Practical consensus of time-varying fuzzy positive multi-agent systems

Junfeng Zhang; Renjie Fu; Yuanyuan Wu; Bhatti Uzair Aslam

doi:10.3934/math.20241500

AIMS Mathematics (Nov 2024)

Practical consensus of time-varying fuzzy positive multi-agent systems

Junfeng Zhang,
Renjie Fu,
Yuanyuan Wu,
Bhatti Uzair Aslam

Affiliations

Junfeng Zhang: School of Information and Communication Engineering, Hainan University, Haikou, 570228, China
Renjie Fu: School of Information and Communication Engineering, Hainan University, Haikou, 570228, China
Yuanyuan Wu: School of Information and Communication Engineering, Hainan University, Haikou, 570228, China
Bhatti Uzair Aslam: School of Information and Communication Engineering, Hainan University, Haikou, 570228, China

DOI: https://doi.org/10.3934/math.20241500
Journal volume & issue: Vol. 9, no. 11
pp. 31119 – 31141

Abstract

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This paper considers the practical consensus of time-varying fuzzy positive multi-agent systems. A novel error variable is introduced by adding an additional constant term. Under the framework of time-varying fuzzy copositive Lyapunov functions, a fuzzy control protocol with time-varying gain matrices is designed in terms of matrix decomposition technique. Some consensus conditions are addressed via time-varying linear programming. Moreover, the design is developed for false data injection attacks. Finally, two examples are provided for verifying the validity of the design.

Published in AIMS Mathematics

ISSN: 2473-6988 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Science: Mathematics
Website: http://www.aimspress.com/journal/Math

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