Geodesic
Application of the problem of speed for realizing of a given motion of a dynamic system
Problemy fiziki, matematiki i tehniki, no. 1 (2019), pp. 65-68.

Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of the given motions realization by dynamic systems is investigated. Using the optimal control methods current values of limited optimal feedbacks are calculated with the help of solution of special auxiliary optimal control problems — speed problems. The results are illustrated by the example of the second order dynamical system, realizing a limited cycle.
Keywords: stabilization, optimal feedback, dynamic system, speed problem, optimal control problem, problem of realizing given motions. 
@article{PFMT_2019_1_a11,
     author = {E. A. Ruzhitskaya and G. L. Karaseva},
     title = {Application of the problem of speed for realizing of a given motion of a dynamic system},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {65--68},
     publisher = {mathdoc},
     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2019_1_a11/}
}
TY  - JOUR
AU  - E. A. Ruzhitskaya
AU  - G. L. Karaseva
TI  - Application of the problem of speed for realizing of a given motion of a dynamic system
JO  - Problemy fiziki, matematiki i tehniki
PY  - 2019
SP  - 65
EP  - 68
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PFMT_2019_1_a11/
LA  - ru
ID  - PFMT_2019_1_a11
ER  - 
%0 Journal Article
%A E. A. Ruzhitskaya
%A G. L. Karaseva
%T Application of the problem of speed for realizing of a given motion of a dynamic system
%J Problemy fiziki, matematiki i tehniki
%D 2019
%P 65-68
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PFMT_2019_1_a11/
%G ru
%F PFMT_2019_1_a11
E. A. Ruzhitskaya; G. L. Karaseva. Application of the problem of speed for realizing of a given motion of a dynamic system. Problemy fiziki, matematiki i tehniki, no. 1 (2019), pp. 65-68. http://geodesic.mathdoc.fr/item/PFMT_2019_1_a11/

[1] R. Gabasov, F.M. Kirillova, O.I. Kostyukova, “Postroenie optimalnykh upravlenii tipa obratnoi svyazi v lineinoi zadache”, Doklady AN SSSR, 320:6 (1991), 1294–1299

[2] I.G. Malkin, Teoriya ustoichivosti dvizheniya, Nauka, M., 1966

[3] M.A. Aizerman, Lektsii po teorii avtomaticheskogo regulirovaniya, Fizmatgiz, M., 1958

[4] R. Gabasov, F.M. Kirillova, E.A. Ruzhitskaya, “Reshenie klassicheskoi zadachi regulirovaniya metodami optimalnogo upravleniya”, Avtomatika i telemekhanika, 2001, no. 6, 18–29

[5] R. Gabasov, F.M. Kirillova, E.A. Ruzhitskaya, “Stabilization of dynamical systems with the help of optimization methods”, Nonsmooth and discontinuous problems of control and optimization, Proceedings volume from the IFAC Workshop (Chelyabinsk, Russia, 1998), 35–41 | MR

[6] R. Gabasov, F.M. Kirillova, E.A. Ruzhitskaya, “Sintez obratnykh svyazei dlya sistem, osuschestvlyayuschikh zadannye dvizheniya”, Avtomatika i telemekhanika, 2003, no. 8, 26–39

[7] E.A. Ruzhitskaya, “Stabilizatsiya optimalnykh po bystrodeistviyu sistem”, Problemy fiziki, matematiki i tekhniki, 2010, no. 4(5), 35–38

[8] R. Gabasov, F.M. Kirillova, O.I. Kostyukova, “Optimizatsiya lineinoi sistemy upravleniya v rezhime realnogo vremeni”, Izvestiya RAN. Tekhnicheskaya kibernetika, 1992, no. 4, 3–19

[9] R. Gabasov, F.M. Kirillova, “Real-time construction of optimal closable feedbacks”, 13th World Congress of IFAC International Federation of Automatic Control (San Francisco, CA, USA, June 30–Jule 5), v. D, San Francisco, CA, USA, 1996, 231–236

[10] R. Gabasov, F.M. Kirillova, “Optimalnoe upravlenie v rezhime realnogo vremeni”, Vtoraya mezhdunarodnaya konferentsiya po problemam upravleniya, Plenarnye doklady (17–19 iyunya 2003 g.), Institut problem upravleniya, M., 2003, 20–47

[11] R. Gabasov, F.M. Kirillova, “Optimalnoe upravlenie i nablyudenie v realnom vremeni”, Izvestiya RAN. Teoriya i sistemy upravleniya, 2006, no. 3, 90–111

[12] R. Gabasov, F.M. Kirillova, A.I. Tyatyushkin, Konstruktivnye metody optimizatsii, v. 1, Lineinye zadachi, Universitetskoe, Minsk, 1984

[13] R. Gabasov, E.A. Ruzhitskaya, “Sintez optimalnykh po bystrodeistviyu sistem v klasse ogranichennykh nepreryvnykh upravlenii s ogranichennymi proizvodnymi”, Izvestiya RAN. Teoriya i sistemy upravleniya, 1998, no. 4, 75–81