On the induced norms of discrete-time and hybrid time-varying systems

Pablo A. Iglesias; Marc A. Peters

doi:10.1002/(SICI)1099-1239(199709)7:9<811::AID-RNC231>3.0.CO;2-F

On the induced norms of discrete-time and hybrid time-varying systems

Pablo A. Iglesias, Marc A. Peters

Whiting School of Engineering

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

9 Scopus citations

Abstract

Characterizations for the induced norms of two types of systems are considered. It is first shown that the induced l₂ norm of a discrete-time linear time-varying system may be characterized by the existence requirement on solutions to operator algebraic Riccati equations. A similar result is derived for systems that arise in sampled-data systems involving a mixture of continuous and discrete-time signals.

Original language	English (US)
Pages (from-to)	811-833
Number of pages	23
Journal	International Journal of Robust and Nonlinear Control
Volume	7
Issue number	9
DOIs	https://doi.org/10.1002/(SICI)1099-1239(199709)7:9<811::AID-RNC231>3.0.CO;2-F
State	Published - Sep 1997

Keywords

Discrete-time
Operator norms
Sampled-data systems
Spectral factorizations
Time-varying systems

ASJC Scopus subject areas

Control and Systems Engineering
Chemical Engineering(all)
Biomedical Engineering
Aerospace Engineering
Mechanical Engineering
Industrial and Manufacturing Engineering
Electrical and Electronic Engineering

Access to Document

10.1002/(SICI)1099-1239(199709)7:9<811::AID-RNC231>3.0.CO;2-F

Cite this

@article{9cd9db1d25184702bee4c317984d9a73,

title = "On the induced norms of discrete-time and hybrid time-varying systems",

abstract = "Characterizations for the induced norms of two types of systems are considered. It is first shown that the induced l2 norm of a discrete-time linear time-varying system may be characterized by the existence requirement on solutions to operator algebraic Riccati equations. A similar result is derived for systems that arise in sampled-data systems involving a mixture of continuous and discrete-time signals.",

keywords = "Discrete-time, Operator norms, Sampled-data systems, Spectral factorizations, Time-varying systems",

author = "Iglesias, {Pablo A.} and Peters, {Marc A.}",

year = "1997",

month = sep,

doi = "10.1002/(SICI)1099-1239(199709)7:9<811::AID-RNC231>3.0.CO;2-F",

language = "English (US)",

volume = "7",

pages = "811--833",

journal = "International Journal of Robust and Nonlinear Control",

issn = "1049-8923",

publisher = "John Wiley and Sons Ltd",

number = "9",

}

TY - JOUR

T1 - On the induced norms of discrete-time and hybrid time-varying systems

AU - Iglesias, Pablo A.

AU - Peters, Marc A.

PY - 1997/9

Y1 - 1997/9

N2 - Characterizations for the induced norms of two types of systems are considered. It is first shown that the induced l2 norm of a discrete-time linear time-varying system may be characterized by the existence requirement on solutions to operator algebraic Riccati equations. A similar result is derived for systems that arise in sampled-data systems involving a mixture of continuous and discrete-time signals.

AB - Characterizations for the induced norms of two types of systems are considered. It is first shown that the induced l2 norm of a discrete-time linear time-varying system may be characterized by the existence requirement on solutions to operator algebraic Riccati equations. A similar result is derived for systems that arise in sampled-data systems involving a mixture of continuous and discrete-time signals.

KW - Discrete-time

KW - Operator norms

KW - Sampled-data systems

KW - Spectral factorizations

KW - Time-varying systems

UR - http://www.scopus.com/inward/record.url?scp=0031235488&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031235488&partnerID=8YFLogxK

U2 - 10.1002/(SICI)1099-1239(199709)7:9<811::AID-RNC231>3.0.CO;2-F

DO - 10.1002/(SICI)1099-1239(199709)7:9<811::AID-RNC231>3.0.CO;2-F

M3 - Article

AN - SCOPUS:0031235488

VL - 7

SP - 811

EP - 833

JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

SN - 1049-8923

IS - 9

ER -

On the induced norms of discrete-time and hybrid time-varying systems

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this