Disturbance decoupling problem for a class of descriptor systems with delay via systems over rings

The disturbance decoupling problem by state feedback for descriptor systems with a finite number of commensurable point delays is formulated and investigated using as models descriptor systems with coefficients in a ring. Necessary and sufficient conditions for its solution are given in geometric te...

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Bibliographic Details
Published in:IMA journal of mathematical control and information 2010-12, Vol.27 (4), p.405-418
Main Authors: Perdon, A. M., Anderlucci, M.
Format: Article
Language:English
Subjects:
Algorithms
Decoupling
Delay
delay systems
descriptor systems
disturbance decoupling
Disturbances
geometric approach
Mathematical analysis
Mathematical models
State feedback
systems over a ring
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Description
Summary:The disturbance decoupling problem by state feedback for descriptor systems with a finite number of commensurable point delays is formulated and investigated using as models descriptor systems with coefficients in a ring. Necessary and sufficient conditions for its solution are given in geometric terms, as well as algorithmic procedures to test them. Examples are worked out in details.
ISSN:0265-0754
1471-6887
DOI:10.1093/imamci/dnq032