International Federation of Automatic Control
3rd IFAC SYMPOSIUM on SYSTEM, STRUCTURE and CONTROL

Foz do Iguassu, Brazil October 17th - 19th, 2007

Thursday Morning

Session TM2: Non-linear systems II


Chair: Hebertt Sira-Ramírez - Mexico
Co-chair: Jean Lévine - France
Room: Montevideo
2007-10-18
From 10:00 to 12:00
State-Space Realization of Nonlinear Input-Output Delta Differential Equations on Homogeneous Time Scales
Daniele Casagrande; Ülle Kotta; Malgorzata Wyrwas
Contact: Daniele Casagrande - Italy
11:20-11:40
Abstract:
The realization problem for single-input single-output nonlinear delta differential systems is studied through the language of differential forms. Necessary and sufficient conditions are given for the existence of a state-space realization of the nonlinear input-output delta differential equation, i.e. a high order delta differential equation relating the input, the output and a finite number of their delta-derivatives. The sufficiency part of the proof gives a constructive procedure (up to the integration of one-forms) for obtaining an observable state-space system. Copyright © 2007 IFAC.