Synchronization of nonlinear coupled networks with time-delay via aperiodically intermittent pinning control
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- 英文论文题名：Synchronization of nonlinear coupled networks with time-delay via aperiodically intermittent pinning control
- 论文作者：Chengbo Yi ; Jianwen Feng ; Yi Zhao
- 英文论文作者：Chengbo Yi ; Jianwen Feng ; Yi Zhao ; College of Mathematics and Statistics ; Shenzhen University
- 年：2017
- 作者机构：College of Mathematics and Statistics,Shenzhen University;
- 英文论文关键词：Aperiodically intermittent pinning control ; dynamical networks ; nonlinear coupled ; time-delay ; synchronization
- 会议召开时间：2017-07-26
- 会议录名称：第36届中国控制会议论文集（A）
- 英文会议录名称：Proceedings of the 36th Chinese Control Conference（A）
- 语种：英文
- 分类号：O157.5;O231
- 学会代码：KZLL
- 会议名称：第36届中国控制会议
- 会议地点：中国辽宁大连
- 主办单位：中国自动化学会控制理论专业委员会
- 学会名称：中国自动化学会控制理论专业委员会
- 页数：6
- 文件大小：185k
- 原文格式：D
- 会议级别：全国
摘要
In this paper, we investigate the synchronization problem for nonlinear coupled networks with time-delay. Nodes in the networks are assumed to be identical and node's dynamical behaviors are described by continuous-time equations. The networks topology is generalized to directed. By introducing an aperiodically intermittent control scheme combined with pinning strategy,some more general sufficient conditions are derived to guarantee global synchronization of the delayed dynamical networks.Finally, an illustrative example are given to verify the obtained theoretical results.
In this paper, we investigate the synchronization problem for nonlinear coupled networks with time-delay. Nodes in the networks are assumed to be identical and node's dynamical behaviors are described by continuous-time equations. The networks topology is generalized to directed. By introducing an aperiodically intermittent control scheme combined with pinning strategy,some more general sufficient conditions are derived to guarantee global synchronization of the delayed dynamical networks.Finally, an illustrative example are given to verify the obtained theoretical results.
In this paper, we investigate the synchronization problem for nonlinear coupled networks with time-delay. Nodes in the networks are assumed to be identical and node's dynamical behaviors are described by continuous-time equations. The networks topology is generalized to directed. By introducing an aperiodically intermittent control scheme combined with pinning strategy,some more general sufficient conditions are derived to guarantee global synchronization of the delayed dynamical networks.Finally, an illustrative example are given to verify the obtained theoretical results.
引文
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[3]J.Wang,J.Feng,C.Xu,M.Z.Q.Chen,Y.Zhao,The synchronization of instantaneously coupled harmonic oscillators using sampled data with measurement noise,Automatica,vol.66,pp.55-162,2016.
[4]Y.J.Liu,S.M.Lee,O.M.Kwon,J.H.Park,New approach to stability criteria for generalized neural networks with interval time-varying delays,Neurocomputing,vol.149,pp.1544-1551,2015.
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[6]H.Su,Z.Rong,M.Z.Chen,X.Wang,G.Chen and H.Wang,Decentralized Adaptive Pinning Control for Cluster Synchronization of Complex Dynamical Networks,IEEE Transactions on Cybernetics,vol.43,pp.394-399,2013.
[7]L.Yang,X.Liu,The Synchronization of Complex Networks via Impulsive Control[J],IEEE,pp.1969-1971,2012.
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[9]A.Hu and Z.Xu,Pinning a complex dynamical network via impulsive control,Physics Letters A.vol.374,pp.186-190,2009.
[10]J.W.Feng,F.F.Yu,Y.Zhao,Exponential synchronization of nonlinearly coupled complex networks with hybrid timevarying delays via impulsive ontrol,Nonlinear Dynamics,vol.85,pp.621-632,2016.
[11]X.Li,X.Fu,Lag synchronization of chaotic delayed neural networks via impulsive control[J],IMA Journal of Mathematical Control and Information,vol.29,pp.133-145,2012.
[12]J.W.Feng,P.Yang,Y.Zhao,Cluster synchronization for nonlinearly time-varying delayed coupling complex networks with stochastic perturbation via periodically intermittent pinning control,Applied Mathematics&Computation,vol.291,pp.52-68,2016.
[13]H.L.Dong,D.Ye,J.W.Feng,J.Y.Wang,Almost sure cluster synchronization of Markovian switching complex networks with stochastic noise via decentralized adaptive pinning control Nonlinear Dynamics vol.87,pp.727-739,2017.
[14]X.Wang,G.Chen,Pinning control of scale-free dynamical networks,Physica A,vol.310,pp.521-531,2002.
[15]T.Chen,X.Liu,W.Lu,Pinning Complex Networks by a Single Controller,IEEE Transactions on Circuits and Systems-I:Regular Papers,vol.54,pp.1317-1326,2007.
[16]W.Yu,G.Chen,Lü J,et al,Synchronization via Pinning Control on General Complex Networks,SIAM Journal on Control&Optimization,vol.51,PP.1395-1416,2013.
[17]W.Zhang,Li C,Huang T,et al.Synchronization of neural networks with stochastic perturbation via aperiodically intermittent control.[J].Neural Networks the Official Journal of the International Neural Network Society,vol.71(C)105,2015.
[18]X.Liu,T.Chen,Synchronization of nonlinear coupled networks via aperiodically intermittent pinning control,IEEE Transactions on Neural Networks and Learning Systems,vol.26,pp.113-126,2015.
[19]X.Liu,T.Chen,Liu X,Chen T.Synchronization analysis for nonlinearly-coupled complex networks with an asymmetrical coupling matrix,Physica A Statistical Mechanics Its Applications,vol.387,pp.4429-4439,2008.
[20]X.Liu,T.Chen,Synchronization of Linearly Coupled Networks With Delays via Aperiodically Intermittent Pinning Control,IEEE Transactions on Neural Networks and Learning Systems,vol.26,pp.2396-2407,2015.
[2]P.Li,J.Cao,Z.Wang,Robust impulsive synchronization of coupled delayed neural networks with uncertainties,Physica A vol.373,pp.261-272,2007.
[3]J.Wang,J.Feng,C.Xu,M.Z.Q.Chen,Y.Zhao,The synchronization of instantaneously coupled harmonic oscillators using sampled data with measurement noise,Automatica,vol.66,pp.55-162,2016.
[4]Y.J.Liu,S.M.Lee,O.M.Kwon,J.H.Park,New approach to stability criteria for generalized neural networks with interval time-varying delays,Neurocomputing,vol.149,pp.1544-1551,2015.
[5]A.Arenas,A.D′?az-Guilera,J.Kurths,Y.Moreno,C.S.Zhou,synchronization in complex networks,Physics Reports,vol.469,pp.93-153,2008.
[6]H.Su,Z.Rong,M.Z.Chen,X.Wang,G.Chen and H.Wang,Decentralized Adaptive Pinning Control for Cluster Synchronization of Complex Dynamical Networks,IEEE Transactions on Cybernetics,vol.43,pp.394-399,2013.
[7]L.Yang,X.Liu,The Synchronization of Complex Networks via Impulsive Control[J],IEEE,pp.1969-1971,2012.
[8]X.Yang,C.Huang,Q.Zhu,Synchronization of switched neural networks with mixed delays via impulsive control,Chaos Solitons Fractals,vol.44,pp.817-826,2014.
[9]A.Hu and Z.Xu,Pinning a complex dynamical network via impulsive control,Physics Letters A.vol.374,pp.186-190,2009.
[10]J.W.Feng,F.F.Yu,Y.Zhao,Exponential synchronization of nonlinearly coupled complex networks with hybrid timevarying delays via impulsive ontrol,Nonlinear Dynamics,vol.85,pp.621-632,2016.
[11]X.Li,X.Fu,Lag synchronization of chaotic delayed neural networks via impulsive control[J],IMA Journal of Mathematical Control and Information,vol.29,pp.133-145,2012.
[12]J.W.Feng,P.Yang,Y.Zhao,Cluster synchronization for nonlinearly time-varying delayed coupling complex networks with stochastic perturbation via periodically intermittent pinning control,Applied Mathematics&Computation,vol.291,pp.52-68,2016.
[13]H.L.Dong,D.Ye,J.W.Feng,J.Y.Wang,Almost sure cluster synchronization of Markovian switching complex networks with stochastic noise via decentralized adaptive pinning control Nonlinear Dynamics vol.87,pp.727-739,2017.
[14]X.Wang,G.Chen,Pinning control of scale-free dynamical networks,Physica A,vol.310,pp.521-531,2002.
[15]T.Chen,X.Liu,W.Lu,Pinning Complex Networks by a Single Controller,IEEE Transactions on Circuits and Systems-I:Regular Papers,vol.54,pp.1317-1326,2007.
[16]W.Yu,G.Chen,Lü J,et al,Synchronization via Pinning Control on General Complex Networks,SIAM Journal on Control&Optimization,vol.51,PP.1395-1416,2013.
[17]W.Zhang,Li C,Huang T,et al.Synchronization of neural networks with stochastic perturbation via aperiodically intermittent control.[J].Neural Networks the Official Journal of the International Neural Network Society,vol.71(C)105,2015.
[18]X.Liu,T.Chen,Synchronization of nonlinear coupled networks via aperiodically intermittent pinning control,IEEE Transactions on Neural Networks and Learning Systems,vol.26,pp.113-126,2015.
[19]X.Liu,T.Chen,Liu X,Chen T.Synchronization analysis for nonlinearly-coupled complex networks with an asymmetrical coupling matrix,Physica A Statistical Mechanics Its Applications,vol.387,pp.4429-4439,2008.
[20]X.Liu,T.Chen,Synchronization of Linearly Coupled Networks With Delays via Aperiodically Intermittent Pinning Control,IEEE Transactions on Neural Networks and Learning Systems,vol.26,pp.2396-2407,2015.