Voir la notice de l'article provenant de la source Math-Net.Ru
@article{ISU_2015_15_2_a2, author = {I. V. Grebennikova and A. G. Kremlev}, title = {Approximation of control for singularly perturbed system with delay with geometric constraints}, journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics}, pages = {142--151}, publisher = {mathdoc}, volume = {15}, number = {2}, year = {2015}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/ISU_2015_15_2_a2/} }
TY - JOUR AU - I. V. Grebennikova AU - A. G. Kremlev TI - Approximation of control for singularly perturbed system with delay with geometric constraints JO - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics PY - 2015 SP - 142 EP - 151 VL - 15 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ISU_2015_15_2_a2/ LA - ru ID - ISU_2015_15_2_a2 ER -
%0 Journal Article %A I. V. Grebennikova %A A. G. Kremlev %T Approximation of control for singularly perturbed system with delay with geometric constraints %J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics %D 2015 %P 142-151 %V 15 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/ISU_2015_15_2_a2/ %G ru %F ISU_2015_15_2_a2
I. V. Grebennikova; A. G. Kremlev. Approximation of control for singularly perturbed system with delay with geometric constraints. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 15 (2015) no. 2, pp. 142-151. http://geodesic.mathdoc.fr/item/ISU_2015_15_2_a2/
[1] Krasovskii N. N., The Theory of Motion Control, Nauka, M., 1968, 475 pp. (in Russian) | MR
[2] Kurzhanskij A. B., Control and Surveillance in the Face of Uncertainty, Nauka, M., 1977, 392 pp. (in Russian) | MR
[3] Kremlev A. G., “Asymptotic properties of a set of trajectories of a singularly perturbed system in the optimal control problem”, Autom. Remote Control, 54:9 (1993), 1353–1367 | MR | Zbl
[4] Grebennikova I. V., “Solution approximation in a minimax control problem for a singularly perturbed system with delay”, Russian Math., 55:10 (2011), 23–33 | DOI | MR | Zbl
[5] Grebennikova I. V., “The problem of optimal control for singularly perturbed system with delay with integral quadratic constraints”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 12:4 (2012), 3–11 (in Russian)
[6] Kremlev A. G., Grebennikova I. V., “About asymptotic of a set of trajectories of a singularly perturbed system with delay”, News of Scientific Thought, Proceedings of the international conference, v. 4, Nauka i obrazovanie, Dneproperovsk, 2006, 65–69 (in Russian)
[7] Rokafellar R., Convex Analysis, Mir, M., 1973, 492 pp. (in Russian)
[8] Krasovskii N. N., Some Problems in the Theory of Stability of Motion, Fizmatgiz, M., 1959, 468 pp. (in Russian) | MR
[9] Kirillova F. M., “Relative controllability of linear dynamic systems with delay”, Doklady AN SSSR, 174:6 (1967), 1260–1263 (in Russian) | MR | Zbl
[10] Bellman R., Kuk K., Differential-Difference Equations, Mir, M., 1967, 547 pp. (in Russian) | MR
[11] Natanson I. P., Theory of Functions of a Real Variable, Nauka, M., 1974, 468 pp. (in Russian) | MR