Adaptive Aperiodically Intermittent Synchronization for Complex Dynamical Network with Unknown Time-Varying Outer Coupling Strengths

In this paper, exponential synchronization problem of complex dynamical networks with unknown periodically coupling strengths was investigated. An aperiodically intermittent control synchronization strategy is proposed. Based on Lyapunov exponential stability theory, inequality techniques, and adaptive learning laws design, some sufficient exponential synchronization criteria for complex dynamical network with unknown periodical coupling weights are obtained. The numerical simulation example is presented to illustrate the feasibility of theoretical results.

[1]  Yanfeng Wang,et al.  Finite-time real combination synchronization of three complex-variable chaotic systems with unknown parameters via sliding mode control , 2017 .

[2]  Tianping Chen,et al.  Synchronization of Linearly Coupled Networks With Delays via Aperiodically Intermittent Pinning Control , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[3]  Ping He,et al.  Pinning control and adaptive control for synchronization of linearly coupled reaction‐diffusion neural networks with mixed delays , 2018 .

[4]  Xinsong Yang,et al.  Exponential synchronization of complex-valued complex networks with time-varying delays and stochastic perturbations via time-delayed impulsive control , 2017, Appl. Math. Comput..

[5]  Ahmed Alsaedi,et al.  Exponential synchronization for a class of complex networks of networks with directed topology and time delay , 2017, Neurocomputing.

[6]  Yonggang Zhu,et al.  Fast synchronization of complex dynamical networks with time-varying delay via periodically intermittent control , 2016, Neurocomputing.

[7]  Junmi Li,et al.  Stochastic synchronization for complex dynamical networks with time-varying couplings , 2015 .

[8]  Junmin Li,et al.  Adaptive Finite-Time Synchronization for Complex Dynamical Network with Different Dimensions of Nodes and Time-Varying Outer Coupling Structures , 2018 .

[9]  Yi Shen,et al.  Finite-time synchronization between two complex-variable chaotic systems with unknown parameters via nonsingular terminal sliding mode control , 2016, Nonlinear Dynamics.

[10]  Mei Liu,et al.  Synchronization of Complex Networks with Coupled and Self‐Feedback Delays Via Aperiodically Intermittent Strategy , 2017 .

[11]  Yuming Feng,et al.  Semiglobal finite‐time synchronization of complex networks with stochastic disturbance via intermittent control , 2019 .

[12]  M. Zochowski Intermittent dynamical control , 2000 .

[13]  Jian-an Wang,et al.  Synchronization of delayed complex dynamical network with hybrid-coupling via aperiodically intermittent pinning control , 2017, J. Frankl. Inst..

[14]  Tianping Chen,et al.  Synchronization of Complex Networks via Aperiodically Intermittent Pinning Control , 2015, IEEE Transactions on Automatic Control.

[15]  Xiaohong Wang,et al.  Finite-time synchronization of drive-response systems via periodically intermittent adaptive control , 2014, J. Frankl. Inst..

[16]  Li Yan,et al.  Event-triggered exponential synchronization of complex dynamical networks with cooperatively directed spanning tree topology , 2019, Neurocomputing.

[17]  Jinde Cao,et al.  Aperiodically intermittent control for synchronization of switched complex networks with unstable modes via matrix $$\varvec{\omega }$$ω-measure approach , 2018 .

[18]  Jigui Jian,et al.  Finite-time synchronization of complex delayed networks via intermittent control with multiple switched periods , 2016, Nonlinear Dynamics.

[19]  Lixiang Li,et al.  Finite-time synchronization of complex dynamical networks with multi-links via intermittent controls , 2016 .

[20]  Zhen Li,et al.  Finite-time synchronization of cyclic switched complex networks under feedback control , 2017, J. Frankl. Inst..

[21]  Rathinasamy Sakthivel,et al.  Finite-time synchronization of stochastic coupled neural networks subject to Markovian switching and input saturation , 2018, Neural Networks.

[22]  Haibo He,et al.  Semi-periodically intermittent control for synchronization of switched complex networks: a mode-dependent average dwell time approach , 2015, Nonlinear Dynamics.

[23]  Haijun Jiang,et al.  Finite-time synchronization of delayed dynamical networks via aperiodically intermittent control , 2017, J. Frankl. Inst..

[24]  Junmin Li,et al.  A new synchronization algorithm for delayed complex dynamical networks via adaptive control approach , 2012 .

[25]  Jun Mei,et al.  Periodically intermittent controlling for finite-time synchronization of complex dynamical networks , 2015 .

[26]  Rathinasamy Sakthivel,et al.  Disturbance and uncertainty rejection performance for fractional-order complex dynamical networks , 2019, Neural Networks.

[27]  Ali Ghaffari,et al.  Pinning control for synchronization of nonlinear complex dynamical network with suboptimal SDRE controllers , 2016 .

[28]  Thongchai Botmart,et al.  Exponential synchronization of complex dynamical network with mixed time-varying and hybrid coupling delays via intermittent control , 2014, Advances in Difference Equations.

[29]  Xiaohua Zhang,et al.  Finite-time lag synchronization of time-varying delayed complex networks via periodically intermittent control and sliding mode control , 2016, Neurocomputing.

[30]  Quanxin Zhu,et al.  Exponential Stability of Stochastic Differential Equations with Impulse Effects at Random Times , 2018, Asian Journal of Control.