Universal Feedback Control via Proximal Aiming in Problems of Control under Disturbance and Differential Games
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebra. Topology. Differential equations and their applications, Tome 224 (1999), pp. 165-186.

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

@article{TM_1999_224_a10,
     author = {F. Clarke and Yu. S. Ledyaev and A. I. Subbotin},
     title = {Universal {Feedback} {Control} via {Proximal} {Aiming} in {Problems} of {Control} under {Disturbance} and {Differential} {Games}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {165--186},
     publisher = {mathdoc},
     volume = {224},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_1999_224_a10/}
}
TY  - JOUR
AU  - F. Clarke
AU  - Yu. S. Ledyaev
AU  - A. I. Subbotin
TI  - Universal Feedback Control via Proximal Aiming in Problems of Control under Disturbance and Differential Games
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 1999
SP  - 165
EP  - 186
VL  - 224
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_1999_224_a10/
LA  - ru
ID  - TM_1999_224_a10
ER  - 
%0 Journal Article
%A F. Clarke
%A Yu. S. Ledyaev
%A A. I. Subbotin
%T Universal Feedback Control via Proximal Aiming in Problems of Control under Disturbance and Differential Games
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 1999
%P 165-186
%V 224
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_1999_224_a10/
%G ru
%F TM_1999_224_a10
F. Clarke; Yu. S. Ledyaev; A. I. Subbotin. Universal Feedback Control via Proximal Aiming in Problems of Control under Disturbance and Differential Games. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebra. Topology. Differential equations and their applications, Tome 224 (1999), pp. 165-186. http://geodesic.mathdoc.fr/item/TM_1999_224_a10/

[1] Berkowitz L. D., “Characterization of the values of differential games”, Appl. Math. Optim., 17 (1988), 177–183 | DOI | MR

[2] Berkowitz L. D., “Optimal feedback controls”, SIAM J. Contr. Optim., 27 (1989), 991–1007 | DOI | MR

[3] Blaquiere A., Leitmann L. G., Jeux quantitatifs, Gauthier–Villars, Paris, 1969 | MR | Zbl

[4] Clarke F. H., Optimization and nonsmooth analysis, 3rd ed., Classics in Appl. Math., 5, Wiley–Intersci., N. Y., 1983 | MR

[5] Clarke F. H., Methods of dynamic and nonsmooth optimization, CBMS-NSF Reg. Conf. Ser. in Appl. Math., 57, SIAM, Philadelphia, 1989 | MR | Zbl

[6] Clarke F. H., Ledyaev Yu. S., Subbotin A. I., Universal feedback via proximal aiming in control problems under disturbances and differential games, Rapport CRM-2386, Univ. Montréal, 1994, 1–22

[7] Clarke F. H., Ledyaev Yu. S., Subbotin A. I., “Universal feedback strategies for differential games of pursuit”, SIAM J. Contr., 35 (1997), 552–561 | DOI | MR | Zbl

[8] Clarke F. H., Ledyaev Yu. S., Sontag E. D., Subbotin A. I., “Asymptotic controllability implies feedback stabilization”, IEEE Trans. Aut. Contr., 42 (1997), 1394–1407 | DOI | MR | Zbl

[9] Clarke F. H., Ledyaev Yu. S., Stern R. J.,Wolenski P. R., Nonsmooth analysis and control theory, Springer, N. Y., 1998 | MR

[10] Crandall M., Lions P.-L., “Viscosity solutions of Hamilton–Jacobi equations”, Trans. Amer. Math. Soc., 277 (1983), 1–42 | DOI | MR | Zbl

[11] Filippov A. F., “Differentsialnye uravneniya s razryvnoi pravoi chastyu”, Mat. sb., 51:1 (1960), 99–128 | MR | Zbl

[12] Friedman A., Differential games, Wiley–Intersci., N. Y., 1971 | MR

[13] Garnysheva G. G., Subbotin A. I., “Strategii minimaksnogo pritselivaniya v napravlenii kvazigradienta”, PMM, 58:4 (1994), 5–11 | MR | Zbl

[14] Kononenko A. F., “Ravnovesnye pozitsionnye strategii v neantogonisticheskikh differentsialnykh igrakh”, DAN SSSR, 231 (1976), 285–288 | MR | Zbl

[15] Krasovskii N. N., “Differentsialnye igry. Approksimatsionnye i formalnye modeli”, Mat. sb., 107(149):4(12) (1978), 541–571 | MR | Zbl

[16] Krasovskii N. N., Upravlenie dinamicheskimi sistemami, Nauka, M., 1985 | MR

[17] Krasovskii N. N., Subbotin A. I., Pozitsionnye differentsialnye igry, Nauka, M., 1974 ; Jeux differentiels, Mir, Moscow, 1979; Game-theoretical control problems, Springer, N. Y., 1988 | MR | Zbl | MR | Zbl

[18] Loewen P., Optimal control via nonsmooth analysis, CRM Proc. Lect. Notes, Amer. Math. Soc., Providence, 1993 | MR | Zbl

[19] Subbotin A. I., “Obobschenie osnovnogo uravneniya teorii differentsialnykh igr”, DAN SSSR, 254 (1980), 293–297 | MR | Zbl

[20] Subbotin A. I., Generalized solutions of first order PDEs: The dynamic optimization perspective, Birkhäuser, Boston, 1994 | MR | Zbl