Turnpilke property for infinite-dimensional generalized LQ problem

Autor: Li, Zhuqing, Guglielmi, Roberto
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv