Constraint consensus of heterogeneous multi-agent systems

Quanyi Liang () and Zhikun She
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Quanyi Liang: School of Mathematics and Systems Science, Beihang University, Beijing, P. R. China
Zhikun She: LMIB and School of Mathematics and Systems Science, Beihang University, Beijing, P. R. China

International Journal of Modern Physics C (IJMPC), 2018, vol. 29, issue 05, 1-9

Abstract: In this brief paper, we study the constraint consensus problem of heterogeneous multi-agent systems. First, we provide an invariant set, which can be exactly obtained by solving linear equations. Then, a virtual system is defined on this invariant set such that it is the largest common embedded system of all the individual agents. Afterwards, a linear consensus protocol is proposed with the corresponding constraint consensus criterion. In particular, the above virtual system can reveal all the asymptotic dynamical behaviors if heterogeneous multi-agent systems achieve consensus. Finally, an example with numerical simulations is given to illustrate the validity of our criterion.

Keywords: Constraint consensus; heterogeneous; virtual system; algebraic connectivity (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1142/S0129183118400053

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