A unified analytical framework for a class of optimal control problems on networked systems
Optimization and Control
2021-06-17 v1 Systems and Control
Systems and Control
Abstract
We consider a class of optimal control problems on networks that generically permits a reduction to a universal set of reference problems without differential constraints that may be solved analytically. The derivation shows that input homogeneity across the network results in universally constant optimal control inputs. These predictions are validated using numerical analysis of problems of synchronization of coupled phase oscillators and spreading dynamics on time-varying networks.
Keywords
Cite
@article{arxiv.2001.04906,
title = {A unified analytical framework for a class of optimal control problems on networked systems},
author = {Mingwu Li and Harry Dankowicz},
journal= {arXiv preprint arXiv:2001.04906},
year = {2021}
}