Locally parameter identifiable systems are generic › Научные исследования в СПбГУ

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Locally parameter identifiable systems are generic. / Bodunov, N. A.; Kolbina, S. A.; Pilyugin, S. Yu.

в: Vestnik St. Petersburg University: Mathematics, Том 45, № 2, 04.2012, стр. 61-64.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Bodunov, NA, Kolbina, SA & Pilyugin, SY 2012, 'Locally parameter identifiable systems are generic', Vestnik St. Petersburg University: Mathematics, Том. 45, № 2, стр. 61-64. https://doi.org/10.3103/S1063454112020045

APA

Bodunov, N. A., Kolbina, S. A., & Pilyugin, S. Y. (2012). Locally parameter identifiable systems are generic. Vestnik St. Petersburg University: Mathematics, 45(2), 61-64. https://doi.org/10.3103/S1063454112020045

Vancouver

Bodunov NA, Kolbina SA, Pilyugin SY. Locally parameter identifiable systems are generic. Vestnik St. Petersburg University: Mathematics. 2012 Апр.;45(2):61-64. https://doi.org/10.3103/S1063454112020045

Author

Bodunov, N. A. ; Kolbina, S. A. ; Pilyugin, S. Yu. / Locally parameter identifiable systems are generic. в: Vestnik St. Petersburg University: Mathematics. 2012 ; Том 45, № 2. стр. 61-64.

BibTeX

@article{e268369ba40b4e868ba0c450d543ec76,

title = "Locally parameter identifiable systems are generic",

abstract = "The problem of local parameter identifiability of an {"}input-output{"} system is considered. It is shown that if the dimension of the parameter space is not higher than that of the space of output signals, then a generic system is locally parameter identifiable for almost all values of the input signal and parameter. We give an example which illustrates that if the number of parameters exceeds the dimension of the output signal, then the corresponding assertion ceases to be true.",

keywords = "control system, genericity, parametric identifiability",

author = "Bodunov, {N. A.} and Kolbina, {S. A.} and Pilyugin, {S. Yu}",

year = "2012",

month = apr,

doi = "10.3103/S1063454112020045",

language = "English",

volume = "45",

pages = "61--64",

journal = "Vestnik St. Petersburg University: Mathematics",

issn = "1063-4541",

publisher = "Pleiades Publishing",

number = "2",

}

RIS

TY - JOUR

T1 - Locally parameter identifiable systems are generic

AU - Bodunov, N. A.

AU - Kolbina, S. A.

AU - Pilyugin, S. Yu

PY - 2012/4

Y1 - 2012/4

N2 - The problem of local parameter identifiability of an "input-output" system is considered. It is shown that if the dimension of the parameter space is not higher than that of the space of output signals, then a generic system is locally parameter identifiable for almost all values of the input signal and parameter. We give an example which illustrates that if the number of parameters exceeds the dimension of the output signal, then the corresponding assertion ceases to be true.

AB - The problem of local parameter identifiability of an "input-output" system is considered. It is shown that if the dimension of the parameter space is not higher than that of the space of output signals, then a generic system is locally parameter identifiable for almost all values of the input signal and parameter. We give an example which illustrates that if the number of parameters exceeds the dimension of the output signal, then the corresponding assertion ceases to be true.

KW - control system

KW - genericity

KW - parametric identifiability

UR - http://www.scopus.com/inward/record.url?scp=84870366670&partnerID=8YFLogxK

U2 - 10.3103/S1063454112020045

DO - 10.3103/S1063454112020045

M3 - Article

AN - SCOPUS:84870366670

VL - 45

SP - 61

EP - 64

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 2

ER -

ID: 74985930