@article {https://doi.org/10.1049/cth2.70069,
	title = {A Semigroup Framework for Turnpike Property of Infinite-Dimensional Generalized Linear-Quadratic Problems},
	journal = {IET Control Theory \& Applications},
	volume = {19},
	number = {1},
	year = {2025},
	pages = {e70069},
	abstract = {ABSTRACT We deduce a sufficient condition for 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.},
	keywords = {asymptotic stability, control system analysis, Distributed parameter systems, linear quadratic control, optimal control, Riccati equations},
	doi = {https://doi.org/10.1049/cth2.70069},
	url = {https://ietresearch.onlinelibrary.wiley.com/doi/abs/10.1049/cth2.70069},
	author = {Li, Zhuqing and Guglielmi, Roberto}
}
