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Constructing the Value of a Differential Game with a Positional Performance Functional

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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., Upravlenie dinamicheskoi sistemoi (Control of a Dynamical System), Moscow, 1985.

  3. Kurzhanskii, A.B., Upravlenie i nablyudenie v usloviyakh neopredelennosti (Control and Observation under Lack of Information), Moscow, 1977.

  4. Osipov, Yu.S., Prikl. Mat. Mekh., 1977, vol. 41, no. 2, pp. 195-201.

    Google Scholar 

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

  6. Krasovskii, A.N. and Krasovskii, N.N., Control under Lack of Information, Birkhauser, USA, 1994.

    Google Scholar 

  7. Krasovskii, A.N., Prikl. Mat. Mekh., 1987, vol. 51, no. 2, pp. 186-192.

    Google Scholar 

  8. Krasovskii, N.N. and Reshetova, T.N., Problems of Control and Information Theory, 1990, vol. 17, no. 6, pp. 333-343.

    Google Scholar 

  9. Lokshin, M.D., Differents. Uravn., 1992, vol. 28, no. 11, pp. 1952-1961.

    Google Scholar 

  10. Lukoyanov, N.Yu., Prikl. Mat. Mekh., 1998, vol. 62, no. 2, pp. 188-198.

    Google Scholar 

  11. Kantorovich, L.V. and Akilov, G.P., Funktsional'nyi analiz (Functional Analysis), Moscow, 1984.

  12. 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: Nauka, 1977.

    Google Scholar 

  13. Rockafellar, R., Convex Analysis, Princeton: Princeton University, 1970. Translated under the title Vypuklyi analiz, Moscow: Mir, 1973.

    Google Scholar 

  14. Shiryaev, A.N., Veroyatnost' (Probability), Moscow, 1980.

  15. Liptser, R.Sh. and Shiryaev, A.N., Statistika sluchainykh protsessov (Statistics of Random Processes), Moscow, 1974.

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Kovrizhnykh, A.Y. Constructing the Value of a Differential Game with a Positional Performance Functional. Differential Equations 37, 669–679 (2001). https://doi.org/10.1023/A:1019216631827

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