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

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

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

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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.

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KW - Operator norms

KW - Sampled-data systems

KW - Spectral factorizations

KW - Time-varying systems

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

Abstract

Keywords

ASJC Scopus subject areas

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