scholarly journals System Equivalence for AR-Systems over Rings—with an Application to Delay-Differential Systems

1999 ◽  
Vol 12 (3) ◽  
pp. 219-244 ◽  
Author(s):  
L. C. G. J. M. Habets
Keyword(s):  
Differential Systems ◽  
Systems Over Rings ◽  
Delay Differential Systems ◽  
System Equivalence ◽  
Delay Differential

scholarly journals Equivalence and Reduction of Delay-Differential Systems

2007 ◽  
Vol 17 (1) ◽  
pp. 15-22 ◽  
Author(s):  
Mohamed Boudellioua
Keyword(s):  
Direct Method ◽  
Polynomial System ◽  
Original System ◽  
Neutral Delay ◽  
Differential Systems ◽  
First Order ◽  
Order Form ◽  
Delay Differential Systems ◽  
System Equivalence ◽  
Delay Differential

Equivalence and Reduction of Delay-Differential SystemsA new direct method is presented which reduces a given high-order representation of a control system with delays to a first-order form that is encountered in the study of neutral delay-differential systems. Using the polynomial system description (PMD) setting due to Rosenbrock, it is shown that the transformation connecting the original PMD with the first-order form is Fuhrmann's strict system equivalence. This type of system equivalence leaves the transfer function and other relevant structural properties of the original system invariant.

Sign in / Sign up

Export Citation Format

Share Document