Exponential stability of partial primal–dual gradient dynamics with nonsmooth objective functions

10.1016/j.automatica.2021.109585 ◽

2021 ◽

Vol 129 ◽

pp. 109585

Author(s):

Zhaojian Wang ◽

Wei Wei ◽

Changhong Zhao ◽

Zhiyuan Ma ◽

Zetian Zheng ◽

...

Keyword(s):

Exponential Stability ◽

Objective Functions ◽

Gradient Dynamics ◽

Primal Dual ◽

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Semi-global exponential stability of augmented primal–dual gradient dynamics for constrained convex optimization

Systems & Control Letters ◽

10.1016/j.sysconle.2020.104754 ◽

2020 ◽

Vol 144 ◽

pp. 104754

Author(s):

Yujie Tang ◽

Guannan Qu ◽

Na Li

Keyword(s):

Convex Optimization ◽

Exponential Stability ◽

Global Exponential Stability ◽

Constrained Convex Optimization ◽

Gradient Dynamics ◽

Primal Dual ◽

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Exponential Stability of Primal-Dual Gradient Dynamics with Non-Strong Convexity

2020 American Control Conference (ACC) ◽

10.23919/acc45564.2020.9147393 ◽

2020 ◽

Author(s):

Xin Chen ◽

Na Li

Keyword(s):

Exponential Stability ◽

Strong Convexity ◽

Gradient Dynamics ◽

Primal Dual ◽

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On the Exponential Stability of Primal-Dual Gradient Dynamics

IEEE Control Systems Letters ◽

10.1109/lcsys.2018.2851375 ◽

2019 ◽

Vol 3 (1) ◽

pp. 43-48 ◽

Author(s):

Guannan Qu ◽

Na Li

Keyword(s):

Exponential Stability ◽

Gradient Dynamics ◽

Primal Dual ◽

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Primal–Dual Gradient Dynamics for Cooperative Unknown Payload Manipulation without Communication*

2020 American Control Conference (ACC) ◽

10.23919/acc45564.2020.9147267 ◽

2020 ◽

Author(s):

Tatsuya Miyano ◽

Justin Romberg ◽

Magnus Egerstedt

Keyword(s):

Gradient Dynamics ◽

Primal Dual ◽

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Global exponential stability of primal-dual gradient flow dynamics based on the proximal augmented Lagrangian: A Lyapunov-based approach

2020 59th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc42340.2020.9304313 ◽

2020 ◽

Author(s):

Dongsheng Ding ◽

Mihailo R. Jovanovic

Keyword(s):

Exponential Stability ◽

Global Exponential Stability ◽

Augmented Lagrangian ◽

Gradient Flow ◽

Flow Dynamics ◽

Primal Dual ◽

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Global exponential stability of primal-dual gradient flow dynamics based on the proximal augmented Lagrangian

2019 American Control Conference (ACC) ◽

10.23919/acc.2019.8815153 ◽

2019 ◽

Author(s):

Dongsheng Ding ◽

Mihailo R. Jovanovic

Keyword(s):

Exponential Stability ◽

Global Exponential Stability ◽

Augmented Lagrangian ◽

Gradient Flow ◽

Flow Dynamics ◽

Primal Dual ◽

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Convergence analysis for the primal-dual gradient dynamics associated with optimal power flow problems

2015 European Control Conference (ECC) ◽

10.1109/ecc.2015.7330713 ◽

2015 ◽

Author(s):

Xu Ma ◽

Nicola Elia

Keyword(s):

Convergence Analysis ◽

Optimal Power Flow ◽

Flow Problems ◽

Optimal Power ◽

Gradient Dynamics ◽

Primal Dual ◽

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Stability of primal–dual gradient dynamics and applications to network optimization

10.1016/j.automatica.2010.08.011 ◽

2010 ◽

Vol 46 (12) ◽

pp. 1974-1981 ◽

Author(s):

Diego Feijer ◽

Fernando Paganini

Keyword(s):

Network Optimization ◽

Gradient Dynamics ◽

Primal Dual ◽

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Distributed optimization via primal-dual gradient dynamics with stochastic interactions

2018 Indian Control Conference (ICC) ◽

10.1109/indiancc.2018.8307947 ◽

2018 ◽

Author(s):

Sai Pushpak ◽

Keivan Ebrahimi ◽

Umesh Vaidya

Keyword(s):

Distributed Optimization ◽

Gradient Dynamics ◽

Primal Dual ◽

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Distributed Frequency and Voltage Control for AC Microgrids based on Primal-Dual Gradient Dynamics

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2020.12.1110 ◽

2020 ◽

Vol 53 (2) ◽

pp. 12229-12236

Author(s):

Lukas Kölsch ◽

Katharina Wieninger ◽

Stefan Krebs ◽

Sören Hohmann

Keyword(s):

Voltage Control ◽

Gradient Dynamics ◽

Primal Dual ◽

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