Szczegóły publikacji
Opis bibliograficzny
Pointwise observation of the state given by parabolic system with boundary condition involving multiple time delays / Adam KOWALEWSKI // Archives of Control Sciences ; ISSN 1230-2384. — 2016 — vol. 26 no. 2, s. 189–197. — Bibliogr. s. 196–197
Autor
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 101412 |
|---|---|
| Data dodania do BaDAP | 2016-10-17 |
| Tekst źródłowy | URL |
| DOI | 10.1515/acsc-2016-0011 |
| Rok publikacji | 2016 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Archives of Control Sciences |
Abstract
Various optimization problems for linear parabolic systems with multiple constant time delays are considered. In this paper, we consider an optimal distributed control problem for a linear parabolic system in which multiple constant time delays appear in the Neumann boundary condition. Sufficient conditions for the existence of a unique solution of the parabolic equation with the Neumann boundary condition involving multiple time delays are proved. The time horizon T is fixed. Making use of the Lions scheme [13], necessary and sufficient conditions of optimality for the Neumann problem with the quadratic cost function with pointwise observation of the state and constrained control are derived.
