The infinite-dimensional dissipation inequality
Functional Analysis
2025-08-27 v1
Abstract
We study the dissipativity of linear infinite-dimensional systems with respect to a prescribed quadratic supply rate functional. We characterize this property via an operator inequality that also yields the system's dissipation rate. We also derive implications for the linear-quadratic optimal control problem on the nonnegative real half-line.
Cite
@article{arxiv.2508.18436,
title = {The infinite-dimensional dissipation inequality},
author = {Timo Reis},
journal= {arXiv preprint arXiv:2508.18436},
year = {2025}
}