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Asymptotic reachability with perturbed integral constraints

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References

  1. N. N. Krasovskii, Game-Theoretical Pursuit Problems [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  2. N. N. Krasovskii and A. I. Subbotin, Positional Differential Games [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  3. A. I. Panasyuk and V. I. Panasyuk, Asymptotic Turnpike Optimization of Controlled Systems [in Russian], Nauka i Tekhnika, Minsk (1986).

    Google Scholar 

  4. A. D. Ioffe and V. M. Tikhomirov, Theory of Extremal Problems [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  5. A. G. Chentsov, “Relaxation of reachable sets and extension constructions, Kibern. Sistem. Anal., No. 4, 78–87 (1992).

    MATH  MathSciNet  Google Scholar 

  6. L. S. Pontryagin, Ordinary Differential Equations [in Russian], Nauka, Moscow (1965).

    Google Scholar 

  7. A. G. Chentsov, “Finitely additive measures and extensions of some nonlinear extremal problems with asymptotic constraints,” Kibernetika, No. 6, 78–84 (1990).

    MATH  MathSciNet  Google Scholar 

  8. V. P. Serov and A. G. Chentsov, “An extension construction for control problems with integral constraints,” Diff Uravn.,26, No. 4, 607–618 (1990).

    MathSciNet  Google Scholar 

  9. A. G. Chentsov, “On some representations of finitely additive measures approximated by indefinite integrals” [in Russian], UPI im. S. M. Kirova, Sverdlovsk (1987). Unpublished manuscript, VINITI No. 8511-V87.

  10. A. G. Chentsov, “Asymptotically reachable elements in problems with constraints on the vector integrand” [in Russian], UPI im. S. M. Kirova, Ekaterinburg (1992). Unpublished manuscript, VINITI No. 777-V92.

  11. J. L. Kelley, General Topology [Russian translation], Nauka, Moscow (1981).

    Google Scholar 

  12. R. Engelking, General Topology [Russian translation], Mir, Moscow (1986).

    Google Scholar 

  13. A. G. Chentsov, Applications of Measure Theory to Control Problems [in Russian], Sredne-Ural'skoe Knizhnoe Izd., Sverdlovsk (1985).

    Google Scholar 

  14. A. G. Chentsov, “On universal integrability of bounded functions,” Mat. Sb.,131, No. 1, 73–93 (1986).

    MATH  Google Scholar 

  15. N. Dunford and J. Schwartz, Linear Operators. General Theory [Russian translation], Nauka, Moscow (1962).

    Google Scholar 

  16. J. Neveu, mathematical Foundations of the Calculus of Probability [Russian translation], Mir, Moscow (1969).

    Google Scholar 

  17. A. G. Chentsov, “On the construction of solution to nonregular problems of optimal control,” Probl. Contr. Inform. Theory, No. 20(2), 129–143 (1991).

    MATH  MathSciNet  Google Scholar 

  18. A. G. Chentsov, Extremum Subject to Asymptotic Constraints and Construction of Compactifications [in Russian], IMM UrO RAN, Ekaterinburg (1991).

    Google Scholar 

  19. N. Bourbaki, General Topology. Basic Structures [Russian translation], Nauka, Moscow (1968).

    Google Scholar 

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Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 87–99, January–February, 1995.

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Chentsov, A.G. Asymptotic reachability with perturbed integral constraints. Cybern Syst Anal 31, 75–84 (1995). https://doi.org/10.1007/BF02366797

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