TY - JOUR
T1 - Convolution algebra of delay-differential operators and a related problem of finite spectrum assignability
AU - Gluesing-Luerssen, Heide
N1 - Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2000
Y1 - 2000
N2 - 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.
AB - 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.
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U2 - 10.1007/PL00009859
DO - 10.1007/PL00009859
M3 - Article
AN - SCOPUS:0033901858
SN - 0932-4194
VL - 13
SP - 22
EP - 40
JO - Mathematics of Control, Signals, and Systems
JF - Mathematics of Control, Signals, and Systems
IS - 1
ER -