Reference
D. Yue, S. Baldi, J. Cao, and B. De Schutter, "Distributed adaptive
optimization with weight-balancing,"
IEEE Transactions on
Automatic Control, vol. 67, no. 4, pp. 2068-2075, Apr. 2022.
Abstract
This paper addresses the continuous-time distributed optimization of a strictly
convex summation-separable cost function with possibly non-convex local
functions over strongly connected digraphs. Distributed optimization methods in
the literature require convexity of local functions, or balanced weights, or
vanishing step sizes, or algebraic information (eigenvalues or eigenvectors) of
the Laplacian matrix. The solution proposed here covers both weight-balanced
and unbalanced digraphs in a unified way, without any of the aforementioned
requirements.
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BibTeX
@article{YueBal:21-010,
author = {Yue, Dongdong and Baldi, Simone and Cao, Jinde and De Schutter,
Bart},
title = {Distributed Adaptive Optimization with Weight-Balancing},
journal = {IEEE Transactions on Automatic Control},
volume = {67},
number = {4},
pages = {2068--2075},
month = apr,
year = {2022}
}