Adaptive cluster general projective synchronization of complex dynamic networks in finite time

Abstract This paper investigates adaptive cluster general projective synchronization (CGPS) of complex dynamic networks in finite time. Based on the finite time synchronization control techniques and Lyapunov stability theorem, sufficient conditions are derived to guarantee the realization of adaptive cluster general projective synchronization. Finally, numerical simulation is provided to support the theoretical results.

[1]  Hongjie Li,et al.  Synchronization and state estimation for singular complex dynamical networks with time-varying delays , 2013, Commun. Nonlinear Sci. Numer. Simul..

[2]  Ruan Jiong,et al.  Finite-Time Generalized Outer Synchronization Between Two Different Complex Networks , 2012 .

[3]  Bin Wang,et al.  Finite-time synchronization control of complex dynamical networks with time delay , 2013, Commun. Nonlinear Sci. Numer. Simul..

[4]  Xinchu Fu,et al.  Cluster projective synchronization between community networks with nonidentical nodes , 2012 .

[5]  Ze Tang,et al.  Adaptive Cluster Synchronization for Nondelayed and Delayed Coupling Complex Networks with Nonidentical Nodes , 2013 .

[6]  Junwei Lu,et al.  Cluster synchronization for directed complex dynamical networks via pinning control , 2013, Neurocomputing.

[7]  Guoliang Cai,et al.  Global synchronization of weighted cellular neural network with time-varying coupling delays , 2012 .

[8]  Zhaoyan Wu,et al.  Pinning impulsive synchronization of complex-variable dynamical network , 2015, Commun. Nonlinear Sci. Numer. Simul..

[9]  Zhongjun Ma,et al.  Cluster synchronization induced by one-node clusters in networks with asymmetric negative couplings. , 2013, Chaos.

[10]  Song Zheng,et al.  Adaptive projective synchronization in complex networks with time-varying coupling delay , 2009 .

[11]  Zhaoyan Wu,et al.  Cluster synchronization in colored community network with different order node dynamics , 2014, Commun. Nonlinear Sci. Numer. Simul..

[12]  Mohammad Pourmahmood Aghababa,et al.  Chaos synchronization of gyroscopes using an adaptive robust finite-time controller , 2013 .

[13]  Lixin Tian,et al.  Cluster synchronization of overlapping uncertain complex networks with time-varying impulse disturbances , 2015 .

[14]  Jinde Cao,et al.  Exponential synchronization of the complex dynamical networks with a coupling delay and impulsive effects , 2010 .

[15]  Song Zheng Adaptive-impulsive projective synchronization of drive-response delayed complex dynamical networks with time-varying coupling , 2012 .

[16]  Ting Wang,et al.  Pinning Cluster Synchronization for Delayed Dynamical Networks via Kronecker Product , 2012, Circuits, Systems, and Signal Processing.

[17]  Xiao Fan Wang,et al.  Decentralized Adaptive Pinning Control for Cluster Synchronization of Complex Dynamical Networks , 2013, IEEE Transactions on Cybernetics.

[18]  Shuiming Cai,et al.  New results on synchronization of chaotic systems with time-varying delays via intermittent control , 2012 .

[19]  Zengrong Liu,et al.  Exponential synchronization of complex delayed dynamical networks via pinning periodically intermittent control , 2011 .

[20]  Wei Ding,et al.  Synchronization schemes of a class of fuzzy cellular neural networks based on adaptive control , 2010 .

[21]  Jinde Cao,et al.  Cluster synchronization in nonlinearly coupled delayed networks of non-identical dynamic systems , 2013 .