Small-gain theorem for a class of abstract parabolic systems

• Autorzy: Grabowski P.

Identyfikatory

DOI

10.7494/OpMath.2018.38.5.651

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

control of infinite-dimensional systems semigroups; infinite-time LQ-control problem; Lur'e feedback systems

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2018
• Tom: Vol. 38, no. 5
• Strony: 651--680
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Grabowski P.

• AGH University of Science and Technology Institute of Control Engineering and Robotics al. Mickiewicza 30, 30-059 Krakow, Poland

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).