Fixed-Time Distributed Strategy for Constrained Optimization

• 成果类型: Article
• 署名作者: Zou, Yao; Wang, Wei; Xia, Kewei; Zuo, Zongyu; Ding, Zhengtao
• 署名单位: University of Science & Technology Beijing; University of Science & Technology Beijing; University of Science & Technology Beijing; Beijing Institute of Technology; Beijing Institute of Technology; Beihang University; University of Manchester
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2025.3624904
• 发表日期: 2026
• 关键词: algorithm

摘要

This article focuses on the distributed strategy synthesis to tackle the collaborative optimization problem subject to general set constraints in fixed time. Distinct from the traditional collaborative optimization problem that requires local value functions and their sum being convex, no convexity requirement is essential herein. Besides, the underlying communication network is switching. By bringing in appropriate auxiliary mechanism, a fixed-time distributed optimization strategy is synthesized first. Then, under the assumptions that the sum of the local value functions is gradient dominated and the communication topology keeps connected, it is demonstrated that the synthesized distributed strategy in terms of proper parameter criteria is capable of calculating the expected optimal solution to the studied constrained optimization problem in initialization-free fixed time. Finally, examples are simulated to confirm the theoretical results.