Article ID Journal Published Year Pages File Type
4628075 Applied Mathematics and Computation 2014 11 Pages PDF
Abstract

This paper deals with the couple-group consensus problem for second-order discrete-time multi-agent systems. Both the fixed topology case and the stochastic switching topology case are considered. The couple-group consensus problem is converted into the stability problem of the error system by a linear transformation. For the fixed topology case, we obtain two different conditions of couple-group consensus. For the stochastic switching topology case, we obtain a necessary and sufficient condition of mean-square couple-group consensus. Algorithms are provided to design the allowable control gains. Finally, simulation examples are given to show the usefulness of the theoretical results.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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