Pulse and Point Optimal Control of Linear Hyperbolic Integro-Differential Systems with Mixed Boundary Conditions

Autor:	Andrii V. Anikushyn
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	integro-differential equation linear hyperbolic equation volterra operator viscoelastic media optimal control pulse control Mathematics QA1-939
Zdroj:	Journal of Optimization, Differential Equations and Their Applications, Vol 32, Iss 2, Pp 137-155 (2024)
Druh dokumentu:	article
ISSN:	2617-0108 2663-6824
DOI:	10.15421/142412
Popis:	We investigate an optimal control problem for a linear hyperbolic integrodifferential equation, subject to Robin-type boundary conditions. The control operates as an operator on the equation’s right-hand side, integrating Dirac delta functions concerning temporal or spatial variables. A priori inequalities in negative norms are established for the boundary value problem (BVP) operator. From these findings, we derive theorems on the problem’s well-posedness and the existence of optimal control across multiple scenarios, subject to specific assumptions regarding the admissible control set and the quality criterion.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/ae0a0dac4bc348b6abdfd72cd966af29 Zobrazit plný text záznamu View record in DOAJ