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pinning consensus analysis of multi-agent networks with arbitrary topology

第26届中国控制与决策会议

作者： Wan Youhong Xu Ji College of Automation Nanjing University of Posts and Telecommunications

ISBN: (纸本)9781479937097

In this paper,a kind of output feedback adaptive pinning controller is designed for the synchronization of state-coupling and output-coupling complex dynamical networks,where some states are *** adaptive coefficients are related to the property of controlled nodes,different from the past researches in which they were simply set as *** on Lyapunov stability theory,synchronization criteria are proposed to ensure the networks can achieve *** derived conclusions can also be used to estimate the minimum number of pinned ***,the numeric simulations of a typical network are employed to verify the effectiveness of the conclusions.

关键词： complex dynamical networks output feedback pinning control adaptive synchronization

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Chinese Physics B 2013年第9期22卷 183-189页

作者：纪良浩廖晓峰陈欣 State Key Laboratory of Power Transmission Equipment & System Security and New Technology College of Computer ScienceChongqing University Chongqing key Laboratory of Computational Intelligence (Chongqing University of Posts and Telecommunications) School of Software Engineering Chongqing University

In this paper the pinning consensus of multi-agent networks with arbitrary topology is investigated. Based on the properties of M-matrix, some criteria of pinning consensus are established for the continuous multi-agent network and the results show that the pinning consensus of the dynamical system depends on the smallest real part of the eigenvalue of the matrix which is composed of the Laplacian matrix of the multi-agent network and the pinning control gains. Meanwhile, the relevant work for the discrete-time system is studied and the corresponding criterion is also obtained. Particularly, the fundamental problem of pinning consensus, that is, what kind of node should be pinned, is investigated and the positive answers to this question are presented. Finally, the correctness of our theoretical findings is demonstrated by some numerical simulated examples.

关键词： multi-agent pinning control consensus synchronization

pinning-controlled synchronization of complex networks with bounded or unbounded synchronized regions

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Chinese Physics B 2009年第8期18卷 3337-3346页

作者：邹艳丽陈关荣 College of Physics and Electronic Engineering Guangxi Normal University Department of Electronic Engineering City University of Hong Kong

This paper studies pinning-controlled synchronization of complex networks with bounded or unbounded synchronized regions. To study a state-feedback pinning-controlled network with N nodes, it first converts the controlled network to an extended network of N＋1 nodes without controls. It is shown that the controlled synchronizability of the given network is determined by the real part of the smallest nonzero eigenvalue of the coupling matrix of its extended network when the synchronized region is unbounded; but it is determined by the ratio of the real parts of the largest and the smallest nonzero eigenvalues of the coupling matrix when the synchronized region is bounded. Both theoretical analysis and numerical simulation show that the portion of controlled nodes has no critical values when the synchronized region is unbounded, but it has a critical value when the synchronized region is bounded. In the former case, therefore, it is possible to control the network to achieve synchronization by pinning only one node. In the latter case, the network can achieve controlled synchronization only when the portion of controlled nodes is larger than the critical value.

关键词： synchronization pinning control complex network synchronized region

pinning Synchronization of Coupled Oscillators with Paired Topologies

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Journal of Systems Science & Complexity 2022年第5期35卷 1653-1667页

作者： ZHANG Miaosen LU Yuezu WANG Qishao WEN Guanghui LIU Guohua XU Wenying Chien-Shiung Wu College of SEU Southeast UniversityNanjing 211189China School of Mathematics Southeast UniversityNanjing 211189China Department of Dynamics and control Beihang UniversityBeijing 100871China

This paper investigates the pinning synchronization of a group of coupled oscillators,where both the dissipative and restorative interactions are taken into *** paired coupling topologies are introduced to capture this feature of the *** realize the synchronization of the coupled oscillators,the pinning control is introduced,and two pinning criteria are proposed to ensure the *** these two proposed criteria provide sufficient and necessary conditions for pinning synchronization of the coupled oscillators with paired *** examples are illustrated to verify the proposed theoretical results.

关键词： Paired coupling topologies pinning control synchronization

pinning synchronization of networked multi-agent systems: spectral analysis

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control Theory and Technology 2015年第1期13卷 45-54页

作者： Linying XIANG Fei CHEN Guanrong CHEN Department of Automation Xiamen University Department of Electronic Engineering City University of Hong Kong

pinning synchronization of a networked multi-agent system with a directed communication topology is investigated from a spectral analysis approach. Some new types of synchronized regions for networked systems with different nonlinear agent dynamics and inner coupling structures are discovered. The eigenvalue distributions of the coupling and control matrices for different types of directed networks are obtained. The effects of the network topology, pinning density and pinning strength on the network synchronizability are examined through extensive numerical simulations. It is shown that the synchronizability of the pinned network can be effectively improved by increasing pinning density and pinning strength for some types of synchronized regions, whereas too large the pinning density and pinning strength will lead to desynchronization for other types. It is found that directed random networks are not always easier to synchronize than directed small-world networks, and a denser eigenvalue distribution may not always imply better synchronizability.

关键词： Multi-agent system directed network pinning control spectral analysis synchronizability synchronized region

Trajectory control of Scale-Free Dynamical Networks with Exogenous Disturbances

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Communications in Theoretical Physics 2011年第1期55卷 185-192页

作者：杨洪勇张顺宗广灯 School of Information Science and Engineering Ludong University Institute of Automation Qufu Normal University

In this paper, the trajectory control of multi-agent dynamical systems with exogenous disturbances is studied. Suppose multiple agents composing of a scale-free network topology, the performance of rejecting disturbances for the low degree node and high degree node is analyzed. Firstly, the consensus of multi-agent systems without disturbances is studied by designing a pinning control strategy on a part of agents, where this pinning control can bring multiple agents＇ states to an expected consensus track. Then, the influence of the disturbances is considered by developing disturbance observers, and disturbance observers based control （DOBC） are developed for disturbances generated by an exogenous system to estimate the disturbances. Asymptotical consensus of the multi-agent systems with disturbances under the composite controller can be achieved for scale-free network topology. Finally, by analyzing examples of multi-agent systems with scale-free network topology and exogenous disturbances, the verities of the results are proved. Under the DOBC with the designed parameters, the trajectory convergence of multi-agent systems is researched by pinning two class of the nodes. We have found that it has more stronger robustness to exogenous disturbances for the high degree node pinned than that of the low degree node pinned.

关键词： multi-agent systems exogenous disturbances scale-free networks trajectory control pinning control disturbance observers

Number estimation of controllers for pinning a complex dynamical network

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Journal of Zhejiang University-Science C(Computers and Electronics) 2011年第6期12卷 470-477页

作者： Lei WANG Huan SHI You-xian SUN School of Mathematics and Systems Science and LMIB Beihang University Beijing 100191 China State Key Lab of Industrial control Technology Institute of Industrial Process Control Zhejiang University Hangzhou 310027 China

Number estimation of controllers is a fundamental question in pinning synchronization of complex networks. This paper studies the problem of controller number in synchronizing a complex network of coupled dynamical systems by means of pinning. For a complex network with a symmetric coupling matrix and full coupling between the nodes, we formulate network synchronization via pinning as a linear matrix inequality criterion, and provide a lower bound and an upper bound of the controller number for a given complex network with fixed architecture. Several numerical examples with Barabási-Albert network topologies are provided to verify our theoretical results.

关键词： pinning control Number estimation Synchronization Complex networks

Bridging the gap between complex networks and smart grids

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Journal of control and Decision 2014年第1期1卷 102-114页

作者： Wenwu Yu Guanghui Wen Xinghuo Yu Zaijun Wu Jinhu Lü Department of Mathematics Southeast UniversityNanjingChina School of Electrical and Computer Engineering RMIT UniversityMelbourneAustralia School of Electrical Engineering Southeast UniversityNanjingChina Academy of Mathematics and Systems Science Chinese Academy of SciencesBeijingChina

It is well known that many real-world systems can be described by complex networks with the nodes and the edges representing the individuals and their communications,*** on recent advances in complex networks,this paper aims to provide some new methodologies to study some fundamental problems in smart *** particular,it summarises some results for network properties,distributed control and optimisation,and pinning control in complex networks and tries to reveal how these new technologies can be applied in smart grids.

关键词： smart grids complex networks consensus multi-agent systems distributed control and optimisation pinning control

pinning weighted complex networks with heterogeneous delays by a small number of feedback controllers

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Science in China(Series F) 2008年第5期51卷 511-523页

作者： XIANG LinYing LIU ZhongXin CHEN ZengQiang YUAN ZhuZhi Department of Automation Nankai University Tianjin 300071 China

Weighted complex dynamical networks with heterogeneous delays in both continuous-time and discrete-time domains are controlled by applying local feedback injections to a small fraction of network nodes. Some generic stability criteria ensuring delay-independent stability are derived for such controlled networks in terms of linear matrix inequalities （LMIs）, which guarantee that by placing a small number of feedback controllers on some nodes the whole network can be pinned to some desired homogenous states. In some particular cases, a single controller can achieve the control objective. It is found that stabilization of such pinned networks is completely determined by the dynamics of the individual uncoupled node, the overall coupling strength, the inner-coupling matrix, and the smallest eigenvalue of the coupling and control matrix. Numerical simulations of a weighted network composing of a 3-dimensional nonlinear system are finally given for illustration and verification.

关键词： complex dynamical network linear matrix inequality (LMI) weighted network pinning control hetero-geneous delay