Observer-based consensus of fractional order parabolic PDEs agents on directed networks via boundary communication

Fei Wang, Chuan Zhang, Yongqing Yang and Ning Li

Chaos, Solitons & Fractals, 2023, vol. 170, issue C

Abstract: This paper investigates the consensus of fractional order multi-agent systems which are modeled by parabolic partial differential equations (PDEs). Both leaderless and leader-following consensus are studied. Observers are designed for every agent based on the outputs of them, furthermore, communications among agents just exist at spatial boundary position instead of at every spatial position. Some consensus criteria are derived based on fractional order Lyapunov method, which are formed as matrix inequalities. Finally, two examples are given to show the effectiveness of the theoretical results.

Keywords: Fractional order; Consensus; Parabolic PDEs; Boundary control (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077923002333
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:chsofr:v:170:y:2023:i:c:s0960077923002333

DOI: 10.1016/j.chaos.2023.113332

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().