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Push-Sum Based Algorithm for Constrained Convex Optimization Problem and Its Potential Application in Smart Grid

delete2022-10-01
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OA
AI
Q
Qian Xu
Z
Zao Fu
B
Bo Zou
H
Hongzhe Liu *
L
Lei Wang
DOI:10.1109/JAS.2022.105890delete
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Abstract

Abstract

En 中文
Dear Editor, This letter aims to investigate the optimization problem where the decision variable is contained in a closed convex set. By combing the gradient decent-like method with the push-sum algorithm framework, we design the distributed iterative formulas under the condition that the considered graphs sequence is time-varying and unbalanced. Under some standard assumptions on the problem setting and the decaying step-sizes, we analyze the convergence property of the generated variables sequence under the proposed iterative formulas.
Keywords:
DISTRIBUTED OPTIMIZATION
DIRECTED-GRAPHS
CONVERGENCE

Journal

I
IEEE-CAA Journal of Automatica Sinica
IF:
19.2
Papers:
1.4K
Citations:
1.1W

Organization

S
State Grid Corporation of China
Scholars:
6.5K
Papers: 5.2K
Citations: 1.7K
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err2013-07-24
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