Mean square consensus for linear multi-agent systems with time delays and relative-state-dependent noises

Jing Wang, Yong Peng, Liya Dou and Shuang Ju

International Journal of Systems Science, 2023, vol. 54, issue 3, 672-683

Abstract: This work investigates the consensus problem of a linear multi-agent system with relative-state-dependent noises and time delays, where the noises are proportional to the relative states of agents and the delays are time-variant and uniform. The network topology of the information flow between agents is a directed graph. Based on the analysis of stochastic delayed differential equation and Lyapunov stability theory, sufficient conditions for the mean square consensus of the multi-agent system are given by deriving out the upper bounds of delays and the intensities of the noises. Serval numerical simulation examples are shown to verify the effectiveness of the theoretical results.

Date: 2023
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/00207721.2022.2141591 (text/html)
Access to full text is restricted to subscribers.

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:taf:tsysxx:v:54:y:2023:i:3:p:672-683

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/TSYS20

DOI: 10.1080/00207721.2022.2141591

Access Statistics for this article

International Journal of Systems Science is currently edited by Visakan Kadirkamanathan

More articles in International Journal of Systems Science from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().