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cluster synchronization of uncertain complex networks with desynchronizing impulse

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Chinese Physics B 2014年第12期23卷 109-116页

作者：蔡国梁姜胜芹蔡水明田立新 Nonlinear Scientific Research Center Jiangsu University

cluster synchronization of nonlinear uncertain complex networks with desynchronizing impulse is explored. First of all, a feedback controller is employed, based on the Lyapunov stability theorem and Lipschitz condition, to guarantee that the uncertain complex networks with desynchronizing impulse synchronize with an object trajectory. Furthermore, a synchronizing impulse controller is presented, which is more efficiently and directly used to achieve the cluster synchronization. Finally, numerical examples are examined to show the effectiveness of the proposed methods.

关键词： uncertain complex networks desynchronizing impulse cluster synchronization

cluster synchronization IN A COMPLEX DYNAMICAL NETWORK WITH TWO NONIDENTICAL clusterS

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Journal of Systems Science & Complexity 2008年第1期21卷 20-33页

作者： Liang CHEN Jun'an LU School of Mathematics and Statistics Wuhan University Wuhan 430072 China.

This paper further investigates cluster synchronization in a complex dynamical network with *** cluster contains a number of identical dynamical systems,however,the sub- systems composing the two clusters can be different,i.e.,the individual dynamical system in one cluster can differ from that in the other *** synchronization within each cluster is possible only if each node from one cluster receives the same input from nodes in other *** this case,the stability condition of one-cluster synchronization is known to contain two terms:the first accounts for the contribution of the inner-cluster coupling structure while the second is simply an extra linear term,which can be deduced by the'same-input'*** the connection graph stability method,the authors obtain an upper bound of input strength for one cluster if the first account is known,by which the synchronizability of cluster can be *** different clusters,there are different upper bound of input strength by virtue of different dynamics and the corresponding cluster ***,two illustrative examples are presented and the numerical simulations coincide with the theoretical analysis.

关键词： cluster synchronization complex dynamical network connection graph stability.

cluster synchronization in community network with nonidentical nodes via intermittent pinning control

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Chinese Physics B 2015年第4期24卷 100-105页

作者：甘璐伊宁吴召艳弓晓利 College of Mathematics and Information Science Jiangxi Normal University

In this paper, cluster synchronization in community network with nonidentical nodes is investigated. By combining intermittency with a pinning control scheme, some effective controllers are designed. In the control scheme, only one node in each community is controlled and coupling weights of a spanning tree in each community are enhanced. Based on the Lyapunov function method and mathematical analysis technique, two results for achieving cluster synchronization are obtained. Noticeably, by introducing an adaptive strategy, some universal adaptive intermittent pinning controllers are designed for different networks. Finally, two numerical simulations are performed to verify the correctness of the derived results.

关键词： cluster synchronization community network intermittent pinning control

cluster synchronization of Stochastic Perturbed Complex Networks with Time-varying Delays

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Cluster Synchronization of Stochastic Perturbed Complex Netw...

Guaranteed cost boundary control for cluster synchronization of complex spatio-temporal dynamical networks with community structure

第25届中国控制与决策会议

作者： Yi Zhao Jianwen Feng Jingyi Wang College of Mathematics and Computional Science Shenzhen University College of Information Science and Engineering Shenzhen University

ISBN: (纸本)9781467355322

In this paper, we investigate the cluster synchronization problem for stochastic complex networks with time-varying delays by using pinning control. By utilizing the Lyapunov stability theory, stochastic analysis theory as well as linear matrix inequalities （LMI）, the sufficient conditions for cluster synchronization for any initial values are derived to guarantee the synchronization. Some numerical examples are then given to illustrate the theoretical results.

关键词： Complex Networks cluster synchronization Stochastic Perturbations Time-varying Delays

来源： cnki会议评论

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Science China(Information Sciences) 2018年第5期61卷 254-266页

作者： Chengdong YANG Jinde CAO Tingwen HUANG Jianbao ZHANG Jianlong QIU School of Automation Southeast University School of Information Science and Technology Linyi University School of Mathematics and Research Center for Complex Systems and Network SciencesSoutheast University Texas A & M University at Qatar School of Automobile Engineering Linyi University

This paper discusses the problem for cluster synchronization control of a nonlinear complex spatio-temporal dynamical network(CSDN) with community structure. Initially, a collocated boundary controller with boundary measurement is studied to achieve the cluster synchronization of the CSDN. After that, a guaranteed cost boundary controller is further developed based on the obtained results. Furthermore,the suboptimal control design is addressed by minimizing an upper bound of the cost function. Finally, a numerical example is given to demonstrate the effectiveness of the proposed methods.

关键词： cluster synchronization complex dynamical networks boundary control guaranteed control LMIs

Eigenvector-based analysis of cluster synchronization in general complex networks of coupled chaotic oscillators

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Frontiers of physics 2023年第4期18卷 321-335页

作者： Huawei Fan Ya Wang Xingang Wang School of Science Xi’an University of Posts and TelecommunicationsXi’an 710121China School of Physics and Information Technology Shaanxi Normal UniversityXi’an 710062China

Whereas topological symmetries have been recognized as crucially important to the exploration of synchronization patterns in complex networks of coupled dynamical oscillators,the identification of the symmetries in largesize complex networks remains as a ***,even though the topological symmetries of a complex network are known,it is still not clear how the system dynamics is transited among different synchronization patterns with respect to the coupling strength of the *** propose here the framework of eigenvector-based analysis to identify the synchronization patterns in the general complex networks and,incorporating the conventional method of eigenvalue-based analysis,investigate the emergence and transition of the cluster synchronization *** are able to argue and demonstrate that,without a prior knowledge of the network symmetries,the method is able to predict not only all the cluster synchronization states observable in the network,but also the critical couplings where the states become stable and the sequence of these states in the process of synchronization *** efficacy and generality of the proposed method are verified by different network models of coupled chaotic oscillators,including artificial networks of perfect symmetries and empirical networks of non-perfect *** new framework paves a way to the investigation of synchronization patterns in large-size,general complex networks.

关键词： cluster synchronization complex networks network symmetry coupled oscillators

Impulsive cluster synchronization in Community Network with Nonidentical Nodes

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Communications in Theoretical Physics 2012年第10期58卷 525-530页

作者：邓丽萍吴召艳 Department of Mathematics Jiangxi Normal University

In this paper,cluster synchronization in community network with nonidentical nodes and impulsive effects is *** networks with two kinds of topological structure are *** weighted network is considered first and external pinning controllers are designed for achieving cluster *** and competitive network under some assumptions is investigated as well and can achieve cluster synchronization with only impulsive *** on the stability analysis of impulsive differential equation and the Lyapunov stability theory,several simple and useful synchronization criteria are ***,numerical simulations are provided to verify the effectiveness of the derived results.

关键词： cluster synchronization community network impulsive control

New Approach to cluster synchronization in Complex Dynamical Networks

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Communications in Theoretical Physics 2009年第3期51卷 485-489页

作者： LU Xin-Biao QIN Bu-Zhi LU Xin-Yu Department of Automation Hohai University Nanjing 210098 China Department of Automation Nanjing College of Chemical Technology Nanjing 210048 China Shandong Metallurgical Research Institute Jinan 250014 China

In this paper, a distributed control strategy is proposed to make a complex dynamical network achieve cluster synchronization, which means that nodes in the same group achieve the same synchronization state, while nodes in different groups achieve different synchronization states. The local and global stability of the cluster synchronization state are analyzed. Moreover, simulation results verify the effectiveness of the new approach.

关键词： cluster synchronization complex network distributed control strategy

cluster synchronization in Complex Dynamical Networks Via Comparison Principle

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Cluster Synchronization in Complex Dynamical Networks Via Co...