On topology and dynamics of consensus among linear high-order agents
Peter Wieland,
Jung-Su Kim and
Frank Allgöwer
International Journal of Systems Science, 2011, vol. 42, issue 10, 1831-1842
Abstract:
Consensus of a group of agents in a multi-agent system with and without a leader is considered. All agents are modelled by identical linear n-th order dynamical systems while the leader, when it exists, may evolve according to a different linear model of the same order. The interconnection topology between the agents is modelled as a directed weighted graph. We provide answers to the questions of whether the group converges to consensus and what consensus value the group eventually reaches. To that end, we give a detailed analysis of relevant algebraic properties of the graph Laplacian. Furthermore, we propose an LMI-based design for group consensus in the general case.
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:taf:tsysxx:v:42:y:2011:i:10:p:1831-1842
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DOI: 10.1080/00207721003658202
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