International Federation of Automatic Control
3rd IFAC SYMPOSIUM on SYSTEM, STRUCTURE and CONTROL
Foz do Iguassu, Brazil October 17th - 19th, 2007
| International Federation of Automatic Control | |
Session TM2: Non-linear systems IIChair: Hebertt Sira-Ramírez - Mexico Co-chair: Jean Lévine - France Room: Montevideo 2007-10-18 From 10:00 to 12:00 | |
| On Classical State Space Realizability of Quadratic Input-Output Differential Equations Ülle Kotta; Palle Kotta; Maris Tõnso; Alan S. I. Zinober Contact: Ülle Kotta - Estonia | |
| 10:00-10:20 | |
| Abstract: | |
| This paper studies the realizability property of continuous-time quadratic i/o equations in the classical state space form. Constraints on the parameters of the quadratic i/o model are suggested that lead to realizable models. The complete list of 2nd and 3rd order realizable i/o quadartic models is given and two subclasses of realizable i/o quadratic systems are suggested. Our conditions rely basically upon the property that certain combinations of coefficients of the i/o equations are zero or not zero. We provide explicit state equations for realizable 2nd order quadratic i/o equations, and for one realizable subclass of quadratic i/o equations of arbitrary order. Copyright © 2007 IFAC. | |