Multi/Single-stage structured zero-gradient-sum approach for prescribed-time optimization

Autor: Zhou, Shuaiyu, Wei, Yiheng, Cao, Jinde, Liu, Yang
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: Prescribed-time convergence mechanism has become a prominent research focus in the current field of optimization and control due to its ability to precisely control the target completion time. The recently arisen prescribed-time algorithms for distributed optimization, currently necessitate multi-stage structures to achieve global convergence. This paper introduces two modified zero-gradient-sum algorithms, each based on a multi-stage and a single-stage structural frameworks established in this work. These algorithms are designed to achieve prescribed-time convergence and relax two common yet stringent conditions. This work also bridges the gap in current research on single-stage structured PTDO algorithm. The excellent convergence performance of the proposed algorithms is validated through a case study.
Databáze: arXiv