Abstract
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.
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