Computing the L2-induced norm of a compression operator

Geir E. Dullerud

doi:10.1016/S0167-6911(99)00009-2

Computing the L₂-induced norm of a compression operator

Research output: Contribution to journal › Article › peer-review

Abstract

A new computationally viable approach is derived for computing the induced norm of a state space compression operator; that is an integral operator defined on the finite length space L₂[0, h]. Determining this norm is a crucial component in the control analysis of both delay systems and sampled-data systems. The technique developed may have application to a wider variety of integral operators.

Original language	English (US)
Pages (from-to)	87-91
Number of pages	5
Journal	Systems and Control Letters
Volume	37
Issue number	2
DOIs	https://doi.org/10.1016/S0167-6911(99)00009-2
State	Published - Jun 1999

Keywords

Compression operator
Delay systems
H-norm
Integral operators
Sampled-data systems

ASJC Scopus subject areas

Control and Systems Engineering
General Computer Science
Mechanical Engineering
Electrical and Electronic Engineering

Online availability

10.1016/S0167-6911(99)00009-2

Library availability

Discover UIUC Full Text

Cite this

@article{3d847ae6c7e6478f8f0459792f51db35,

title = "Computing the L2-induced norm of a compression operator",

abstract = "A new computationally viable approach is derived for computing the induced norm of a state space compression operator; that is an integral operator defined on the finite length space L2[0, h]. Determining this norm is a crucial component in the control analysis of both delay systems and sampled-data systems. The technique developed may have application to a wider variety of integral operators.",

keywords = "Compression operator, Delay systems, H-norm, Integral operators, Sampled-data systems",

author = "Dullerud, {Geir E.}",

year = "1999",

month = jun,

doi = "10.1016/S0167-6911(99)00009-2",

language = "English (US)",

volume = "37",

pages = "87--91",

journal = "Systems and Control Letters",

issn = "0167-6911",

publisher = "Elsevier B.V.",

number = "2",

}

TY - JOUR

T1 - Computing the L2-induced norm of a compression operator

AU - Dullerud, Geir E.

PY - 1999/6

Y1 - 1999/6

N2 - A new computationally viable approach is derived for computing the induced norm of a state space compression operator; that is an integral operator defined on the finite length space L2[0, h]. Determining this norm is a crucial component in the control analysis of both delay systems and sampled-data systems. The technique developed may have application to a wider variety of integral operators.

AB - A new computationally viable approach is derived for computing the induced norm of a state space compression operator; that is an integral operator defined on the finite length space L2[0, h]. Determining this norm is a crucial component in the control analysis of both delay systems and sampled-data systems. The technique developed may have application to a wider variety of integral operators.

KW - Compression operator

KW - Delay systems

KW - H-norm

KW - Integral operators

KW - Sampled-data systems

UR - http://www.scopus.com/inward/record.url?scp=0003142412&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0003142412&partnerID=8YFLogxK

U2 - 10.1016/S0167-6911(99)00009-2

DO - 10.1016/S0167-6911(99)00009-2

M3 - Article

AN - SCOPUS:0003142412

SN - 0167-6911

VL - 37

SP - 87

EP - 91

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 2

ER -