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Filters and Ultrafilters as Approximate Solutions in the Attainability Problems with Constraints of Asymptotic Character

DOI: 10.4236/iim.2010.29062, PP. 526-551

Keywords: Control problems, Ultrafilters, Topology

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Abstract:

Abstract problems about attainability in topological spaces are considered. Some nonsequential version of the Warga approximate solutions is investigated: we use filters and ultrafilters of measurable spaces. Attrac- tion sets are constructed. AMS (MOS) subject classification. 46A, 49 K 40.

 References

[1]  J. Warga, “Optimal Control of Differential and Functional Eguations,” Academic Press, New York, 1972.
[2]  R. V. Gamkrelidze, “Foundations of Optimal Control Theory,” Izdat. Tbil. Univ., Tbilissi, Russian, 1977.
[3]  N. N. Krasovskii, “The Theory of the Control of Motion,” Nauka, Moscow, Russian, 1968.
[4]  R. J. Duffin, “Linear Inequalites and Related Systems,” Annals of Mathematics Studies, Vol. 38, 1956, pp. 157- 170.
[5]  E. G. Gol‘stein, “Duality Theory in Mathematical Programming and Its Applications,” Nauka, Moscow, Russian, 1971.
[6]  N. N. Krasovskii and A. I. Subbotin, “Game-Theoretical Control Problems,” Springer Verlag, Berlin, 1988.
[7]  A. G. Chentsov, “Constructing Operations of the Limit Passage with the Emploument of Ultrafilters of Measurable Spaces,” Avtomatika i telemekhanika, Vol. 6, No. 11, 2007, pp. 208-222.
[8]  A. G. Chentsov and S. I. Tarasova, “Extensions of Abstract Analog of Unstable Control Problems,” Functional Differential Equations, Vol. 16, No. 2, 2009, pp. 237-261.
[9]  A. G. Chentsov, “Asymptotic Attainability,” Kluwer, Dor- drecht, 1997.
[10]  K. Kuratowski and A. Mostowski, “Set Theory,” North- Holland, Amsterdam, 1967.
[11]  N. Bourbaki, “General Topology,” Nauka, Moskow, Russian, 1968.
[12]  J. L. Kelley, “General Topology,” Van Nostrand, Prnceton, NJ, 1957.
[13]  R. Engelking, “General Topology,” PWN, Warszawa, 1977.
[14]  G. Cr?tzer, “General Lattice Theory,” Akademie-Verlag, Berlin, 1978.
[15]  J. Neveu, “Bases Math Matiques Du Calcul Des Probabilit s,” Masson, Paris, 1964.
[16]  A. G. Chentsov and S. I. Morina, “Extensions and Rela- xations,” Kluwer Academic Publishers, Dordrecht/ Boston/London, 2002.
[17]  A. G. Chentsov, “Some Constructions of Asymptotic An- alisis Connected with Stone-?ech Compactification,” Co- ntemporary Mathematics and its Applications, Vol. 26, 2004, pp. 119-150.
[18]  A. G. Chentsov, “Extensions of Abstract Problems of Attainability: Nonsequential Version. Proceedings of the Steklov Institute of Mathematics,” Suppl. 2, 2007, pp. S46-S82. Pleiades Publishing, Ltd., 2007.

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