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Network synchronization with nonlinear dynamics and switching interactions
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2016 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 61, no 10, 3103-3108 p., 7317753Article in journal (Refereed) Published
Abstract [en]

This technical note considers the synchronization problem for networks of coupled nonlinear dynamical systems under switching communication topologies. Two types of nonlinear agent dynamics are considered. The first one is non-expansive dynamics [stable dynamics with a convex Lyapunov function φ(·)] and the second one is dynamics that satisfies a global Lipschitz condition. For the non-expansive case, we show that various forms of joint connectivity for communication graphs are sufficient for networks to achieve global asymptotic φ-synchronization. We also show that φ-synchronization leads to state synchronization provided that certain additional conditions are satisfied. For the globally Lipschitz case, unlike the non-expansive case, joint connectivity alone is not sufficient for achieving synchronization. A sufficient condition for reaching global exponential synchronization is established in terms of the relationship between the global Lipschitz constant and the network parameters. © 2015 IEEE.

Place, publisher, year, edition, pages
IEEE Press, 2016. Vol. 61, no 10, 3103-3108 p., 7317753
Keyword [en]
Multi-agent systems, Nonlinear agents, Switching interactions, Synchronization, Dynamical systems, Dynamics, Lyapunov functions, Nonlinear dynamical systems, Communication graphs, Communication topologies, Convex Lyapunov function, Global exponential synchronizations, Lipschitz conditions, Network synchronization, State synchronization, Synchronization problem, Multi agent systems
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
URN: urn:nbn:se:kth:diva-194585DOI: 10.1109/TAC.2015.2497907ScopusID: 2-s2.0-84990925759OAI: diva2:1044190

Funding Details: Vetenskapsrådet. QC 20161102

Available from: 2016-11-02 Created: 2016-10-31 Last updated: 2016-11-02Bibliographically approved

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Johansson, Karl H.
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ACCESS Linnaeus Centre
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