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Research Article | Open Access

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

Junfeng Zhang( )Renjie FuYuanyuan WuBhatti Uzair Aslam
School of Information and Communication Engineering, Hainan University, Haikou, 570228, China
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Abstract

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.

CLC number: 60K15, 93C10, 93C28, 93E15

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AIMS Mathematics
Pages 31119-31141

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Cite this article:
Zhang J, Fu R, Wu Y, et al. Practical consensus of time-varying fuzzy positive multi-agent systems. AIMS Mathematics, 2024, 9(11): 31119-31141. https://doi.org/10.3934/math.20241500

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Received: 18 July 2024
Revised: 23 September 2024
Accepted: 21 October 2024
Published: 01 November 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)