Convergence Analysis of a Distributed Optimization Algorithm with a General Unbalanced Directed Communication Network

• Published in: IEEE transactions on network science and engineering Vol. 6; no. 3; pp. 237 - 248
• Main Authors: Li, Huaqing, Lu, Qingguo, Huang, Tingwen
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 01.07.2019; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Communication; Communication networks; Communications networks; Constraints; Convergence; Convexity; Coupling; Couplings; Distributed constrained optimization; Economic models; Linear programming; Load management; Mathematical analysis; Optimization; Power systems; primal-dual (sub)gradient algorithm; Smoothness; unbalanced directed network; uncoordinated step-sizes; Upper bounds

In this paper, we discuss a class of distributed constrained optimization problems in power systems where the target is to optimize the sum of all agents’ local convex objective functions over a general unbalanced directed communication network. Each local convex objective function is known exclusiv...