CAUSALITY IN THE FREQUENCY-DOMAIN

被引：0

作者：

ZHU, SQ

机构：

[1] Eindhoven University of Technology, Eindhoven, 5600 MB

来源：

INTERNATIONAL JOURNAL OF CONTROL | 1990年 / 52卷 / 01期

关键词：

D O I：

10.1080/00207179008953534

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A detailed proof of the following criterion of causality in the frequency domain is presented: a linear time invariant (possibly unstable) system P mapping a subspace of the Hardy space H2 into H2 is causal if and only if for any x(.) EDam (P), exp (α) x(•) ∈H2 for α > 0 implies exp (α) Px(.) ∈ H2. Some applications of this criterion and properties of the causal systems are also presented. © 1990 Taylor & Francis Ltd.

引用

页码：251 / 259

页数：9

共 7 条

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CALLIER, FM
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[3] CALLIER FM, 1978, IEEE T CIRCUITS SYST, V26, P360
[4] A NOTE ON CAUSALITY AND ANALYTICITY
FREEDMAN, MI
FALB, PL
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[6] WILLEMS JC, 1971, RES MONOGRAPH, V62
[7] SUFFICIENT CONDITIONS FOR ROBUST BIBO STABILIZATION - GIVEN BY THE GAP METRIC
ZHU, SQ
HAUTUS, MLJ
PRAAGMAN, C
[J]. SYSTEMS & CONTROL LETTERS, 1988, 11 (01) : 53 - 59

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