Geodesic
On designing a reconstruction-control algorithm for an ecological-economic model
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 4, pp. 142-154 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

A control problem for the Nordhaus ecological-economic model is considered. The problem consists in constructing an algorithm for the stable generation of control characteristics that provide a given quality of the process in the case when only a part of the phase coordinates are measured and uncontrolled disturbances act on the system. We design such an algorithm (a reconstruction-control controller) using the feedback control method. The algortihm consists of two blocks, the online reconstruction and positional control, which are based on appropriate modifications of N. N. Krasovskii's extremal shift method.
Mots-clés : dynamic reconstruction
Keywords: method of auxiliary models. 
@article{TIMM_2013_19_4_a14,
     author = {V. I. Maksimov},
     title = {On designing a reconstruction-control algorithm for an ecological-economic model},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {142--154},
     year = {2013},
     volume = {19},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2013_19_4_a14/}
}
TY  - JOUR
AU  - V. I. Maksimov
TI  - On designing a reconstruction-control algorithm for an ecological-economic model
JO  - Trudy Instituta matematiki i mehaniki
PY  - 2013
SP  - 142
EP  - 154
VL  - 19
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/TIMM_2013_19_4_a14/
LA  - ru
ID  - TIMM_2013_19_4_a14
ER  - 
%0 Journal Article
%A V. I. Maksimov
%T On designing a reconstruction-control algorithm for an ecological-economic model
%J Trudy Instituta matematiki i mehaniki
%D 2013
%P 142-154
%V 19
%N 4
%U http://geodesic.mathdoc.fr/item/TIMM_2013_19_4_a14/
%G ru
%F TIMM_2013_19_4_a14
V. I. Maksimov. On designing a reconstruction-control algorithm for an ecological-economic model. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 4, pp. 142-154. http://geodesic.mathdoc.fr/item/TIMM_2013_19_4_a14/

[1] Nordhaus W. D., Managing the global commons. The economics of climate change, The MIT Press, Cambridge, 1994, 223 pp.

[2] Krasovskii N. N., Subbotin A. I., Pozitsionnye differentsialnye igry, Nauka, M., 1974, 458 pp.

[3] Chentsov A. G., Subbotin A. I., Optimizatsiya garantii v zadachakh upravleniya, Nauka, M., 1981, 288 pp.

[4] Ushakov V. N., “K zadache postroeniya stabilnykh mostov v differentsirovannoi igre sblizheniya-ukloneniya”, Izv. AN SSSR. Tekhn. kibernetika, 1980, no. 4, 29–36 | MR

[5] Patsko V. S., Poverkhnosti pereklyucheniya v lineinykh differentsialnykh igrakh, preprint, In-t matematiki i mekhaniki UrO RAN, 2004, 80 pp.

[6] Osipov Yu. S., “Pakety programm: podkhod k resheniyu zadach pozitsionnogo upravleniya s nepolnoi informatsiei”, Uspekhi mat. nauk, 61:4(370) (2006), 25–76 | DOI | MR | Zbl

[7] Kryazhimskii A. V., “Chislovaya kodirovka diskretizovannykh upravlenii i approksimatsionnyi metricheskii kriterii razreshimosti igrovoi zadachi navedeniya”, Tr. In-ta matematiki i mekhaniki UrO RAN, 17, no. 2, 2011, 105–124 | Zbl

[8] Osipov Yu. S., Kryazhimskii A. V., Inverse problems for ordinary differential equations: dynamical solutions, Gordon and Breach, Basel, 1995, 625 pp. | MR | Zbl

[9] Blizorukova M. S., Maksimov V. I., “Ob odnoi zadache upravleniya pri nepolnoi informatsii”, Avtomatika i telemekhanika, 2006, no. 3, 131–142

[10] Kryazhimskii A. V., Maksimov V. I., “O sochetanii protsessov rekonstruktsii i garantiruyuschego upravleniya”, Avtomatika i telemekhanika, 2013, no. 8, 13–25 | MR

[11] Osipov Yu. S., Kryazhimskii A. V., Maksimov V. I., Metody dinamicheskogo vosstanovleniya vkhodov upravlyaemykh sistem, Izd-vo UrO RAN, Ekaterinburg, 2011, 292 pp.

[12] Blizorukova M. S., Maksimov V. I., Pandolfi L., “Dinamicheskaya rekonstruktsiya vkhoda v nelineinoi sisteme s zapazdyvaniem”, Avtomatika i telemekhanika, 2002, no. 2, 3–14