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Distributed Adaptive Synchronization of complex dynamical network with Unknown Time-varying Weights

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International Journal of Automation and computing 2015年第3期12卷 323-329页

作者： Hui-Na Feng Jun-Min Li School of Mathematics and Statistics Xidian University

A new approach of adaptive distributed control is proposed for a class of networks with unknown time-varying coupling weights. The proposed approach ensures that the complex dynamical networks achieve asymptotical synchronization and all the closed-loop signals are bounded. Furthermore, the coupling matrix is not assumed to be symmetric or irreducible and asymptotical synchronization can be achieved even when the graph of network is not connected. Finally, a simulation example shows the feasibility and effectiveness of the approach.

关键词： complex dynamical network synchronization distributed control adaptive scheme unknown time-varying parameters.

Synchronization in general complex dynamical network with inner-coupling faults 36

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Synchronization in general complex dynamical network with in...

Adaptive Neural network Matrix Projection Synchronization of Unknown complex dynamical networks with Different Dimensions

第36届中国控制会议

作者： Qiliang Gao Chunxia Fan Ke Liu Yingjiang Zhou College of Automation Nanjing University of Posts ＆ Telecommunications

ISBN: (纸本)9781538629185

The synchronization problem is concerned for a complex network with inner-coupling ***,the model of this kind of complex network is established where the inner-coupling faults are presented by a sequence of fault *** the synchronization criteria are derived based on the Lyapunov stability theory and master stability equation method in the form of linear matrix ***,a numerical simulation example is carried out to demonstrate the effectiveness of the proposed fault-tolerant synchronization criterion.

关键词： complex dynamical network Fault tolerant control Synchronization Lyapunov stability theory master stability equation method

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Adaptive Neural Network Matrix Projection Synchronization of...

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

第37届中国控制会议

作者： Aili Fan Junmin Li Department of Applied Mathematics Xidian University

Adaptive generalized function matrix projection synchronization（GFMPS） is investigated for the drivenresponse unknown complex dynamical networks with different dimension of *** neural networks are utilized to represent the unknown nonlinear functions.A novel adaptive synchronization method is designed for the *** adaptive generalized function matrix projection outer synchronization can be achieved in both driver and response networks,the synchronization condition is also given via Lyapunov stability theory.A numerical example is presented to demonstrate the validity of the theoretical results.

关键词： complex dynamical network RBF neural network-based adaptive control Lyapunov stability theory Generalized matrix projection synchronization(GMPS)

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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

Robust H_∞ observer-based control for synchronization of a class of complex dynamical networks

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Chinese Physics B 2011年第6期20卷 89-99页

作者：郑海青井元伟 School of Electrical and Electronics Engineering Shijiazhuang Tiedao University School of Information Science and Engineering Northeastern University

This paper is concerned with the robust Hoo synchronization problem for a class of complex dynamical networks by applying the observer-based control. The proposed feedback control scheme is developed to ensure the asymptotic stability of the augmented system, to reconstruct the non-measurable state variables of each node and to improve the H∞ performance related to the synchronization error and observation error despite the external disturbance. Based on the Lyapunov stability theory, a synchronization criterion is obtained under which the controlled network can be robustly stabilized onto a desired state with a guaranteed H∞ performance. The controller and the observer gains can be given by the feasible solutions of a set of linear matrix inequalities （LMIs）. The effectiveness of the proposed control scheme is demonstrated by a numerical example through simulation.

关键词： complex dynamical network robust H∞ synchronization Lur'e system decentralized observer

Disturbance rejection and H_∞ pinning control of linear complex dynamical networks

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Chinese Physics B 2009年第12期18卷 5228-5234页

作者：李忠奎段志生陈关荣 State Key Laboratory for Turbulence and complex Systems Department of Mechanics and Aerospace EngineeringCollege of EngineeringPeking University

This paper concerns the disturbance rejection problem of a linear complex dynamical network subject to external disturbances. A dynamical network is said to be robust to disturbance, if the H∞ norm of its transfer function matrix from the disturbance to the performance variable is satisfactorily small. It is shown that the disturbance rejection problem of a dynamical network can be solved by analysing the H∞ control problem of a set of independent systems whose dimensions are equal to that of a single node. A counter-intuitive result is that the disturbance rejection level of the whole network with a diffusive coupling will never be better than that of an isolated node. To improve this, local feedback injections are applied to a small fraction of the nodes in the network. Some criteria for possible performance improvement are derived in terms of linear matrix inequalities. It is further demonstrated via a simulation example that one can indeed improve the disturbance rejection level of the network by pinning the nodes with higher degrees than pinning those with lower degrees.

关键词： complex dynamical network pinning control H∞ control robustness

Synchronization Transition of Time Delayed complex dynamical networks with Discontinuous Coupling

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Communications in Theoretical Physics 2017年第1期67卷 54-60页

作者：孙永征李望赵东华 School of Mathematics China University of Mining and TechnologyXuzhou School of Mathematical Sciences Fudan University

This paper investigates the synchronization of time delayed complex dynamical networks with periodical on-off coupling. Both the theoretical and numerical results show that, in spite of time delays and on-off coupling, two networks may synchronize if the coupling strength and the on-off rate are large enough. It is shown that, for undirected and strongly connected networks, the upper bound of time delays for synchronization is a decreasing function of the absolute value of the minimum eigenvalue of the adjacency matrix. The theoretical analysis confirms the numerical results and provides a better understanding of the influence of time delays and on-off coupling on the synchronization transition. The influence of random delays on the synchronization is also discussed.

关键词： complex dynamical network synchronization time delay on-off coupling

Comparison between pinning control of different chaotic complex dynamical networks

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控制理论与应用（英文版） 2008年第1期6卷 2-10页

作者： Linying XIANG Zhongxin LIU Zengqiang CHEN Fei CHEN Ge GUO Zhuzhi YUAN Department of Automation Nankai University Tianjin 300071 China Institute of Systems and Control School of Automation and Electric Engineering Dalian Maritime University Dalian Liaoning 116026 China

The stabilization properties of various typical complex dynamical networks composed of chaotic nodes are theoretically investigated and numerically simulated in detail. Some local stability properties of such pinned networks are derived and the valid stability regions are estimated based on eigenvalue analysis. Numerical simulations of such networks are given to explain why significantly less local controllers are needed by the specifically pinning scheme, which pins the most highly connected nodes in scale-free networks, than that required by the randomly pinning scheme. Also, it is explained why there is no significant difference between the two schemes for controlling random-graph networks and small-world networks.

关键词： complex dynamical network Specifically pinning control Randomly pinning control Lorenz system Chaotic

Fault Tolerant Synchronization for a General complex dynamicalnetwork with Random Delay

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Journal of Harbin Institute of Technology(New Series) 2017年第1期24卷 51-56页

作者： Chao Wang Chunxia Fan Lunsai Gong College of Automation Nanjing University of Postsand TelecommunicationsNanging 210023China

A fault tolerant synchronization strategy is proposed to synchronize a complex network with random time delays and sensor faults. Random time delays over the network transmission are described by using Markov chains. Based on the Lyapunov stability theory and stochastic analysis, several passive fault tolerant synchronization criteria are derived,which can be described in the form of linear matrix inequalities. Finally,a numerical simulation example is carried out and the results show the validity of the proposed fault tolerant synchronization controller.

关键词： complex dynamical network fault tolerant control synchronization random delay sensor faults