Controllability of second-order semilinear infinite-dimensional dynamical systems

• Autorzy: Klamka J.
• Języki publikacji: EN

Abstrakty

EN

In the paper, the approximate controllability of semilinear abstract second-order infinite-dimensional dynamical systems is considered. It is proved by using the frequency-domain and functional-analysis methods that the approximate controllability of second-order semilinear dynamical system can be verified by the approximate controllability conditions for a simplified suitably-defined firstorder linear dynamical system. General results are then applied to a semilinear mechanical flexible-structure vibratory dynamical system. Some special cases are also considered. Moreover, remarks and comments on the relationships between different concepts of controllability are given. The paper extends the results presented in (Klamka, 1992; Triggiani, 1978) to a more generaI class of second-order abstract dynamical systems.

Słowa kluczowe

EN

controllability; infinite-dimensional systems; dynamical system

PL

sterowność; system nieskończenie wymiarowy; system dynamiczny

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: Applied Mathematics and Computer Science
• Rocznik: 1998
• Tom: Vol. 8, no 3
• Strony: 459--470
• Opis fizyczny: Bibliogr. 29 poz.

Twórcy

autor

Klamka J.

• Institute of Automation, Technical University, ul. Akademicka 16, 44-100 Gliwice, Poland,