Complex group consensus of multi-agent systems with cooperative-competitive mechanisms: acyclic partition method

Lingling Yao, Dongmei Xie and Han Wang

Applied Mathematics and Computation, 2023, vol. 443, issue C

Abstract: For multi-agent system(MAS) with cooperative-competitive mechanisms, we aim to investigate its complex group consensus such as group scaled consensus and group-bipartite scaled consensus. Firstly, for directed graph G with m closed strongly connected components (CSCCs), we show the existence and nonuniqueness of its acyclic partition by giving a CSCC-based acyclic partition strategy, where MAS is divided into m subnetworks with directed spanning trees and the condensed graph of G is a directed acyclic graph. Secondly, under the extensive in-degree balance condition for cooperative-competitive network, an appropriate distributed control protocol is designed to guarantee that MASs can achieve group/group-bipartite scaled consensus by introducing cooperative-competitive matrix and scaling parameter matrix. Furthermore, to guarantee the faster convergence of MASs, we further improve and optimize the acyclic partition strategy by rich algebra and graph theories in three aspects: the selection of sub-root nodes, the division of multi-reachable nodes and the selection of directed spanning tree in each subnetwork. Finally, some simulation examples are presented to verify the effectiveness of our results.

Keywords: Multi-agent systems (MASs); Group scaled consensus; Group-bipartite scaled consensus (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300322008384
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:443:y:2023:i:c:s0096300322008384

DOI: 10.1016/j.amc.2022.127770

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().