Controllability of 2D continuous-discrete systems with delays in control

• Autorzy: Klamka J.
• Języki publikacji: EN

Abstrakty

EN

Recently, a new class of linear continuous-discrete 2D dynamical systems i.e., dynamical systems described by the indexed set of linear ordinary differential equations with appropriate initial and boundary conditions has been introduced. However, it should be mentioned that only a few papers deal with the 2D continuous-discrete linear dynamical systems with delays. In linear 2D continuous-discrete dynamical systems one independent variable is continuous and the second one is discrete. Such continuous-discrete models appear, for example, in the iterative learning control systems. Another example of such systems are the repetitive processes. In the present paper linear 2D continuous-discrete systems with multiple constant delays in the control and constant coefficients are considered. The general response formula for such 2D systems is derived. Fundamental definition of relative controllability in a given fixed rectangle is presented. Using some theorems taken from the theory of linear dynamical systems with delays in the state variable necessary and sufficient pure algebraic rank condition for relative controllability is formulated and proved. Moreover, remarks and comments on controllability of 2D linear continuous-discrete dynamical systems are given.

Słowa kluczowe

EN

controllability; linear system; 2D systems; continuous-discrete systems; delayed controls

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 1998
• Tom: Vol. 46, nr 3
• Strony: 363--373
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Klamka J.

• Institute of Automation, Silesian University of Technology, Akademicka 16, 44-100 Gliwice, Poland.