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Volume 4, Issue 1 (2014), Pages [1] - [57]

ABOUT ASYMPTOTIC NONSENSITIVITY PROPERTY IN ABSTRACT PROGRAMMED PROBLEM OF THE GAME CONTROL 

[1] J. Warga, Optimal Control of Differential and Functional Equations, Academic Press, New York, 1972.

 

[2] R. V. Gamkrelidze, Foundations of Optimal Control Theory, Izdat. Tbil. Univ., Tbilisi, 1977 (in Russian).

 

[3] N. N. Krasovskii and A. I. Subbotin, Game-Theoretical Control Problems, Springer Verlag, Berlin, 1988.

 

[4] N. N. Krasovskii, The Theory of the Control of Motion, Nauka, Moscow, 1968.

 

[5] N. Bourbaki, General Topology, The Main Structures, Moscow, 1968 (in Russian).

 

[6] J. L. Kelley, General Topology, Van Nostrand, Princeton, NJ, 1957.

 

[7] R. Engelking, General Topology, PWN, Warszawa, 1977.

 

[8] A. G. Chentsov, Finitely Additive Measures and Relaxations of Extremal Problems, Plenum Publishing Corporation, New York, London and Moscow, 1996.

 

[9] A. G. Chentsov, Asymptotic Attainability, Kluwer Academic Publishers, Dordrecht-Boston-London, 1997.

 

[10] A. G. Chentsov and S. I. Morina, Extensions and Relaxations, Kluwer Academic Publishers, Dordrecht-Boston-London, 2002.

 

[11] A. G. Chentsov, Finitely additive measures and extension of abstract control problems, Journal of Mathematical Sciences 133(2) (2006), 1045-1204.

 

[12] A. G. Chentsov, Extensions of abstract problems of attainability: Nonsequential version, Trudy Inst. Mat. i Mekh. UrO RAN 13(2) (2007), 184-217 (in Russian).

 

[13] A. G. Chentsov, On the result equivalence of constraints of asymptotic nature, Trudy Inst. Mat. i Mekh. UrO RAN 15(3) (2009), 241-261 (in Russian).

 

[14] N. Dunford and J. T. Schwartz, Linear Operators, Vol. 1, Interscience, New York, 1958.

 

[15] A. G. Chentsov, Generalized attraction sets and approximate solutions forming them, Trudy Inst. Mat. i Mekh. UrO RAN 10(2) (2004), 178-196 (in Russian).

 

[16] A. G. Chentsov, On the approximate validity of restrictions, Izv. Vuzov. Math. 2 (2011), 86-103.

 

[17] K. P. S. B. Rao and M. B. Rao, Theory of Charges: A Study of Finitely Additive Measures, Academic Press, London, 1983.

 

[18] A. G. Chentsov, About presentation of maximin in the game problem with constraints of asymptotic character, Vestnik Udm. Univ. Math. 3 (2010), 104-119 (in Russian).