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https://doi.org/10.53941/ams.2025.100001
Zhou, S., Yi, P., Yang, S., & Wei, Y. Singularity-Free Prescribed-Time Distributed Resource Allocation Based on Time Space Deformation. Applied Mathematics and Statistics. 2025. doi: https://doi.org/10.53941/ams.2025.100001
Volume 2, Issue 1, 2025
Copyright (c) 2025 by the authors.
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This work is licensed under a Creative Commons Attribution 4.0 International License.

Article

Singularity-Free Prescribed-Time Distributed Resource Allocation Based on Time Space Deformation

Shuaiyu Zhou 1 , Peng Yi 2 , Shaofu Yang 3 and Yiheng Wei 1,*

1 The School of Mathematics, Southeast University, Nanjing 211189, China
2 The Department of Control Science & Engineering, Tongji University, Shanghai 200092, China
3 The School of Computer Science and Engineering, Southeast University, Nanjing 211189, China
* Correspondence: neudawei@seu.edu.cn

Received: 11 February 2025; Revised: 22 March 2025; Accepted: 25 March 2025; Published: 27 March 2025

Abstract: This paper proposes a novel singularity-free prescribed-time distributed resource allocation algorithm. By scaling fixed-time systems using the time space deformation method, the proposed algorithm avoids the singularity problem caused by time-varying high-gain functions. To make the algorithm applicable to second-order multi-agent systems, a singularity-free prescribed-time signal tracking controller is also proposed. Finally, the performance of the proposed algorithm is verified through a power allocation task based on actual wind farm data.

Keywords:

distributed resource allocation prescribed-time stability singularity-free

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