Projective synchronization via adaptive pinning control for fractional-order complex network with time-varying coupling strength

This paper presents an adaptive projective pinning control method for fractional-order complex network. First, based on theories of complex network and fractional calculus, some preliminaries of mathematics are given. Then, an analysis is conducted on the adaptive projective pinning control theory for fractional-order complex network. Based on the projective synchronization control method and the combined adaptive pinning feedback control method, suitable projection synchronization scale factor, adaptive feedback controller and the node selection algorithm are designed to illustrate the synchronization for fractional-order hyperchaotic complex network. Simulation results show that all nodes are stabilized to equilibrium point. Theoretical analysis and simulation results demonstrate that the designed adaptive projective pinning controllers are efficient.

[1]  Yanyan Wang,et al.  Adaptive feedback synchronization of fractional-order complex dynamic networks , 2017 .

[2]  Yan-Li Huang,et al.  Analysis and adaptive control for robust synchronization and H∞ synchronization of complex dynamical networks with multiple time-delays , 2018, Neurocomputing.

[3]  Wenwu Yu,et al.  On pinning synchronization of complex dynamical networks , 2009, Autom..

[4]  Meng Xu,et al.  Pinning synchronization of complex dynamical networks with and without time-varying delay , 2017, Neurocomputing.

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

[6]  Dan Wang,et al.  Adaptive Pinning Synchronization of Complex Networks with Negative Weights and Its Application in Traffic Road Network , 2018 .

[7]  Zhidong Teng,et al.  Pinning adaptive and impulsive synchronization of fractional-order complex dynamical networks , 2016 .

[8]  Shouming Zhong,et al.  Function projective synchronization of complex networks with asymmetric coupling via adaptive and pinning feedback control. , 2016, ISA transactions.

[9]  Min Han,et al.  Modified function projective synchronization between two different complex networks with delayed couplings and delayed nodes of different dimensions , 2016 .

[10]  Hong Zhu,et al.  Cluster synchronization of linearly coupled complex networks via linear and adaptive feedback pinning controls , 2017 .

[11]  Zhenyuan Xu,et al.  Function projective synchronization in drive–response dynamical network , 2010 .

[12]  Darui Zhu,et al.  Modeling and adaptive pinning synchronization control for a chaotic-motion motor in complex network , 2014 .

[13]  Isaac Klickstein,et al.  Locally Optimal Control of Complex Networks. , 2017, Physical review letters.

[14]  Huai-Ning Wu,et al.  Adaptive output synchronization of complex delayed dynamical networks with output coupling , 2014, Neurocomputing.

[15]  Manfeng Hu,et al.  Projective cluster synchronization of fractional-order coupled-delay complex network via adaptive pinning control , 2015 .

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

[17]  Mauricio Barahona,et al.  Synchronization in small-world systems. , 2002, Physical review letters.

[18]  Mohd Salmi Md Noorani,et al.  Adaptive projective lag synchronization of uncertain complex dynamical networks with disturbance , 2016, Neurocomputing.

[19]  Qu,et al.  Controlling spatiotemporal chaos in coupled map lattice systems. , 1994, Physical review letters.

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

[21]  Xin Wang,et al.  Synchronization of complex networks with non-delayed and delayed couplings via adaptive feedback and impulsive pinning control , 2016, Nonlinear Dynamics.

[22]  Guang-Hong Yang,et al.  Event-triggered output feedback synchronization control of complex dynamical networks , 2018, Neurocomputing.

[23]  Louis M. Pecora,et al.  Fundamentals of synchronization in chaotic systems, concepts, and applications. , 1997, Chaos.

[24]  Li Li,et al.  Finite-time hybrid projective synchronization of the drive-response complex networks with distributed-delay via adaptive intermittent control , 2018, Physica A: Statistical Mechanics and its Applications.