Geodesic
About one problem of conflict control with incomplete retarded information
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 3 (2011) no. 2, pp. 18-36.

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For conflict-driven dynamic system, the problem of optimal feedback control with incomplete information about the dynamic obstacle and retarded inaccurate information about the values of the phase variable, which characterizes the current state of the system, is considered. The problem is formalized as an antagonistic differential game of two persons. The method of program stochastic synthesis and the method of extremal shift to attendant points are used for solving this problem. The optimal control strategy is derived.
Keywords: control, the criterion of quality, guaranteed result, the stochastic program synthesis, extremal shift, the optimal control strategy.
Mots-clés : obstacle 
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Andrew N. Krasovskii; Alexandr N. Ladeyshikov. About one problem of conflict control with incomplete retarded information. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 3 (2011) no. 2, pp. 18-36. http://geodesic.mathdoc.fr/item/MGTA_2011_3_2_a1/

[1] Krasovskii A. N., “Differentsialnaya igra dlya pozitsionnogo funktsionala”, Dokl. AN SSSR, 253:6 (1980), 1303–1307 | MR

[2] Krasovskii N. N., “O stokhasticheskom programmnom sinteze strategii v differentsialnoi igre”, Prikl. mat. i mekh., 46:6 (1982), 885–892 | MR

[3] Krasovskii N. N., Tarasova S. I., Tretyakov V. E., Shishkin G. I., Zadacha upravleniya pri nepolnoi informatsii, Preprint, UNTs AN SSSR, Sverdlovsk, 1984

[4] Liptser R. Sh., Shiryaev A. N., Statistika sluchainykh protsessov, Nauka, M., 1974 | MR | Zbl

[5] Shiryaev A. N., Veroyatnost, Nauka, M., 1980 | MR | Zbl

[6] Krasovskii A. N., Krasovskii N. N., Control under lack of information, Birkhauser, Boston, 1994 | Zbl