A convolution algebra of delay-differential operators and a related problem of finite spectrum assignability

被引：3
|
作者：
Gluesing-Luerssen, H [1 ]
机构：
[1] Univ Oldenburg, Fachbereich Math, D-26111 Oldenburg, Germany
来源：
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2000年 / 13卷 / 01期
关键词：
delay-differential systems; behaviors; finite spectrum assignability; coefficient assignability; realization;
D O I：
10.1007/PL00009859
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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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页码：22 / 40
页数：19
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