Turnpilke property for infinite-dimensional generalized LQ problem
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866929272317280256 |
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| author | Li, Zhuqing Guglielmi, Roberto |
| author_facet | Li, Zhuqing Guglielmi, Roberto |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_00307 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Turnpilke property for infinite-dimensional generalized LQ problem Li, Zhuqing Guglielmi, Roberto Optimization and Control 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. |
| title | Turnpilke property for infinite-dimensional generalized LQ problem |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2208.00307 |