A Semigroup Framework for Turnpike Property of Infinite‐Dimensional Generalized Linear‐Quadratic Problems
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.
Authors
- Zhuqing Li (ORCID: https://orcid.org/0009-0004-0005-4313)
- Roberto Guglielmi (ORCID: https://orcid.org/0000-0002-4443-2695)
Institutions
- University of Waterloo (CA)
- University of California San Diego (US)
Publication Details
- Journal
- IET Control Theory and Applications
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1049/cth2.70069
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Natural Sciences and Engineering Research Council of Canada