Szczegóły publikacji
Opis bibliograficzny
The LQ/KYP problem for infinite-dimensional systems / Piotr GRABOWSKI // Opuscula Mathematica ; ISSN 1232-9274. — Tytuł poprz.: Scientific Bulletins of Stanisław Staszic Academy of Mining and Metallurgy. Opuscula Mathematica. — 2017 — vol. 37 no. 1, s. 21–64. — Bibliogr. s. 63–64, Abstr. — Spectral Theory and Applications STA2015, 26–30.05.2015, Kraków, Poland
Autor
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 103050 |
|---|---|
| Data dodania do BaDAP | 2017-04-05 |
| Tekst źródłowy | URL |
| DOI | 10.7494/OpMath.2017.37.1.21 |
| Rok publikacji | 2017 |
| Typ publikacji | referat w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Opuscula Mathematica : rocznik Akademii Górniczo-Hutniczej im. Stanisława Staszica |
Abstract
Our aim is to present a solution to a general linear-quadratic (LQ) problem as well as to a Kalman-Yacubovich-Popov (KYP) problem for infinite-dimensional systems with bounded operators. The results are then applied, via the reciprocal system approach, to the question of solvability of some Lur'e resolving equations arising in the stability theory of infinite-dimensional systems in factor form with unbounded control and observation operators. To be more precise the Lur'e resolving equations determine a Lyapunov functional candidate for some closed-loop feedback systems on the base of some properties of an uncontrolled (open-loop) system. Our results are illustrated in details by an example of a temperature of a rod stabilization automatic control system.
