Continuously Equivalent State Variable Realizations

Brian D.O. Anderson

doi:10.1109/TCT.1972.1083451

Continuously Equivalent State Variable Realizations

Brian D.O. Anderson^*

^*Corresponding author for this work

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

Abstract

Suppose one is given two minimal realizations of the same transfer function matrix. The question is asked: When does there exist a family of coordinate transformations defined by a set of nonsingular matrices T(λ), continuously dependent on λ, with T(0) = I and with T(1) mapping the state vector associated with one minimal realization into the state vector associated with the other? The quesion is answered, and a procedure is given for constructing the family when it exists.

Original language	English
Pages (from-to)	286-287
Number of pages	2
Journal	IEEE Transactions on Circuit Theory
Volume	19
Issue number	3
DOIs	https://doi.org/10.1109/TCT.1972.1083451
Publication status	Published - May 1972
Externally published	Yes

Access to Document

10.1109/TCT.1972.1083451

Cite this

@article{859b6313a25342c2af0f6ee8ee5f1864,

title = "Continuously Equivalent State Variable Realizations",

abstract = "Suppose one is given two minimal realizations of the same transfer function matrix. The question is asked: When does there exist a family of coordinate transformations defined by a set of nonsingular matrices T(λ), continuously dependent on λ, with T(0) = I and with T(1) mapping the state vector associated with one minimal realization into the state vector associated with the other? The quesion is answered, and a procedure is given for constructing the family when it exists.",

author = "Anderson, \{Brian D.O.\}",

year = "1972",

month = may,

doi = "10.1109/TCT.1972.1083451",

language = "English",

volume = "19",

pages = "286--287",

journal = "IEEE Transactions on Circuit Theory",

issn = "0018-9324",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "3",

}

TY - JOUR

T1 - Continuously Equivalent State Variable Realizations

AU - Anderson, Brian D.O.

PY - 1972/5

Y1 - 1972/5

N2 - Suppose one is given two minimal realizations of the same transfer function matrix. The question is asked: When does there exist a family of coordinate transformations defined by a set of nonsingular matrices T(λ), continuously dependent on λ, with T(0) = I and with T(1) mapping the state vector associated with one minimal realization into the state vector associated with the other? The quesion is answered, and a procedure is given for constructing the family when it exists.

AB - Suppose one is given two minimal realizations of the same transfer function matrix. The question is asked: When does there exist a family of coordinate transformations defined by a set of nonsingular matrices T(λ), continuously dependent on λ, with T(0) = I and with T(1) mapping the state vector associated with one minimal realization into the state vector associated with the other? The quesion is answered, and a procedure is given for constructing the family when it exists.

UR - https://www.scopus.com/pages/publications/0015346113

U2 - 10.1109/TCT.1972.1083451

DO - 10.1109/TCT.1972.1083451

M3 - Article

AN - SCOPUS:0015346113

SN - 0018-9324

VL - 19

SP - 286

EP - 287

JO - IEEE Transactions on Circuit Theory

JF - IEEE Transactions on Circuit Theory

IS - 3

ER -

Continuously Equivalent State Variable Realizations

Abstract

Access to Document

Other files and links

Fingerprint

Cite this