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1.
A. G. Chentsov 《Journal of Mathematical Sciences》2007,140(6):873-904
The paper considers the representations of attraction sets in topological spaces and their relations with the relaxation of
accessibility problems under the conditions of sequentially relaxed constraints. The author studies the structure of approximate
(in essence, asymptotic) solutions and generalized elements and establishes the possibility of their real identification for
a certain version (related to the Stone-Čech compactification and the Wallman relaxation) of relaxation of the initial problem.
__________
Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 26, Nonlinear
Dynamics, 2005. 相似文献
2.
S. V. Chentsov 《Russian Physics Journal》1995,38(9):936-940
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 79–83, September, 1995. 相似文献
3.
A. G. Chentsov 《Russian Mathematics (Iz VUZ)》2007,51(11):55-68
We consider a problem which implies the choice of a solution subject to asymptotic constraints. We represent the results as ultrafilters of the space of ordinary estimates (the space is not necessarily endowed with a topology). This representation corresponds to an abstract attainability problem in its nonsequential asymptotic version. 相似文献
4.
5.
A. G. Chentsov 《Russian Mathematics (Iz VUZ)》2011,55(2):75-89
We consider an abstract problem on fulfilling asymptotic constraints. We propose a very general approach to constructing “nonsequential” attraction sets in the space of generalized elements formalizable as finitely additive measures. We study the existence and the structure of the asymptote universal in the range of “asymptotic constraints” not requiring the compactifiability of the space of ordinary solutions. 相似文献
6.
An additive route problem with preceding conditions is considered in which the cost function and the move constraints both depend on a list of tasks that have not been performed by the current time. The problem is solved by applying a dynamic programming method that takes into account both these factors and is implemented in the construction of a (generally) incomplete array of Bellman function values. 相似文献
7.
8.
A. G. Chentsov 《Russian Mathematics (Iz VUZ)》2008,52(10):46-59
We consider an abstract guidance control problem with elements of uncertainty, where the control procedures are identified with set-valued quasistrategies. The goal of the control consists in the guidance to the objective set under phase constraints.We construct the solvability set by the method of program iterations which is well known in the theory of differential games. We prove that the limit of the iterative procedure has the sense of the set of positional absorption (the stable bridge) introduced by N. N. Krasovskii. This limit coincides with the solvability set in the class of quasistrategies. 相似文献
9.
A. A. Chentsov A. G. Chentsov P. A. Chentsov 《Proceedings of the Steklov Institute of Mathematics》2009,264(1):87-95
We discuss an approach to studying Fano manifolds based on Homological Mirror Symmetry. We consider some classical examples
from a new point of view.
To the cherished memory of our unforgettable teacher V.A. Iskovskikh 相似文献
10.