Exponential Convergence of Primal-Dual Dynamical System for Linear Constrained Optimization

• 作者: Luyao Guo Xinli Shi Jinde Cao
• 来源期刊: 自动化学报（英文版）
• 年，卷（期）: 2022,（4）
• 所属期刊栏目: LETTERS
• 页码范围: 745-748
• 页数: 4页
• 语种: 英文
• DOI: 10.1109/JAS.2022.105485

摘要

Dear editor, Primal-dual dynamics(PDD)and its variants are prominent first-order continuous-time algorithms to determine the primal and dual solutions of a constrained optimization problem(COP).Due to the simple structure,they have received widespread attention in various fields,such as distributed optimization[1],power systems[2],and wireless communication[3].In view of their wide applications,there are numerous theoretic studies on the convergence properties of PDD and its variants,including the exponential stability analysis[4]-[9].