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arXiv · 1702.01492

Distributed sub-optimal resource allocation over weight-balanced graph via singular perturbation

Shu Liang·Xianlin Zeng·Yiguang Hong
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Abstract

In this paper, we consider distributed optimization design for resource allocation problems over weight-balanced graphs. With the help of singular perturbation analysis, we propose a simple sub-optimal continuous-time optimization algorithm. Moreover, we prove the existence and uniqueness of the algorithm equilibrium, and then show the convergence with an exponential rate. Finally, we verify the sub-optimality of the algorithm, which can approach the optimal solution as an adjustable parameter tends to zero.

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Shu Liang, Xianlin Zeng, Yiguang Hong. 2017-02-06. Distributed sub-optimal resource allocation over weight-balanced graph via singular perturbation. https://doi.org/10.1016/j.automatica.2018.05.013

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