A nonlinear merging protocol for consensus in multi-agent systems on signed and weighted graphs

Shasha Feng, Li Wang, Yijia Li, Shiwen Sun and Chengyi Xia

Physica A: Statistical Mechanics and its Applications, 2018, vol. 490, issue C, 653-663

Abstract: In this paper, we investigate the multi-agent consensus for networks with undirected graphs which are not connected, especially for the signed graph in which some edge weights are positive and some edges have negative weights, and the negative-weight graph whose edge weights are negative. We propose a novel nonlinear merging consensus protocol to drive the states of all agents to converge to the same state zero which is not dependent upon the initial states of agents. If the undirected graph whose edge weights are positive is connected, then the states of all agents converge to the same state more quickly when compared to most other protocols. While the undirected graph whose edge weights might be positive or negative is unconnected, the states of all agents can still converge to the same state zero under the premise that the undirected graph can be divided into several connected subgraphs with more than one node. Furthermore, we also discuss the impact of parameter r presented in our protocol. Current results can further deepen the understanding of consensus processes for multi-agent systems.

Keywords: Signed graph; Negative-weight graph; Unconnected graph; Connected subgraphs; Merging consensus; Multi-agent systems (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:490:y:2018:i:c:p:653-663

DOI: 10.1016/j.physa.2017.08.054

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