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

被引:6
作者
Guo, Luyao [1 ]
Shi, Xinli [2 ]
Cao, Jinde [3 ,4 ,5 ]
机构
[1] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China
[2] Southeast Univ, Sch Cyber Sci & Engn, Nanjing 210096, Peoples R China
[3] Southeast Univ, Sch Math, Frontiers Sci Ctr Mobile Informat Commun & Secur, Nanjing 210096, Peoples R China
[4] Purple Mt Labs, Nanjing 211111, Peoples R China
[5] Yonsei Univ, Yonsei Frontier Lab, Seoul 03722, South Korea
基金
中国国家自然科学基金;
关键词
CONVEX-OPTIMIZATION; COORDINATION; ALGORITHMS;
D O I
10.1109/JAS.2022.105485
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
引用
收藏
页码:745 / 748
页数:4
相关论文
共 18 条
  • [1] Linear convergence of primal-dual gradient methods and their performance in distributed optimization
    Alghunaim, Sulaiman A.
    Sayed, Ali H.
    [J]. AUTOMATICA, 2020, 117
  • [2] Asymptotic behavior analysis on multivalued evolution inclusion with projection in Hilbert space
    Bian, Wei
    Xue, Xiaoping
    [J]. OPTIMIZATION, 2015, 64 (04) : 853 - 875
  • [3] Chen X, 2020, P AMER CONTR CONF, P1612, DOI [10.23919/acc45564.2020.9147393, 10.23919/ACC45564.2020.9147393]
  • [4] Distributed Coordination for Nonsmooth Convex Optimization via Saddle-Point Dynamics
    Cortes, Jorge
    Niederlaender, Simon K.
    [J]. JOURNAL OF NONLINEAR SCIENCE, 2019, 29 (04) : 1247 - 1272
  • [5] Fixed-Time Stable Gradient Flows: Applications to Continuous-Time Optimization
    Garg, Kunal
    Panagou, Dimitra
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 66 (05) : 2002 - 2015
  • [6] Distributed Continuous-Time Convex Optimization on Weight-Balanced Digraphs
    Gharesifard, Bahman
    Cortes, Jorge
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (03) : 781 - 786
  • [7] Distributed convex optimization via continuous-time coordination algorithms with discrete-time communication
    Kia, Solmaz S.
    Cortes, Jorge
    Martinez, Sonia
    [J]. AUTOMATICA, 2015, 55 : 254 - 264
  • [8] Distributed Resource Allocation via Accelerated Saddle Point Dynamics
    Lin, Wen-Ting
    Wang, Yan-Wu
    Li, Chaojie
    Yu, Xinghuo
    [J]. IEEE-CAA JOURNAL OF AUTOMATICA SINICA, 2021, 8 (09) : 1588 - 1599
  • [9] A Second-Order Multi-Agent Network for Bound-Constrained Distributed Optimization
    Liu, Qingshan
    Wang, Jun
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (12) : 3310 - 3315
  • [10] Linear convergence of first order methods for non-strongly convex optimization
    Necoara, I.
    Nesterov, Yu.
    Glineur, F.
    [J]. MATHEMATICAL PROGRAMMING, 2019, 175 (1-2) : 69 - 107