Synchronization of Multi-Weighted Complex Dynamical Networks with Fixed and Switching Topologies
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- 英文论文题名：Synchronization of Multi-Weighted Complex Dynamical Networks with Fixed and Switching Topologies
- 论文作者：QIN Zhen ; WANG Jin-Liang ; HUANG Yan-Li ; REN Shun-Yan
- 英文论文作者：QIN Zhen ; WANG Jin-Liang ; HUANG Yan-Li ; REN Shun-Yan ; School of Computer Science and Software Engineering ; Tianjin Polytechnic University ; School of Mechanical Engineering ; Tianjin Polytechnic University
- 年：2017
- 作者机构：School of Computer Science and Software Engineering,Tianjin Polytechnic University;School of Mechanical Engineering,Tianjin Polytechnic University;
- 英文论文关键词：Multi-Weighted ; Complex Dynamical Networks ; Synchronization ; Fixed Topology ; Switching Topology
- 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
- 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：264k
- 原文格式：D
- 会议级别：全国
摘要
The synchronization of multi-weighted complex dynamical networks with fixed and switching topologies is respectively investigated in this paper. Firstly, by putting to use Lyapunov functional approach and some inequality techniques, we establish a synchronization criterion for the multi-weighted complex dynamical network with fixed topology. In addition, the similar methods can be applied to get some sufficient conditions for synchronization of multi-weighted complex dynamical networks with switching topology. Finally, a numerical example is provided to show the correctness of the acquired synchronization criteria.
The synchronization of multi-weighted complex dynamical networks with fixed and switching topologies is respectively investigated in this paper. Firstly, by putting to use Lyapunov functional approach and some inequality techniques, we establish a synchronization criterion for the multi-weighted complex dynamical network with fixed topology. In addition, the similar methods can be applied to get some sufficient conditions for synchronization of multi-weighted complex dynamical networks with switching topology. Finally, a numerical example is provided to show the correctness of the acquired synchronization criteria.
The synchronization of multi-weighted complex dynamical networks with fixed and switching topologies is respectively investigated in this paper. Firstly, by putting to use Lyapunov functional approach and some inequality techniques, we establish a synchronization criterion for the multi-weighted complex dynamical network with fixed topology. In addition, the similar methods can be applied to get some sufficient conditions for synchronization of multi-weighted complex dynamical networks with switching topology. Finally, a numerical example is provided to show the correctness of the acquired synchronization criteria.
引文
[1]R.Lu,W.Yu,J.Lü,and A.Xue,Synchronization on complex networks of networks,IEEE Transactions on Neural Networks and Learning Systems,25:2110–2118,2014.
[2]H.Liu,M.Cao,C.W.Wu,J.A.Lu,and C.K.Tse,Synchronization in directed complex networks using graph comparison tools,IEEE Transactions on Circuits and Systems I:Regular Papers,62:1185–1194,2015.
[3]X.Liu and T.Chen,Synchronization of complex networks via aperiodically intermittent pinning control,IEEE Transactions on Automatic Control,60:3316–3321,2015.
[4]Y.W.Wang,T.Bian,J.W.Xiao,and C.Wen,Global synchronization of complex dynamical networks through digital communication with limited data rate,IEEE Transactions on Neural Networks and Learning Systems,26:2487–2499,2015.
[5]C.Huang,D.W.C.Ho,J.Lu,and J.Kurths,Pinning synchronization fuzzy complex networks with partial and discretetime couplings,IEEE Transactions on Fuzzy Systems,23:1274–1285,2015.
[6]J.Qin,H.Gao,and W.X.Zheng,Exponential synchronization of complex networks of linear systems and nonlinear oscillators:A unified analysis,IEEE Transactions on Neural Networks and Learning Systems,26:510–521,2015.
[7]J.Tang,C.Zou,and L.Zhao,A general complex dynamical network with time-varying delays and its novel controlled synchronization criteria,IEEE Systems Journal,10:46–52,2016.
[8]H.Liu,M.Cao,and C.W.Wu,Coupling strength allocation for synchronization in complex networks using spectral graph theory,IEEE Transactions on Circuits and Systems I:Regular Papers,61:1520–1530,2014.
[9]X.L.An,L.Zhang,Y.Z.Li,and J.G.Zhang,Synchronization analysis of complex networks with multi-weights and its application in public traffic network,Physica A Statistical Mechanics&Its Applications,412(10):149–156,2014.
[10]X.L.An,L.Zhang,and J.G.Zhang,Research on urban public traffic network with multi-weights based on single bus transfer junction,Physica A Statistical Mechanics&Its Applications,436:748–755,2015.
[11]Y.-P.Zhao,P.He,H.Saberi Nik,J.Ren,Robust adaptive synchronization of uncertain complex networks with multiple time-varying coupled delays,Complexity 20(6):62–73,2015.
[12]J.Lu,Global asymptotical synchronization of delayed complex dynamical networks with switching topology,in Large Scale Complex Systems Theory and Applications,46(13):206–211,2013.
[13]C.Li,W.Yu,and T.Huang,Impulsive synchronization schemes of stochastic complex networks with switching topology:Average time approach,Neural Networks the Official Journal of the International Neural Network Society,54:85–94,2014.
[14]Y.Jin and S.Zhong,Function projective synchronization in complex networks with switching topology and stochastic effects,Applied Mathematics&Computation,259:730-740,2015.
[15]A.Wang,T.Dong,and X.Liao,Event-triggered synchronization strategy for complex dynamical networks with the Markovian switching topologies,Neural Networks the Official Journal of the International Neural Network Society,74:52–57,2015.
[16]X.Yang,J.Xi,Z.Yu,and B.Yang,Stable-protocol admissible synchronizability for high-order singular complex networks with switching topologies,Information Sciences,307:1–17,2015.
[17]Y.Chen,W.Yu,S.Tan,and H.Zhu,Synchronizing nonlinear complex networks via switching disconnected topology,Automatica,70:189–194,2016.
[2]H.Liu,M.Cao,C.W.Wu,J.A.Lu,and C.K.Tse,Synchronization in directed complex networks using graph comparison tools,IEEE Transactions on Circuits and Systems I:Regular Papers,62:1185–1194,2015.
[3]X.Liu and T.Chen,Synchronization of complex networks via aperiodically intermittent pinning control,IEEE Transactions on Automatic Control,60:3316–3321,2015.
[4]Y.W.Wang,T.Bian,J.W.Xiao,and C.Wen,Global synchronization of complex dynamical networks through digital communication with limited data rate,IEEE Transactions on Neural Networks and Learning Systems,26:2487–2499,2015.
[5]C.Huang,D.W.C.Ho,J.Lu,and J.Kurths,Pinning synchronization fuzzy complex networks with partial and discretetime couplings,IEEE Transactions on Fuzzy Systems,23:1274–1285,2015.
[6]J.Qin,H.Gao,and W.X.Zheng,Exponential synchronization of complex networks of linear systems and nonlinear oscillators:A unified analysis,IEEE Transactions on Neural Networks and Learning Systems,26:510–521,2015.
[7]J.Tang,C.Zou,and L.Zhao,A general complex dynamical network with time-varying delays and its novel controlled synchronization criteria,IEEE Systems Journal,10:46–52,2016.
[8]H.Liu,M.Cao,and C.W.Wu,Coupling strength allocation for synchronization in complex networks using spectral graph theory,IEEE Transactions on Circuits and Systems I:Regular Papers,61:1520–1530,2014.
[9]X.L.An,L.Zhang,Y.Z.Li,and J.G.Zhang,Synchronization analysis of complex networks with multi-weights and its application in public traffic network,Physica A Statistical Mechanics&Its Applications,412(10):149–156,2014.
[10]X.L.An,L.Zhang,and J.G.Zhang,Research on urban public traffic network with multi-weights based on single bus transfer junction,Physica A Statistical Mechanics&Its Applications,436:748–755,2015.
[11]Y.-P.Zhao,P.He,H.Saberi Nik,J.Ren,Robust adaptive synchronization of uncertain complex networks with multiple time-varying coupled delays,Complexity 20(6):62–73,2015.
[12]J.Lu,Global asymptotical synchronization of delayed complex dynamical networks with switching topology,in Large Scale Complex Systems Theory and Applications,46(13):206–211,2013.
[13]C.Li,W.Yu,and T.Huang,Impulsive synchronization schemes of stochastic complex networks with switching topology:Average time approach,Neural Networks the Official Journal of the International Neural Network Society,54:85–94,2014.
[14]Y.Jin and S.Zhong,Function projective synchronization in complex networks with switching topology and stochastic effects,Applied Mathematics&Computation,259:730-740,2015.
[15]A.Wang,T.Dong,and X.Liao,Event-triggered synchronization strategy for complex dynamical networks with the Markovian switching topologies,Neural Networks the Official Journal of the International Neural Network Society,74:52–57,2015.
[16]X.Yang,J.Xi,Z.Yu,and B.Yang,Stable-protocol admissible synchronizability for high-order singular complex networks with switching topologies,Information Sciences,307:1–17,2015.
[17]Y.Chen,W.Yu,S.Tan,and H.Zhu,Synchronizing nonlinear complex networks via switching disconnected topology,Automatica,70:189–194,2016.