- Tytuł:
- Small-gain theorem for a class of abstract parabolic systems
- Autorzy:
- Grabowski, P.
- Powiązania:
- https://bibliotekanauki.pl/articles/255288.pdf
- Data publikacji:
- 2018
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
control of infinite-dimensional systems semigroups
infinite-time LQ-control problem
Lur'e feedback systems - Opis:
- We consider a class of abstract control system of parabolic type with observation which the state, input and output spaces are Hilbert spaces. The state space operator is assumed to generate a linear exponentially stable analytic semigroup. An observation and control action are allowed to be described by unbounded operators. It is assumed that the observation operator is admissible but the control operator may be not. Such a system is controlled in a feedback loop by a controller with static characteristic being a globally Lipschitz map from the space of outputs into the space of controls. Our main interest is to obtain a perturbation theorem of the small-gain-type which guarantees that null equilibrium of the closed-loop system will be globally asymptotically stable in Lyapunov's sense.
- Źródło:
-
Opuscula Mathematica; 2018, 38, 5; 651-680
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł