Geodesic
On tracking extremum parameters in the identification variational problem
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 11 (2011) no. 3, pp. 95-113 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

There be given comparison tracking problems in linear means of least square and variational method of linear dynamical models with constant equation coefficients. There be given deduction of the tracking equations in the mentioned optimization problems. There be derived formulas for vectors of the first and matrix of the second derivatives with respect to equation parameters in variational identification problem.
Keywords: tracking equations, extremum parameters, dynamic model, means of least square, projection, variational identification functional derivatives, Hessian.
Mots-clés : equation coefficients 
@article{VNGU_2011_11_3_a6,
     author = {A. O. Egorshin},
     title = {On tracking extremum parameters in the identification variational problem},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {95--113},
     year = {2011},
     volume = {11},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2011_11_3_a6/}
}
TY  - JOUR
AU  - A. O. Egorshin
TI  - On tracking extremum parameters in the identification variational problem
JO  - Sibirskij žurnal čistoj i prikladnoj matematiki
PY  - 2011
SP  - 95
EP  - 113
VL  - 11
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/VNGU_2011_11_3_a6/
LA  - ru
ID  - VNGU_2011_11_3_a6
ER  - 
%0 Journal Article
%A A. O. Egorshin
%T On tracking extremum parameters in the identification variational problem
%J Sibirskij žurnal čistoj i prikladnoj matematiki
%D 2011
%P 95-113
%V 11
%N 3
%U http://geodesic.mathdoc.fr/item/VNGU_2011_11_3_a6/
%G ru
%F VNGU_2011_11_3_a6
A. O. Egorshin. On tracking extremum parameters in the identification variational problem. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 11 (2011) no. 3, pp. 95-113. http://geodesic.mathdoc.fr/item/VNGU_2011_11_3_a6/

[1] Egorshin A. O., “Ob odnom sposobe otsenki koeffitsientov modeliruyuschikh uravnenii dlya posledovatelnostei”, Sib. zhurn. industr. mat., 3:2(6) (2000), 78–96 | MR | Zbl

[2] Egorshin A. O., “Identifikatsiya statsionarnykh modelei v unitarnom prostranstve”, Avtomatika i telemekhanika, 65:12 (2004), 29–48 | MR | Zbl

[3] Kostin V. I., “O tochkakh ekstremuma odnoi funktsii”, Sb. nauch. tr., Upravlyaemye sistemy, 24, Novosibirsk, 1984, 35–42 | MR

[4] Demidenko V. G., “Vosstanovlenie parametrov odnorodnoi lineinoi sistemy”, Vestn. Novosib. gos. un-ta. Seriya: Matematika, mekhanika, informatika, 8:3 (2008), 51–59 | MR | Zbl

[5] Demidenko V. G., “Vosstanovlenie koeffitsientov sistemy lineinykh raznostnykh uravnenii”, Vestn. Novosib. gos. un-ta. Seriya: Matematika, mekhanika, informatika, 10:2 (2010), 45–54