Three-dimensional discrete-time lossless bounded real functions

Minimal state-space realization

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)

Abstract

A simple technique for state-space realization of 3-dimensional discrete-time lossless bounded real functions is presented. The state-space matrices are of minimal dimension and are derived from the corresponding circuit implementation. The efficiency of the technique is due to the fact that in order to determine the 3D state-space model the circuit implementation is no longer needed because the solution is given in closed form.

Original languageEnglish
Pages (from-to)1015-1017
Number of pages3
JournalInternational Journal of Systems Science
Volume29
Issue number9
DOIs
StatePublished - 1 Jan 1998

Fingerprint

State Space
Discrete-time
Three-dimensional
Networks (circuits)
State-space Model
3D Model
Closed-form

Cite this

@article{fdbf4f148b0040e9b69c3186343a1f75,
title = "Three-dimensional discrete-time lossless bounded real functions: Minimal state-space realization",
abstract = "A simple technique for state-space realization of 3-dimensional discrete-time lossless bounded real functions is presented. The state-space matrices are of minimal dimension and are derived from the corresponding circuit implementation. The efficiency of the technique is due to the fact that in order to determine the 3D state-space model the circuit implementation is no longer needed because the solution is given in closed form.",
author = "George Antoniou",
year = "1998",
month = "1",
day = "1",
doi = "10.1080/00207729808929593",
language = "English",
volume = "29",
pages = "1015--1017",
journal = "International Journal of Systems Science",
issn = "0020-7721",
publisher = "Taylor and Francis Ltd.",
number = "9",

}

Three-dimensional discrete-time lossless bounded real functions : Minimal state-space realization. / Antoniou, George.

In: International Journal of Systems Science, Vol. 29, No. 9, 01.01.1998, p. 1015-1017.

Research output: Contribution to journalArticleResearchpeer-review

TY - JOUR

T1 - Three-dimensional discrete-time lossless bounded real functions

T2 - Minimal state-space realization

AU - Antoniou, George

PY - 1998/1/1

Y1 - 1998/1/1

N2 - A simple technique for state-space realization of 3-dimensional discrete-time lossless bounded real functions is presented. The state-space matrices are of minimal dimension and are derived from the corresponding circuit implementation. The efficiency of the technique is due to the fact that in order to determine the 3D state-space model the circuit implementation is no longer needed because the solution is given in closed form.

AB - A simple technique for state-space realization of 3-dimensional discrete-time lossless bounded real functions is presented. The state-space matrices are of minimal dimension and are derived from the corresponding circuit implementation. The efficiency of the technique is due to the fact that in order to determine the 3D state-space model the circuit implementation is no longer needed because the solution is given in closed form.

UR - http://www.scopus.com/inward/record.url?scp=0032165222&partnerID=8YFLogxK

U2 - 10.1080/00207729808929593

DO - 10.1080/00207729808929593

M3 - Article

VL - 29

SP - 1015

EP - 1017

JO - International Journal of Systems Science

JF - International Journal of Systems Science

SN - 0020-7721

IS - 9

ER -