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

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

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Does the eigenratio λ2/λN represent the synchronizability of a complex network?

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Chinese Physics B 2012年第8期21卷 107-111页

作者：段志生陈关荣 State Key Laboratory for Turbulence and Complex Systems Department of Mechanics and Aerospace Engineering College of EngineeringPeking University Department of Electronic Engineering City University of Hong Kong

In the study of complex networks,it is commonly believed that the eigenratio λ2/λ N of the Laplacian matrix of a network represents the network synchronizability,especially for symmetric *** paper gives two counterexamples to show that this is not true for the case where the network has a disconnected synchronized ***,a simple answer is presented to the question of when the eigenratio λ2/λ N does represent the network synchronizability.

关键词： synchronizability synchronized region Laplacian eigenratio complex network

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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

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Does the eigenratio synchronizability of λ2/λN represent the a complex network？

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Chinese Physics B 2012年第8期21卷 103-107页

作者：段志生陈关荣 State Key Laboratory for Turbulence and Complex Systems Department of Mechanics and Aerospace EngineeringCollege of EngineeringPeking UniversityBeijing 100871China Department of Electronic Engineering City University of Hong KongHong KongSARChina

In the study of complex networks, it is commonly believed that the eigenratio λ2/λN of the Laplacian matrix of a network represents the network synchronizability, especially for symmetric networks. This paper gives two counterexamples to show that this is not true for the case where the network has a disconnected synchronized region. Consequently, a simple answer is presented to the question of when the eigenratio λ2/λN does represent the network synchronizability.

关键词： synchronizability synchronized region Laplacian eigenratio complex network

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