Containment control for fractional‐order multi‐agent systems with mixed time delays

This paper offers a simple and reliable method to handle containment control for fractional‐order multi‐agent systems (FOMASs) with mixed time delays. Applying graph theory and fractional Razumikhin technique, some algebraic conditions are proposed by adopting non‐delayed and delayed protocols, resp...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2023-02, Vol.46 (3), p.3176-3186
Main Authors: Liu, Song, Fu, Xinyu, Zhao, Xiao‐Wen, Pang, Denghao
Format: Article
Language:English
Subjects:
Containment
containment control
Control systems
fractional‐order multi‐agent system
Graph theory
mixed time delay
Razumikhin technique
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Summary:This paper offers a simple and reliable method to handle containment control for fractional‐order multi‐agent systems (FOMASs) with mixed time delays. Applying graph theory and fractional Razumikhin technique, some algebraic conditions are proposed by adopting non‐delayed and delayed protocols, respectively. The proposed method can deal with well the troubles and difficulties arising from time delays and fractional derivatives. Finally, an illustrative example further clarifies the reliability and validity of our results.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.8002