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.
引用
收藏
页码：22 / 40
页数：19
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