KERNEL REPRESENTATION AND PROPERTIES OF DISCRETE-TIME INPUT-OUTPUT SYSTEMS

被引：7
作者：
KISHORE, AP
PEARSON, JB
机构：
[1] Department of Electrical, Computer Engineering Rice University Houston
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 1994年 / 206卷
关键词：
D O I：
10.1016/0024-3795(94)90373-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Discrete-time systems in a formal input-output setting are considered. Weak linearity, weak shift invariance, and weak nonanticipation are defined. The often overlooked fact that linear systems may not have a kernel representation is pointed out. Necessary and sufficient conditions for kernel representation on l(p) spaces are given. It is shown that a linear system can have infinitely many kernel representations and that properties such as nonanticipation, shift invariance, and boundedness need not be reflected in the structure of a kernel representation. It is argued that a system is logically distinct from a parametric representation of itself.
引用
收藏
页码：893 / 908
页数：16
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