Optimal Synthesis Control for Evolution Equations Subject to Nonlocal Inputs

Paolo Acquistapace () and Francesca Bucci ()
Additional contact information
Paolo Acquistapace: Università di Pisa
Francesca Bucci: Università degli Studi di Firenze

Journal of Optimization Theory and Applications, 2025, vol. 205, issue 2, No 18, 32 pages

Abstract: Abstract We consider the linear quadratic (LQ) optimal control problem for a class of evolution equations in infinite dimensions, in the presence of distributed and nonlocal inputs. Following a perspective akin to the one taken in our previous research work on the LQ problem for integro-differential equations—which combines a variational approach to the minimization problem with the consideration of a suitably enlarged state space—we offer a full (closed-loop, Riccati-based) solution to the optimization problem.

Keywords: Evolution equations with memory; Linear quadratic problem; Optimal synthesis; Closed-loop optimal control; Riccati equation; 49N10; 35R09; 93C23; 49N35 (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-025-02661-0 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:205:y:2025:i:2:d:10.1007_s10957-025-02661-0

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-025-02661-0

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().