Group consensus of discrete-time multi-agent systems with fixed and stochastic switching topologies View Full Text


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Article Info

DATE

2014-09

AUTHORS

Huanyu Zhao, Ju H. Park

ABSTRACT

This paper investigates the group consensus problem for discrete-time multi-agent systems with a fixed topology and stochastic switching topologies. The stochastic switching topologies are assumed to be governed by a finite-time Markov chain. The group consensus problem of the multi-agent systems is converted into the stability problem of the error systems by a model transformation. Based on matrix theory and linear system theory, we obtain two necessary and sufficient conditions of couple-group consensus for the case of fixed topology, and one necessary and sufficient condition of mean-square couple-group consensus for the case of stochastic switching topologies. Algorithms are provided to design the feasible control gains. Then, the results are extended to the case of multi-group consensus. Finally, simulation examples are given to show the effectiveness of the proposed results. More... »

PAGES

1297-1307

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11071-014-1379-0

DOI

http://dx.doi.org/10.1007/s11071-014-1379-0

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1040950977


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