A Minimax Optimal Controller for Positive Systems
Optimization and Control
2025-08-06 v2 Systems and Control
Systems and Control
Abstract
We present an explicit solution to the discrete-time Bellman equation for minimax optimal control of positive systems under unconstrained disturbances. The primary contribution of our result relies on deducing a bound for the disturbance penalty, which characterizes the existence of a finite solution to the problem class. Moreover, this constraint on the disturbance penalty reveals that, in scenarios where a solution is feasible, the problem converges to its equivalent minimization problem in the absence of disturbances.
Cite
@article{arxiv.2502.01180,
title = {A Minimax Optimal Controller for Positive Systems},
author = {Alba Gurpegui and Emma Tegling and Anders Rantzer},
journal= {arXiv preprint arXiv:2502.01180},
year = {2025}
}
Comments
Presented at the 26th International Symposium on Mathematical Theory of Networks and Systems (Cambridge, UK)