Constrained Controllability of Dynamic Systems

• Autorzy: Klamka J.
• Języki publikacji: EN

Abstrakty

EN

The present paper is devoted to a study of constrained controllability and controllability for linear dynamic systems if the controls are taken to be non-negative. By analogy to the usual definition of controllability it is possible to introduce the concept of positive controllability. Weshall concentrate on approximate positive controllability for linear infinite-dimensional dynamic systems when the values of controls are taken from a positive closed convex cone and the operator of the system is normal and has pure discrete point spectrum. Special attention is paid to positive infinite-dimensional linear dynamic systems. General approximate constrained controllability results are then applied to distributed-parameter dynamic systems described by linear partial-differential equations of parabolic type with various kinds of boundary conditions. Several remarks and comments on the relationships between different concepts of controllability are given. Finally, a simple illustrative example is also presented.

Słowa kluczowe

EN

constrained controllability; infinite-dimensional systems; distributed-parameter systems; positive dynamic systems

PL

sterowność wymuszona; system nieskończenie wymiarowy; system z rozproszonymi parametrami; system dynamiczny dodatni

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 1999
• Tom: Vol. 9, no 2
• Strony: 231--244
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Klamka J.

• Institute of Automatic Control Silesian University of Technology ul. Akademicka 16, 44-100 Gliwice, Poland,