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A Version of the Program Iteration Method

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REFERENCES

  1. Isaacs, R., Differential Games, New York, 1965. Translated under the title Differentsial'nye igry, Moscow: Mir, 1967.

  2. Krasovskii, N.N., Igrovye zadachi o vstreche dvizhenii(Game Problems on the Encounter of Motions), Moscow, 1970.

  3. Krasovskii, N.N. and Subbotin, A.I., Pozitsionnye differentsial'nye igry(Positional Differential Games), Moscow, 1974.

  4. Krasovskii, N.N., Upravlenie dinamicheskoi sistemoi. Zadacha o minimume garantirovannogo rezul'tata(Control of a Dynamical System. The Problem of Minimum Guaranteed Result), Moscow, 1985.

  5. Subbotin, A.I. and Chentsov, A.G., Optimizatsiya garantii v zadachakh upravleniya(Guaranteed Optimization in Control Problems), Moscow, 1981.

  6. Subbotin, A.I., Minimaksnye neravenstva i uravneniya Gamil'tona-Yakobi(Minimax Inequalities and Hamilton-Jacobi Equations), Moscow, 1991.

  7. Pontryagin, L.S., Uspekhi Mat. Nauk, 1966, vol. 21, 4, pp. 219–274.

    Google Scholar 

  8. Pshenichnyi, B.N., Dokl. Akad. Nauk SSSR, 1969, vol. 184, 2, pp. 285–287.

    Google Scholar 

  9. Friedman, A., Differential Games, New York, 1974.

  10. Roxin, E., J. Optimiz. Theory and Appl., 1969, vol. 3, 3, pp. 153–163.

    Google Scholar 

  11. Elliott, R.J. and Kalton, N.J., Memoirs of the Amer. Math. Soc., 1972, 126, pp. 1–67.

    Google Scholar 

  12. Chentsov, A.G., Mat. Sb., 1976, vol. 99, 3, pp. 394–420.

    Google Scholar 

  13. Chentsov, A.G., Izv. Akad. Nauk SSSR. Ser. Mat., 1978, vol. 42, 2, pp. 455–467.

    Google Scholar 

  14. Chentsov, A.G., Metod programmnykh iteratsii dlya differentsial'noi igry sblizheniya-ukloneniya(The Method of Program Iterations for a Pursuit-Evasion Differential Game), Deposited in VINITI,Moscow, 1979, no. 1933–79.

  15. Chentsov, A.G., Differents. Uravn., 1980, vol. 16, 10, pp. 1801–1808.

    Google Scholar 

  16. Krasovskii, N.N. and Chentsov, A.G., Probl. Control and Inform. Theory, 1977, vol. 6, 5–6,pp. 381–395.

    Google Scholar 

  17. Krasovskii, N.N. and Chentsov, A.G., Probl. Control and Inform. Theory, 1979, vol. 9, 1, pp. 3–11.

    Google Scholar 

  18. Subbotin, A.I., Dokl. Akad. Nauk SSSR, 1972, vol. 206, 3, pp. 552–555.

    Google Scholar 

  19. Ushakov, V.N., Izv. Akad. Nauk SSSR. Tekhn. Kibernetika, 1980, 4, pp. 29–36.

  20. Chentsov, A.G., Dokl. Akad. Nauk SSSR, 1975, vol. 224, 6, pp. 1272–1275.

    Google Scholar 

  21. Chentsov, A.G., Dokl. Akad. Nauk SSSR, 1976, vol. 226, 1, pp. 73–76.

    Google Scholar 

  22. Chentsov, A.G., Dokl. Akad. Nauk SSSR, 1976, vol. 227, 2, pp. 306–308.

    Google Scholar 

  23. Chentsov, A.G., Dokl. Akad. Nauk SSSR, 1978, vol. 240, 1, pp. 36–39.

    Google Scholar 

  24. Chistyakov, S.V., Prikl. Mat. Mekh., 1977, vol. 41, 5, pp. 825–832.

    Google Scholar 

  25. Chentsov, A.G., Dokl. RAN, 2001, vol. 376, 3, pp. 311–314.

    Google Scholar 

  26. Kelley, J.L., General Topology, Toronto: Van Nostrand, 1955. Translated under the title Obshchaya topologiya, Moscow, 1981.

    Google Scholar 

  27. Neveu, J., Bases mathffematiques du calcul des probabilitffes, Paris, 1964. Translated under the title Matematicheskie osnovy teorii veroyatnostei, Moscow: Mir, 1969.

  28. Subbotin, A.I. and Chentsov, A.G., Trudy Mat. Inst. im. V.A. Steklova, 1999, vol. 224, pp. 311–334.

    Google Scholar 

  29. Chentsov, A.G., Differents. Uravn., 2001, vol. 37, 4, pp. 470–480.

    Google Scholar 

  30. Chentsov, A.G., Differents. Uravn., 2001, vol. 37, 5, pp. 679–688.

    Google Scholar 

  31. Engelking, R., General Topology, Warsaw: PWN, 1983. Translated under the title Obshchaya topologiya, Moscow: Mir, 1986.

  32. Chentsov, A.G., Izv. Vyssh. Uchebn. Zaved. Matematika, 2001, 12, pp. 77–88.

  33. Warga, J., Optimal Control of Differential and Functional Equations, New York: Academic, 1972. Translated under the title Optimal'noe upravlenie differentsial'nymi i funktsional'nymi uravneniyami, Moscow, 1977.

  34. Gamkrelidze, R.V., Osnovy optimal'nogo upravleniya(Fundamentals of Optimal Control), Tbilisi, 1975.

  35. Edwards, R., Functional Analysis. Theory and Applications, New York, 1965. Translated under the title Funktsional'nyi analiz. Teoriya i prilozheniya, Moscow, 1969.

  36. Chentsov, A.G., Izv. Vyssh. Uchebn. Zaved. Matematika, 2000, 3, pp. 66–76.

    Google Scholar 

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  1. Ural Division, Russian Academy of Sciences, Institute for Mathematics and Mechanics, Yekaterinburg, Russia

    A. G. Chentsov

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Chentsov, A.G. A Version of the Program Iteration Method. Differential Equations 39, 1132–1143 (2003). https://doi.org/10.1023/B:DIEQ.0000011287.42107.96

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