Equivalence of linear time-invariant dynamical systems

B. D.O. Anderson; R. W. Newcomb; R. E. Kalman; D. C. Youla

doi:10.1016/0016-0032(66)90298-5

Equivalence of linear time-invariant dynamical systems

B. D.O. Anderson^*, R. W. Newcomb, R. E. Kalman, D. C. Youla

^*Corresponding author for this work

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

15 Citations (Scopus)

Abstract

Using constant transformations and matrix embeddings it is shown how to find all constant realizations of an arbitrary rational transfer function matrix. Explicit means of calculating the transformations are given and the theory is applied to finding essentially all equivalent networks.

Original language	English
Pages (from-to)	371-378
Number of pages	8
Journal	Journal of the Franklin Institute
Volume	281
Issue number	5
DOIs	https://doi.org/10.1016/0016-0032(66)90298-5
Publication status	Published - May 1966
Externally published	Yes

Access to Document

10.1016/0016-0032(66)90298-5

Cite this

@article{51991a5b59ad4a74a57e5398e604914d,

title = "Equivalence of linear time-invariant dynamical systems",

abstract = "Using constant transformations and matrix embeddings it is shown how to find all constant realizations of an arbitrary rational transfer function matrix. Explicit means of calculating the transformations are given and the theory is applied to finding essentially all equivalent networks.",

author = "Anderson, {B. D.O.} and Newcomb, {R. W.} and Kalman, {R. E.} and Youla, {D. C.}",

year = "1966",

month = may,

doi = "10.1016/0016-0032(66)90298-5",

language = "English",

volume = "281",

pages = "371--378",

journal = "Journal of the Franklin Institute",

issn = "0016-0032",

publisher = "Elsevier Ltd.",

number = "5",

}

TY - JOUR

T1 - Equivalence of linear time-invariant dynamical systems

AU - Anderson, B. D.O.

AU - Newcomb, R. W.

AU - Kalman, R. E.

AU - Youla, D. C.

PY - 1966/5

Y1 - 1966/5

N2 - Using constant transformations and matrix embeddings it is shown how to find all constant realizations of an arbitrary rational transfer function matrix. Explicit means of calculating the transformations are given and the theory is applied to finding essentially all equivalent networks.

AB - Using constant transformations and matrix embeddings it is shown how to find all constant realizations of an arbitrary rational transfer function matrix. Explicit means of calculating the transformations are given and the theory is applied to finding essentially all equivalent networks.

UR - http://www.scopus.com/inward/record.url?scp=49949141111&partnerID=8YFLogxK

U2 - 10.1016/0016-0032(66)90298-5

DO - 10.1016/0016-0032(66)90298-5

M3 - Article

AN - SCOPUS:49949141111

SN - 0016-0032

VL - 281

SP - 371

EP - 378

JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

IS - 5

ER -

Equivalence of linear time-invariant dynamical systems

Abstract

Access to Document

Other files and links

Fingerprint

Cite this