References
N. N. Krasovskii, Game-Theoretical Pursuit Problems [in Russian], Nauka, Moscow (1970).
N. N. Krasovskii and A. I. Subbotin, Positional Differential Games [in Russian], Nauka, Moscow (1974).
A. I. Panasyuk and V. I. Panasyuk, Asymptotic Turnpike Optimization of Controlled Systems [in Russian], Nauka i Tekhnika, Minsk (1986).
A. D. Ioffe and V. M. Tikhomirov, Theory of Extremal Problems [in Russian], Nauka, Moscow (1974).
A. G. Chentsov, “Relaxation of reachable sets and extension constructions, Kibern. Sistem. Anal., No. 4, 78–87 (1992).
L. S. Pontryagin, Ordinary Differential Equations [in Russian], Nauka, Moscow (1965).
A. G. Chentsov, “Finitely additive measures and extensions of some nonlinear extremal problems with asymptotic constraints,” Kibernetika, No. 6, 78–84 (1990).
V. P. Serov and A. G. Chentsov, “An extension construction for control problems with integral constraints,” Diff Uravn.,26, No. 4, 607–618 (1990).
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 Unpublished manuscript, VINITI No. 8511-V87.
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 Unpublished manuscript, VINITI No. 777-V92.
J. L. Kelley, General Topology [Russian translation], Nauka, Moscow (1981).
R. Engelking, General Topology [Russian translation], Mir, Moscow (1986).
A. G. Chentsov, Applications of Measure Theory to Control Problems [in Russian], Sredne-Ural'skoe Knizhnoe Izd., Sverdlovsk (1985).
A. G. Chentsov, “On universal integrability of bounded functions,” Mat. Sb.,131, No. 1, 73–93 (1986).
N. Dunford and J. Schwartz, Linear Operators. General Theory [Russian translation], Nauka, Moscow (1962).
J. Neveu, mathematical Foundations of the Calculus of Probability [Russian translation], Mir, Moscow (1969).
A. G. Chentsov, “On the construction of solution to nonregular problems of optimal control,” Probl. Contr. Inform. Theory, No. 20(2), 129–143 (1991).
A. G. Chentsov, Extremum Subject to Asymptotic Constraints and Construction of Compactifications [in Russian], IMM UrO RAN, Ekaterinburg (1991).
N. Bourbaki, General Topology. Basic Structures [Russian translation], Nauka, Moscow (1968).
Additional information
Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 87–99, January–February, 1995.
Rights and permissions
About this article
Cite this article
Chentsov, A.G. Asymptotic reachability with perturbed integral constraints. Cybern Syst Anal 31, 75–84 (1995). https://doi.org/10.1007/BF02366797
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02366797