Turnpilke property for infinite-dimensional generalized LQ problem
Optimization and Control
2024-03-13 v3
Abstract
We deduce a sufficient condition of the exponential (integral) turnpike property for infinite dimensional generalized linear-quadratic optimal control problems in terms of structural properties of the control system, such as exponential stabilizability and detectability. The proof relies on the analysis of the exponential convergence of solutions to the differential Riccati equations to the algebraic counterpart, and on a necessary condition for exponential stabilizability in terms of a closed range test.
Cite
@article{arxiv.2208.00307,
title = {Turnpilke property for infinite-dimensional generalized LQ problem},
author = {Zhuqing Li and Roberto Guglielmi},
journal= {arXiv preprint arXiv:2208.00307},
year = {2024}
}