Title
A Convolution Algebra of Delay-Differential Operators and a Related Problem of Finite Spectrum Assignability
Abstract
.   In this paper we investigate a ring of delay-differential operators, which appears in the study of time-delay systems with commensurate point delays. Besides point-delay differential operators, this ring also contains certain distributed delays. It can be described as a certain algebraic extension of the ring of point-delay differential operators as well as a convolution algebra of compact support distributions. It will be shown that the finite spectrum assignability problem can be solved for spectrally controllable systems with controllers from this algebra.
Year
DOI
Venue
2000
10.1007/PL00009859
MCSS
Keywords
Field
DocType
Key words. Delay-differential systems,Behaviors,Finite spectrum assignability,Coefficient assignability,Realization.
Algebra,Convolution,Differential operator,Algebraic extension,Operator (computer programming),Operator theory,Mathematics
Journal
Volume
Issue
ISSN
13
1
0932-4194
Citations 
PageRank 
References 
1
0.39
3
Authors
2
Name
Order
Citations
PageRank
Heide Gluesing-Luerssen16912.81
Fachbereich Mathematik231265.51