Curvature- and Torsion-Based Consensus for the Markovian Switching Multiagent System with Communication of Noise Disturbance and Time Delay | Zendy

Jinping Mou | Zendy; Dongbing Tong | Zendy; Shao Xian-yi | Zendy; Huafeng Ge | Zendy; Yiling Lv | Zendy

Open Access

Curvature- and Torsion-Based Consensus for the Markovian Switching Multiagent System with Communication of Noise Disturbance and Time Delay

Author(s) -

Jinping Mou,

Dongbing Tong,

Shao Xian-yi,

Huafeng Ge,

Yiling Lv

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/9028591

Subject(s) - curvature , multi agent system , control theory (sociology) , consensus , torsion (gastropod) , computer science , consensus algorithm , mathematics , algorithm , artificial intelligence , geometry , medicine , control (management) , surgery

This paper investigates the consensus problem for the distributed multiagent system (MAS), where the trajectory of each agent is displayed by curvature and torsion, and the communication behaviors among agents are influenced by time delay and corrupted by noises. According to the Frenet–Serret formulas, a class of consensus protocols is designed for all agents, and a closed-loop system is obtained. Based on the Lyapunov method, several consensus criteria are derived, where the consensus criteria are characterized by curvature functions and torsion functions. Finally, one example shows the reliability of the proposed methods.

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