Extended Zero-Gradient-Sum Approach for Constrained Distributed Optimization with Free Initialization

Autor:	Shi, Xinli, Yu, Xinghuo, Wen, Guanghui, Xu, Xiangping
Rok vydání:	2023
Předmět:	Mathematics - Optimization and Control
Druh dokumentu:	Working Paper
Popis:	This paper proposes an extended zero-gradient-sum (EZGS) approach for solving constrained distributed optimization (DO) with free initialization. A Newton-based continuous-time algorithm (CTA) is first designed for general constrained optimization and then extended to solve constrained DO based on the EZGS method. It is shown that for typical consensus protocols, the EZGS CTA can achieve the performance with exponential/finite/fixed/prescribed-time convergence. Particularly, the nonlinear consensus protocols for finite-time EZGS algorithms can have heterogeneous power coefficients. The prescribed-time EZGS dynamics is continuous and uniformly bounded, which can achieve the optimal solution in one stage. Moreover, the barrier method is employed to tackle the inequality constraints. Finally, the performance of the proposed algorithms is verified by numerical examples. Comment: This work has been submitted to the IEEE for possible publication. Copyright may be transferred without notice, after which this version may no longer be accessible
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2308.13743 Zobrazit plný text záznamu View this record from Arxiv