Strong reciprocal ratio consensus of modified second-order multi-agent systems with periodically time-varying topologies. (English) Zbl 1530.93471
Summary: The strong reciprocal ratio consensus problem of modified second-order discrete-time multi-agent systems (DTMASs) with periodically time-varying topologies is investigated. The strong reciprocal ratio consensus is a new consensus and covers the strong ratio average-consensus as a special case. Modified second-order DTMAS is a variant of second-order DTMAS. A distributed control protocol is designed to achieve the strong reciprocal ratio consensus and it is the first time that ratio strategy is combined with second-order DTMASs. Furthermore, our work covers several cases where dynamically changing topologies are directed or undirected, connected or disconnected, or even mixed patterns of connected and disconnected graphs.
Keywords:
discrete-time systems; modified second-order multi-agent systems; period; time-varying topologies; strong reciprocal ratio consensusReferences:
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