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Novel criteria for exponential synchronization of inner time-varying complex networks with coupling delay

Chinese Physics B 2012年第4期21卷 145-150页

作者：张群娇赵军产 College of Mathematics and Computer Science Wuhan Textile UniversityWuhan 430073China Laboratoire de Mathématiques Appliquées Universitédu HavreLe Havre Cedex76058France

This paper mainly investigates the exponential synchronization of an inner time-varying complex network with coupling delay. Firstly, the synchronization of complex networks is decoupled into the stability of the corresponding dynamical systems. Based on the Lyapunov function theory, some sufficient conditions to guarantee its stability with any given convergence rate are derived, thus the synchronization of the networks is achieved. Finally, the results are illustrated by a simple time-varying network model with a coupling delay. All involved numerical simulations verify the correctness of the theoretical analysis.

关键词： exponential synchronization time varying complex network coupling delay

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Chaotic Synchronization for a General Complex Networks with coupling delay Based on Pinning Control

Chaotic Synchronization for a General Complex Networks with ...

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第三十届中国控制会议

作者： GONG Dawei,ZHANG Huaguang,WANG Zhanshan,SUN Ning School of Information Science and Engineering,Northeastern University,Shenyang 110819,P.R.China

＜正＞On the basis of Lyapunov stability theory,this paper is concerned with the problem of pinning synchronization for a general complex networks with coupling ***,we designed a controller to keep the system synchronized,the results which we obtain have mild constraint conditions,and the number of nodes which we need to control can be easily computed. Furthermore,applying the same theory,an adaptive pinning control scheme is developed to achieve synchronization of this general complex ***,simulation examples are given to verify the obtained theoretical analysis.

关键词： Chaotic Synchronization Pinning Control Adaptive coupling delay

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Adaptive synchronization of fractional-order general complex dynamical networks with coupling delay

Adaptive synchronization of fractional-order general complex...

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第36届中国控制会议

作者： Xiaoyong Guo Nian Guo Saiyue Zhu Po Hu College of Science Henan University of Engineering College of Software Henan University

ISBN: (纸本)9781538629185

This paper investigates the synchronization of fractional-order general complex dynamical networks with coupling *** on the stability theory of the fractional-order system,the sufficient criteria for synchronization are derived analytically by applying the linear control *** proposed synchronization method is applicable to almost all kinds of coupled fractional-order general complex dynamical networks with coupling *** an example is given to verify the effectiveness of the proposed approach.

关键词： Complex dynamical network The fractional-order system coupling delay Synchronization Adaptive control

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Synchronization of weighted general complex dynamical networks with coupling delays

Synchronization of weighted general complex dynamical networ...

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2010 Chinese Control and Decision Conference

作者： Hongjie Li College of Mathematics and Information Engineering,Jiaxing University,Jiaxing Zhejiang 314001

＜正＞A weighted general complex dynamical networks with coupling delay is proposed,which is undirected and *** some transformation,the synchronization of the complex networks is transferred equally into the asymptotical stability problem of a group of uncorrelated delay functional differential *** of such networks is investigated by applying local feedback injections to a fraction of network nodes for continuous ***, the less conservative sufficient conditions for delay-dependent asymptotical synchronization stability criteria are derived in the form of linear matrix inequalities based on the reformulation of the system and the technique of a discretization scheme of the *** is also shown that the whole networks can be stabilized by controlling only one *** examples are given to illustrate the effectiveness of the proposed approach.

关键词： Pinning control Weighted complex dynamical networks Synchronization coupling delay Linear matrix inequality(LMI)

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Synchronization criteria for coupled Hopfield neural networks with time-varying delays

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Chinese Physics B 2011年第11期20卷 140-150页

作者： M.J.Park O.M.Kwon Ju H.Park S.M.Lee E.J.Cha School of Electrical Engineering Chungbuk National University Department of Electrical Engineering Yeungnam University School of Electronic Engineering Daegu University Department of Biomedical Engineering School of MedicineChungbuk National University

This paper proposes new delay-dependent synchronization criteria for coupled Hopfield neural networks with time-varying delays. By construction of a suitable Lyapunov Krasovskii＇s functional and use of Finsler＇s lemma, novel synchronization criteria for the networks are established in terms of linear matrix inequalities （LMIs） which can be easily solved by various effective optimization algorithms. Two numerical examples are given to illustrate the effectiveness of the proposed methods.

关键词： Hopfield neural networks coupling delay synchronization Lyapunov method

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Topology inference of uncertain complex dynamical networks and its applications in hidden nodes detection

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Science China(Technological Sciences) 2016年第8期59卷 1232-1243页

作者： WANG YingFei WU XiaoQun FENG Hui LU JunAn LU JinHu School of Mathematics and Statistics Wuhan University Wuhan 430072 China Computational Science Hubei Key Laboratory Wuhan University Wuhan 430072 China Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 China

The topological structure of a complex dynamical network plays a vital role in determining the network＇s evolutionary mecha- nisms and functional behaviors, thus recognizing and inferring the network structure is of both theoretical and practical signif- icance. Although various approaches have been proposed to estimate network topologies, many are not well established to the noisy nature of network dynamics and ubiquity of transmission delay among network individuals. This paper focuses on to- pology inference of uncertain complex dynamical networks. An auxiliary network is constructed and an adaptive scheme is proposed to track topological parameters. It is noteworthy that the considered network model is supposed to contain practical stochastic perturbations, and noisy observations are taken as control inputs of the constructed auxiliary network. In particular, the control technique can be further employed to locate hidden sources （or latent variables） in networks. Numerical examples are provided to illustrate the effectiveness of the proposed scheme. In addition, the impact of coupling strength and coupling delay on identification performance is assessed. The proposed scheme provides engineers with a convenient approach to infer topologies of general complex dynamical networks and locate hidden sources, and the detailed performance evaluation can further facilitate practical circuit design.

关键词： complex dynamical network topology inference coupling delay stochastic perturbation hidden node

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Synchronization Analysis of Complex delayed Dynamical Networks Consisting of Lur’e Systems

Synchronization Analysis of Complex Delayed Dynamical Networ...

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2009中国控制与决策会议

作者： Hongjie Li~(1,2),Dong Yue~(2,3) 1.College of Mathematics and Information Engineering,Jiaxing University,Jiaxing Zhejiang 314001 2.College of Information Science and Technology,Donghua University,Shanghai 200051 3.Research Center for Information and Control Engineering Technology,Nanjing Normal University,Nanjing jiangsu 210042

＜正＞The paper is concerned with the problem of global synchronization for a class of dynamical complex network composed of general Lur’e systems,the network model can represent both the directed and undirected weighted networks. Based on the Lyapunov stability theory and property of the coupling matrix,the delay-independent decentralized nonlinear feedback controllers are designed to globally synchronize the network under the assumption that coupling coefficients are *** coupling coefficients are unavailable,the delay-independent decentralized adaptive controllers are introduced to guarantee the global synchronization of the uncertain *** examples are given to demonstrate the effectiveness of proposed results.

关键词： Complex dynamical networks Synchronization Lur’e system coupling delay Decentralized control Lyapunov functional

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