Pinning synchronization of complex delayed dynamical networks via generalized intermittent adaptive control strategy

In this paper, the problem of pinning synchronization for delayed complex directed networks via generalized intermittent adaptive control strategy is considered. First, a dynamical mode of delayed network is investigated. Second, a generalized intermittent adaptive control strategy which unified the traditional periodic intermittent control and the aperiodic case is introduced. Additionally, by constructing a piecewise Lyapunov auxiliary function and making use of piecewise analysis technique, some effective and novel criteria to ensure the global synchronization of delayed complex networks based on the designed control protocols are obtained. Finally, an example with numerical simulations is provided to demonstrate the validness of the theoretical results proposed scheme.

[1]  Ya-Jun Pan,et al.  Input-Based Event-Triggering Consensus of Multiagent Systems Under Denial-of-Service Attacks , 2020, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[2]  Zheng-Guang Wu,et al.  Exponential Synchronization via Aperiodic Sampling of Complex Delayed Networks , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[3]  Guang-Hong Yang,et al.  Adaptive Reliable Coordination Control for Linear Agent Networks With Intermittent Communication Constraints , 2018, IEEE Transactions on Control of Network Systems.

[4]  Ya-Jun Pan,et al.  Event-Triggered Control for Consensus Problem in Multi-Agent Systems With Quantized Relative State Measurements and External Disturbance , 2018, IEEE Transactions on Circuits and Systems I: Regular Papers.

[5]  Zhiyong Yu,et al.  Multiple types of synchronization analysis for discontinuous Cohen-Grossberg neural networks with time-varying delays , 2018, Neural Networks.

[6]  Peng Shi,et al.  Nonfragile State Estimation of Quantized Complex Networks With Switching Topologies , 2018, IEEE Transactions on Neural Networks and Learning Systems.

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

[8]  Shuiming Cai,et al.  Pinning synchronization of complex directed dynamical networks under decentralized adaptive strategy for aperiodically intermittent control , 2017, Nonlinear Dynamics.

[9]  Guang-Hong Yang,et al.  Fuzzy Approximation-Based Global Pinning Synchronization Control of Uncertain Complex Dynamical Networks , 2017, IEEE Transactions on Cybernetics.

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

[11]  Cheng Hu,et al.  Generalized intermittent control and its adaptive strategy on stabilization and synchronization of chaotic systems , 2016 .

[12]  Guang-Hong Yang,et al.  Distributed reliable H∞ consensus control for a class of multi‐agent systems under switching networks: A topology‐based average dwell time approach , 2016 .

[13]  Haijun Jiang,et al.  Synchronization of hybrid-coupled delayed dynamical networks via aperiodically intermittent pinning control , 2016, J. Frankl. Inst..

[14]  Haijun Jiang,et al.  Finite-time synchronization of memristor-based Cohen-Grossberg neural networks with time-varying delays , 2016, Neurocomputing.

[15]  Ju H. Park,et al.  Mean square exponential synchronization for impulsive coupled neural networks with time-varying delays and stochastic disturbances , 2016, Complex..

[16]  Jianwen Feng,et al.  Exponential synchronization of nonlinearly coupled complex networks with hybrid time-varying delays via impulsive control , 2016, Nonlinear Dynamics.

[17]  Wei Zhang,et al.  Stability and synchronization of memristor-based coupling neural networks with time-varying delays via intermittent control , 2016, Neurocomputing.

[18]  Tianping Chen,et al.  Cluster synchronization for delayed complex networks via periodically intermittent pinning control , 2015, Neurocomputing.

[19]  Jinde Cao,et al.  Adaptive synchronization of fractional-order memristor-based neural networks with time delay , 2015, Nonlinear Dynamics.

[20]  Guodong Zhang,et al.  Exponential Stabilization of Memristor-based Chaotic Neural Networks with Time-Varying Delays via Intermittent Control , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[21]  Qiang Jia,et al.  Cluster synchronization for directed heterogeneous dynamical networks via decentralized adaptive intermittent pinning control , 2015 .

[22]  Mei Fang,et al.  Synchronization for complex dynamical networks with time delay and discrete-time information , 2015, Appl. Math. Comput..

[23]  Haijun Jiang,et al.  Pinning synchronization for directed networks with node balance via adaptive intermittent control , 2015 .

[24]  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.

[25]  Zengrong Liu,et al.  Pinning synchronization of hybrid-coupled directed delayed dynamical network via intermittent control. , 2014, Chaos.

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

[27]  Guo-Xing Wen,et al.  Adaptive Consensus Control for a Class of Nonlinear Multiagent Time-Delay Systems Using Neural Networks , 2014, IEEE Transactions on Neural Networks and Learning Systems.

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

[29]  Chuandong Li,et al.  Lag quasisynchronization of coupled delayed systems with parameter mismatch by periodically intermittent control , 2013 .

[30]  Jinde Cao,et al.  On Pinning Synchronization of Directed and Undirected Complex Dynamical Networks , 2010, IEEE Transactions on Circuits and Systems I: Regular Papers.

[31]  Felipe Cucker,et al.  Emergent Behavior in Flocks , 2007, IEEE Transactions on Automatic Control.

[32]  Tianping Chen,et al.  Synchronization analysis of linearly coupled systems described by differential equations with a coupling delay , 2006 .

[33]  V. Latora,et al.  Complex networks: Structure and dynamics , 2006 .

[34]  Tianping Chen,et al.  Pinning Complex Networks by a Single Controller , 2006, IEEE Transactions on Circuits and Systems I: Regular Papers.

[35]  Guo-Wei Wei,et al.  Synchronization-based image edge detection , 2002 .

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

[37]  S. Strogatz,et al.  Synchronization of pulse-coupled biological oscillators , 1990 .

[38]  Haijun Jiang,et al.  Asymptotical and adaptive synchronization of Cohen-Grossberg neural networks with heterogeneous proportional delays , 2018, Neurocomputing.

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

[40]  Shilpa Chakravartula,et al.  Complex Networks: Structure and Dynamics , 2014 .

[41]  Guanrong Chen,et al.  Hybrid chaos synchronization and its application in information processing , 2002 .

[42]  Jürgen Kurths,et al.  Synchronization: Phase locking and frequency entrainment , 2001 .