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

作　　者：Luyao Guo Xinli Shi Jinde Cao 

机构地区：[1]the School of Mathematics,Southeast University [2]IEEE [3]School of Cyber Science&Engineering,Southeast University [4]School of Mathematics,Frontiers Science Center for Mobile Information Communication and Security,Southeast University [5]Purple Mountain Laboratories [6]Yonsei Frontier Laboratory,Yonsei University

出　　处：《IEEE/CAA Journal of Automatica Sinica》2022年第4期745-748,共4页自动化学报（英文版）

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].

关 键 词：Primal OPTIMIZATION CONVERGENCE 

分 类 号：O224[理学—运筹学与控制论] O19[理学—数学]