scholarly journals System equivalence for AR-systems over rings

1997 ◽  
Author(s):  
L. C. G. J. M. Habets
Keyword(s):  
Systems Over Rings ◽  
System Equivalence

scholarly journals Eliminating Impulse for Descriptor System by Derivative Output Feedback

2014 ◽  
Vol 2014 ◽  
pp. 1-15
Author(s):  
Jian Li ◽  
Yufa Teng ◽  
Qingling Zhang ◽  
Jinghao Li ◽  
Liang Qiao
Keyword(s):  
Output Feedback ◽  
Closed Loop ◽  
Sufficient Conditions ◽  
Descriptor System ◽  
Closed Loop System ◽  
Feedback Controllers ◽  
Matrix Pencils ◽  
System Equivalence ◽  
Dynamical Order ◽  
Theoretical Results

The problem of impulse elimination for descriptor system by derivative output feedback is investigated in this paper. Based on a novelly restricted system equivalence between matrix pencils, the range of dynamical order of the resultant closed loop descriptor system is given. Then, for the different dynamical order, sufficient conditions for the existence of derivative output feedback to ensure the resultant closed loop system to be impulse free are derived, and the corresponding derivative output feedback controllers are provided. Finally, simulation examples are given to show the consistence with the theoretical results obtained in this paper.

scholarly journals Duality for linear systems over rings

1981 ◽  
Vol 50 (1) ◽  
pp. 85-90
Author(s):  
G. Naud ◽  
C. Nolte
Keyword(s):  
Linear Systems ◽  
Systems Over Rings

FEEDBACK INVARIANCE AND INJECTION INVARIANCE FOR SYSTEMS OVER RINGS

2002 ◽  
Vol 35 (1) ◽  
pp. 107-112 ◽  
Author(s):  
J. Assan ◽  
JF. Lafay ◽  
A.M. Perdon
Keyword(s):  
Systems Over Rings ◽  
Feedback Invariance
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