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Multiagent systems with compaßes
KTH, School of Electrical Engineering (EES), Automatic Control.ORCID iD: 0000-0001-9940-5929
2015 (English)In: SIAM Journal of Control and Optimization, ISSN 0363-0129, E-ISSN 1095-7138, Vol. 53, no 5, 3057-3080 p.Article in journal (Refereed) PublishedText
Abstract [en]

This paper investigates agreement protocols over cooperative and cooperativeantagonistic multiagent networks with coupled continuous-time nonlinear dynamics. To guarantee convergence for such systems, it is common in the literature to assume that the vector field of each agent is pointing inside the convex hull formed by the states of the agent and its neighbors, given that the relative states between each agent and its neighbors are available. This convexity condition is relaxed in this paper, as we show that it is enough that the vector field belongs to a strict tangent cone based on a local supporting hyperrectangle. The new condition has the natural physical interpretation of requiring shared reference directions in addition to the available local relative states. Such shared reference directions can be further interpreted as if each agent holds a magnetic compass indicating the orientations of a global frame. It is proved that the cooperative multiagent system achieves exponential state agreement if and only if the time-varying interaction graph is uniformly jointly quasi-strongly connected. Cooperative-antagonistic multiagent systems are also considered. For these systems, the relation has a negative sign for arcs corresponding to antagonistic interactions. State agreement may not be achieved, but instead it is shown that all the agents' states asymptotically converge, and their limits agree componentwise in absolute values if and in general only if the time-varying interaction graph is uniformly jointly strongly connected.

Place, publisher, year, edition, pages
2015. Vol. 53, no 5, 3057-3080 p.
Keyword [en]
Cooperative-antagonistic network, Nonlinear systems, Shared reference direction, Continuous time systems, Electric ship equipment, Antagonistic interactions, Continuous-time, Cooperative multiagent systems, Interaction graphs, Multiagent networks, Physical interpretation, Strongly connected, Multi agent systems
National Category
Computer Systems Control Engineering Computer Science
Identifiers
URN: urn:nbn:se:kth:diva-181522DOI: 10.1137/140982283ScopusID: 2-s2.0-84945959811OAI: oai:DiVA.org:kth-181522DiVA: diva2:912445
Note

QC 20160316

Available from: 2016-03-16 Created: 2016-02-02 Last updated: 2016-03-16Bibliographically approved

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Johansson, Karl Henrik
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