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 TM3: Linear Systems IIChair: Henri Bourlès - France Co-chair: Mohamed Yagoubi - France Room: Santiago 2007-10-18 From 10:00 to 12:00 | |
| Dualities in System Theory -- with Application to Delay-Differential Systems Henri Bourlès Contact: Henri Bourlès - France | |
| 11:00-11:20 | |
| Abstract: | |
| Two complete and intrinsic definitions of linear systems are existing: (i) in the behavioral approach, a linear system is the kernel B of a matrix-valued operator R in a power of a signal space W; (ii) in the module theoretic setting, a linear system is the cokernel M of R (thus, M is a finitely presented module over a ring of operators). These two formulations have connections and under certain conditions the knowledge of M is equivalent to that of B. The minimal conditions under which such an equivalence exists are investigated in this paper and the case of delay-differential and convolution systems is especially considered. Copyright © 2007 IFAC. | |