchronization in pinning control questions , 2011, Comput. Math. Appl..

[16]  Qinghua Ma,et al.  Mixed outer synchronization of coupled complex networks with time-varying coupling delay. , 2011, Chaos.

[17]  D. H. Ji,et al.  Synchronization of singular complex dynamical networks with time-varying delays , 2010, Appl. Math. Comput..

[18]  Guo-Ping Jiang,et al.  Synchronization Between Two Complex Dynamical Networks Using Scalar Signals Under Pinning Control , 2010, IEEE Transactions on Circuits and Systems I: Regular Papers.

[19]  Licheng Jiao,et al.  Projective synchronization with different scale factors in a driven–response complex network and its application in image encryption , 2010 .

[20]  Jinde Cao,et al.  Outer synchronization between two nonidentical networks with circumstance noise , 2010 .

[21]  Ju H. Park,et al.  Synchronization criterion for Lur'e type complex dynamical networks with time-varying delay , 2010 .

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

[23]  Lihong Huang,et al.  Synchronization analysis of delayed complex networks via adaptive time-varying coupling strengths , 2009 .

[24]  Mario di Bernardo,et al.  Novel decentralized adaptive strategies for the synchronization of complex networks , 2009, Autom..

[25]  Zhang Yi,et al.  Synchronization analysis of delayed complex networks with time-varying couplings , 2008 .

[26]  Manfeng Hu,et al.  Projective cluster synchronization in drive-response dynamical networks , 2008 .

[27]  Licheng Jiao,et al.  Robust adaptive global synchronization of complex dynamical networks by adjusting time-varying coupling strength , 2008 .

[28]  Jürgen Kurths,et al.  Synchronization between two coupled complex networks. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[29]  Zhenyuan Xu,et al.  Projective synchronization in drive-response dynamical networks , 2007 .

[30]  Hong-yong Yang,et al.  Chaos Synchronization of General Complex Dynamical Networks with Coupling Delays , 2006, 2006 6th World Congress on Intelligent Control and Automation.

[31]  Jürgen Kurths,et al.  Generalized synchronization between two different complex networks , 2012 .

[32]  Song Zheng,et al.  Adaptive synchronization of two nonlinearly coupled complex dynamical networks with delayed coupling , 2012 .

[33]  Guoliang Cai,et al.  Linear Generalized Synchronization between Two Complex Networks , 2011 .

[34]  孙文,et al.  Outer Synchronization of Complex Networks by Impulse , 2011 .