Szczegóły publikacji
Opis bibliograficzny
Pointwise observation of the state given by complex time lag parabolic system / Adam KOWALEWSKI // Archives of Control Sciences ; ISSN 1230-2384. — 2017 — vol. 27 iss. 1, s. 77–89. — Bibliogr. s. 88–89. — Publikacja dostępna online od: 2017-04-01
Autor
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 105770 |
|---|---|
| Data dodania do BaDAP | 2017-05-18 |
| Tekst źródłowy | URL |
| DOI | 10.1515/acsc-2017-0005 |
| Rok publikacji | 2017 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Archives of Control Sciences |
Abstract
Various optimization problems for linear parabolic systems with multiple constant time lags are considered. In this paper, we consider an optimal distributed control problem for a linear complex parabolic system in which different multiple constant time lags appear both in the state equation and in the Neumann boundary condition. Sufficient conditions for the existence of a unique solution of the parabolic time lag equation with the Neumann boundary condition 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 performance functional with pointwise observation of the state and constrained control are derived. The example of application is also provided.
