Finite-time mixed outer synchronization of complex networks with time-varying delay and unknown parameters

Abstract In this paper, the finite-time mixed outer synchronization (FMOS) of chaotic neural networks with time-varying delay and unknown parameters is investigated. By adjusting control strengths with the updated laws, we achieve the finite-time mixed outer synchronization between two complex networks based on the finite-time stability theory and linear matrix inequality. Furthermore, the unknown parameters estimation of the networks is identified in a finite time. Finally, numerical simulations are given to demonstrate the effectiveness of the analytical results obtained here.

[1]  X. Shan,et al.  A linear feedback synchronization theorem for a class of chaotic systems , 2002 .

[2]  W. Zheng,et al.  Generalized outer synchronization between complex dynamical networks. , 2009, Chaos.

[3]  Ulrich Parlitz,et al.  Estimating parameters by autosynchronization with dynamics restrictions. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  P. Woafo,et al.  Adaptive synchronization of a modified and uncertain chaotic Van der Pol-Duffing oscillator based on parameter identification , 2005 .

[5]  Ping He,et al.  Finite-time mixed outer synchronization of complex networks with coupling time-varying delay. , 2012, Chaos.

[6]  PING HE,et al.  Synchronization of general complex networks via adaptive control schemes , 2014 .

[7]  Ping He,et al.  Robust adaptive synchronization of uncertain complex networks with multiple time-varying coupled delays , 2015, Complex..

[8]  Wei Zhang,et al.  Finite-time chaos synchronization of unified chaotic system with uncertain parameters , 2009 .

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

[10]  S. H. Mahboobi,et al.  Observer-based control design for three well-known chaotic systems , 2006 .

[11]  Tianping Chen,et al.  New approach to synchronization analysis of linearly coupled ordinary differential systems , 2006 .

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

[13]  S. K. Dana,et al.  Antisynchronization of Two Complex Dynamical Networks , 2009, Complex.

[14]  Huijun Gao,et al.  Analysis and synchronization of complex networks , 2009, Int. J. Syst. Sci..

[15]  I. Schwartz,et al.  Complete chaotic synchronization in mutually coupled time-delay systems. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  Yu Tang,et al.  Terminal sliding mode control for rigid robots , 1998, Autom..

[17]  Wei Xing Zheng,et al.  On pinning synchronisability of complex networks with arbitrary topological structure , 2011, Int. J. Syst. Sci..

[18]  M. P. Aghababa,et al.  Finite-time synchronization of two different chaotic systems with unknown parameters via sliding mode technique , 2011 .

[19]  Xuyang Lou,et al.  Synchronization of chaotic recurrent neural networks with time-varying delays using nonlinear feedback control , 2009 .

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

[21]  Tao Fan,et al.  Robust decentralized adaptive synchronization of general complex networks with coupling delayed and uncertainties , 2014, Complex..

[22]  P. Hardin,et al.  Circadian rhythms from multiple oscillators: lessons from diverse organisms , 2005, Nature Reviews Genetics.

[23]  Ping He,et al.  Robust exponential synchronization for neutral complex networks with discrete and distributed time‐varying delays: A descriptor model transformation method , 2014 .

[24]  Teh-Lu Liao,et al.  Adaptive synchronization of chaotic systems and its application to secure communications , 2000 .

[25]  Wei Xiang,et al.  An adaptive sliding mode control scheme for a class of chaotic systems with mismatched perturbations and input nonlinearities , 2011 .

[26]  Wei Lin,et al.  Failure of parameter identification based on adaptive synchronization techniques. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[28]  Xiao Fan Wang,et al.  Synchronization in Small-World Dynamical Networks , 2002, Int. J. Bifurc. Chaos.