Optimal control of infinite-dimensional dissipative systems
Optimization and Control
2026-03-26 v1 Functional Analysis
Abstract
We study the linear-quadratic optimal control problem for infinite-dimensional dissipative systems with possibly indefinite cost functional. Under the assumption that a storage function exists, we show that this indefinite optimal control problem is equivalent to a linear-quadratic optimal control problem with a nonnegative cost functional. We establish the relationship between the corresponding value functions and present the associated operator Lur'e equation. Finally, we illustrate our results with several examples.
Cite
@article{arxiv.2603.24507,
title = {Optimal control of infinite-dimensional dissipative systems},
author = {Anthony Hastir and Timo Reis},
journal= {arXiv preprint arXiv:2603.24507},
year = {2026}
}