Synchronisation and topology identification of stochastic delayed multi-group models with multi-dispersal and Markovian switching

Chunmei Zhang, Yuli Feng, Ran Li and Hui Yang

International Journal of Systems Science, 2023, vol. 54, issue 12, 2498-2518

Abstract: This paper is concerned with the synchronisation and topology identification of stochastic delayed multi-group models with multi-dispersal and Markovian switching (SDMM). Our model is characterised by a combination of the stochastic perturbation, multi-dispersal and Markovian switching, which can reasonably model the actual system. By utilising the graph theory, Lyapunov method and stochastically finite-time attractiveness, two sufficient criteria are obtained to ensure the topology identification of SDMM and finite-time topology identification of SDMM based on adaptive synchronisation and finite-time synchronisation, respectively. These criteria are closely related to the topology property of the network and can be easily verified in practice. Finally, two numerical examples are given to show the effectiveness of the main results.

Date: 2023
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/00207721.2023.2233516 (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:12:p:2498-2518

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

DOI: 10.1080/00207721.2023.2233516

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 ().