Title :
Computation of Positive Realizations of Hybrid Linear System with Delays Using the State Variable Diagram Method
Author :
Tadeusz Kaczorek;Lukasz Sajewski
Author_Institution :
Faculty of Electrical Engineering, Bia?ystok Technical University, Poland, e-mail: kaczorek@isep.pw.edu.pl
Abstract :
The realization problem for 2D positive linear hybrid systems with delays in state vector and input is addressed. A method based on the state variable diagram for finding positive realizations of a given proper transfer function is proposed. Sufficient conditions for the existence of a positive realization of a given proper transfer function are established. A procedure for computation of a positive realization is proposed and illustrated by a numerical example.
Keywords :
"Linear systems","Delay systems","Delay lines","Transfer functions","Sufficient conditions","Thermal pollution","Water storage","Atmospheric modeling","Biological system modeling","Controllability"
Conference_Titel :
EUROCON, 2007. The International Conference on "Computer as a Tool"
Print_ISBN :
978-1-4244-0812-2
DOI :
10.1109/EURCON.2007.4400275