Couple-group consensus of continuous-time multi-agent systems under Markovian switching topologies

Shang, Yilun (2015) Couple-group consensus of continuous-time multi-agent systems under Markovian switching topologies. Journal of the Franklin Institute, 352 (11). pp. 4826-4844. ISSN 0016-0032

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Abstract

This paper studies the couple-group consensus problem of multi-agent systems with general linear time-invariant dynamics. The interaction among agents is governed by a continuous-time homogeneous Markov process, whose state space corresponds to all the possible communication topologies. A linear consensus protocol is introduced to realize the couple-group consensus, where the agents in one subnetwork reach a consistent state while those in the other subnetwork reach another consistent state. When the agent dynamics is stabilizable, it is found that the couple-group consensus can be achieved under some mild algebraic and topological conditions of the inter-communication and intra-communication of agents in the two subnetworks. Appropriate consensus gain is designed and the speed to consensus is derived. Finally, three numerical examples are included to illustrate the obtained results.

Item Type:	Article
Subjects:	G100 Mathematics
Department:	Faculties > Engineering and Environment > Computer and Information Sciences
Depositing User:	Paul Burns
Date Deposited:	05 Dec 2018 11:09
Last Modified:	11 Oct 2019 18:17
URI:	http://nrl.northumbria.ac.uk/id/eprint/37085

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