Strict dissipativity for generalized linear-quadratic problems in infinite dimensions
Optimization and Control
2022-02-17 v1
Abstract
We analyze strict dissipativity of generalized linear quadratic optimal control problems on Hilbert spaces. Here, the term ``generalized'' refers to cost functions containing both quadratic and linear terms. We characterize strict pre-dissipativity with a quadratic storage function via coercivity of a particular Lyapunov-like quadratic form. Further, we show that under an additional algebraic assumption, strict pre-dissipativity can be strengthened to strict dissipativity. Last, we relate the obtained characterizations of dissipativity with exponential detectability.
Cite
@article{arxiv.2202.08178,
title = {Strict dissipativity for generalized linear-quadratic problems in infinite dimensions},
author = {Lars Grüne and Friedrich Philipp and Manuel Schaller},
journal= {arXiv preprint arXiv:2202.08178},
year = {2022}
}
Comments
12 pages