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

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

doi:10.3934/math.20241500

AIMS Mathematics

2024, Volume 9, Issue 11: 31119-31141. doi: 10.3934/math.20241500

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Research article Topical Sections

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

School of Information and Communication Engineering, Hainan University, Haikou, 570228, China

Received: 18 July 2024 Revised: 23 September 2024 Accepted: 21 October 2024 Published: 01 November 2024
MSC : 60K15, 93C10, 93C28, 93E15

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.
- time-varying fuzzy positive multi-agent systems,
- practical consensus,
- false data injection attacks
Citation: Junfeng Zhang, Renjie Fu, Yuanyuan Wu, Bhatti Uzair Aslam. Practical consensus of time-varying fuzzy positive multi-agent systems[J]. AIMS Mathematics, 2024, 9(11): 31119-31141. doi: 10.3934/math.20241500

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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.

References

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