Prevalence of locally parameter identifiable systems

Standard

Prevalence of locally parameter identifiable systems. / Bodunov, N.A.; Kolbina, S.A.; Pilyugin, S.Y.

In: Vestnik St. Petersburg University: Mathematics, No. 4, 2015, p. 204-208.

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

Author

Bodunov, N.A. ; Kolbina, S.A. ; Pilyugin, S.Y. / Prevalence of locally parameter identifiable systems. In: Vestnik St. Petersburg University: Mathematics. 2015 ; No. 4. pp. 204-208.

BibTeX

@article{df83a5bd2f824a38a60614fdaf9d8493,

title = "Prevalence of locally parameter identifiable systems",

abstract = "{\textcopyright} 2015, Allerton Press, Inc.The problem of local parameter identifiability of an input–output system is considered. A set lf of systems is studied for which the property of local parameter identifiability holds for almost all values of input signals and parameters in both topological and metric senses. Sufficient conditions are pointed out under which the set LI contains a prevalent subset. The proof is based on the prevalent transversality theorem proved by Kaloshin. Systems are considered that are characterized by a family of (structural) parameters a and a control block. It is shown that if the dimension of the set of parameters a is large enough (the structure of the system is rich enough), then, generically, a system fa belongs to the class lf for a set of parameters a having full measure.",

author = "N.A. Bodunov and S.A. Kolbina and S.Y. Pilyugin",

year = "2015",

doi = "10.3103/S1063454115040056",

language = "English",

pages = "204--208",

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

issn = "1063-4541",

publisher = "Pleiades Publishing",

number = "4",

}

RIS

TY - JOUR

T1 - Prevalence of locally parameter identifiable systems

AU - Bodunov, N.A.

AU - Kolbina, S.A.

AU - Pilyugin, S.Y.

PY - 2015

Y1 - 2015

N2 - © 2015, Allerton Press, Inc.The problem of local parameter identifiability of an input–output system is considered. A set lf of systems is studied for which the property of local parameter identifiability holds for almost all values of input signals and parameters in both topological and metric senses. Sufficient conditions are pointed out under which the set LI contains a prevalent subset. The proof is based on the prevalent transversality theorem proved by Kaloshin. Systems are considered that are characterized by a family of (structural) parameters a and a control block. It is shown that if the dimension of the set of parameters a is large enough (the structure of the system is rich enough), then, generically, a system fa belongs to the class lf for a set of parameters a having full measure.

AB - © 2015, Allerton Press, Inc.The problem of local parameter identifiability of an input–output system is considered. A set lf of systems is studied for which the property of local parameter identifiability holds for almost all values of input signals and parameters in both topological and metric senses. Sufficient conditions are pointed out under which the set LI contains a prevalent subset. The proof is based on the prevalent transversality theorem proved by Kaloshin. Systems are considered that are characterized by a family of (structural) parameters a and a control block. It is shown that if the dimension of the set of parameters a is large enough (the structure of the system is rich enough), then, generically, a system fa belongs to the class lf for a set of parameters a having full measure.

U2 - 10.3103/S1063454115040056

DO - 10.3103/S1063454115040056

M3 - Article

SP - 204

EP - 208

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 4

ER -

ID: 4012851