On the circle criterion for boundary control systems in factor form

• Autorzy: Grabowski, P.
• Języki publikacji: EN

Abstrakty

EN

In this paper we return to the origins of the circle criterion initiated by Irwin Sandberg nearly forthy years ago. A version of the Leray-Schauder alternative is applied to get an existence of an abstract Hammerstein output equation for the closed-loop system. This existence result completes Sandberg's method based on using the Banach fixed-point theorem. It is shown that the assertion of the circle criterion can be strengthened by adding a characterization of an asymptotic behaviour of the state trajectories. Results are being compared with a recent version of the circle criterion for boundary control systems in factor form. Some prospects for further studies are also suggested.

Słowa kluczowe

EN

infinite-dimensional control systems; semigroups; Lyapunov functionals; circle criterion

• Czasopismo: Opuscula Mathematica
• Rocznik: 2003
• Tom: Vol. 23
• Strony: 25-47
• Opis fizyczny: Bibliogr. 33 poz., rys.

Twórcy

autor

Grabowski, P.

• Institute of Automatics, AGH University of Science and Technology, Cracow, Poland,

Bibliografia

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