Optimal Synthesis Control for Evolution Equations Subject to Nonlocal Inputs

• Published in: Journal of optimization theory and applications Vol. 205; no. 2; p. 37
• Main Authors: Acquistapace, Paolo, Bucci, Francesca
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.05.2025; Springer Nature B.V
• Subjects: Applications of Mathematics; Calculus of Variations and Optimal Control; Optimization; Closed loops; Differential equations; Engineering; Mathematics; Mathematics and Statistics; Operations Research/Decision Theory; Optimal control; Optimization; Theory of Computation; 35R09; 93C23; Linear quadratic problem; Closed-loop optimal control; Riccati equation; 49N35; Optimal synthesis; Evolution equations with memory; 49N10
• ISSN: 0022-3239; 1573-2878
• DOI: 10.1007/s10957-025-02661-0

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 equation...