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Cluster consensus of second-order multi-agent systems via pinning control

Chinese Physics B 2010年第12期19卷 90-96页

作者：路晓庆 Francis Austin 陈士华 School of Mathematics and Statistics Wuhan University Wuhan 430072 China Department of Applied Mathematics The Hong Kong Polytechnic University Hong Kong China

This paper investigates the cluster consensus problem for second-order multi-agent systems by applying the pinning control method to a small collection of the agents. Consensus is attained independently for different agent clusters according to the community structure generated by the group partition of the underlying graph and sufficient conditions for both cluster and general consensus are obtained by using results from algebraic graph theory and the lasalle invariance principle. Finally, some simple simulations are presented to illustrate the technique.

关键词： second-order multi-agent systems cluster consensus pinning control lasalle invariance principle

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Hybrid Synchronization of Fractional-Order Complex Networks Model via Fractional Order Controller

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Journal of Harbin Institute of Technology(New Series) 2018年第4期25卷 89-96页

作者： Dawei Ding Nana Kong Nian Wang Dong Liang School of Electronics and Information Engineering Anhui University

For the purpose of investigating two complex networks' hybrid synchronization,a controller with fractional-order is *** hybrid synchronization which includes the outer synchronization and inner synchronization,some hybrid synchronization's sufficient conditions according to the Lyapunov stability theorem and the lasalle invariance principle are *** analysis suggests that,only when the state of driving-response networks is outer synchronization and each network is in inner synchronization,two coupled networks' hybrid synchronization under some suitable conditions could be ***,theoretical results are illustrated and validated with the given numerical simulations.

关键词： hybrid synchronization complex network fractional-order controller Lyapunov stabilitytheorem lasalle invariance principle

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A Distributed Consensus Control Law for Non-Holonomic Systems 36

A Distributed Consensus Control Law for Non-Holonomic System...

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第36届中国控制会议

作者： XIA Wubin ZHAO Yixin HUANG Wei School of Computer and Information Science Southwest University

ISBN: (纸本)9781538629185

This paper considers the consensus control problem for a class of non-holonomic chained systems. A smooth static distributed control algorithm is proposed with the aid of the Lyapunov direct method and La Salle invariance principle. Strict stability analysis for the closed-loop system is presented, proving the global asymptotic convergence of the consensus errors to zero under the undirected connected assumption on communication topology. A numeric simulation is carried out showing the effectiveness of the proposed algorithm.

关键词： consensus control non-holonomic systems Lyapunov direct method lasalle invariance principle

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