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Autor:
Vjacheslav V. Provotorov
Publikováno v:
2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the memory of V.F. Demyanov) (CNSA).
In this paper, we study the problem of the existence a weak solution nonlinear differential systems with distributed parameters in a netlike connected bounded domain. The results are the basis of the analysis the optimal control problems for differen
Autor:
Fedor S. Stonyakin
Publikováno v:
2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the memory of V.F. Demyanov) (CNSA).
We consider the main properties of compact subdifferentials for mappings of a real segment into locally convex spaces. On the basis of compact subdifferentials and other related non-smooth characteristics some Radon-Nikodym type theorems for the Boch
Autor:
Oleg V. Baskov, V. D. Noghin
Publikováno v:
2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the memory of V.F. Demyanov) (CNSA).
An axiomtic approach to the problem of Pareto set reduction is considered. A decision maker is asked questions in order to elicit information on his/her fuzzy binary preference relation. A program is described that uses the obtained fuzzy information
Publikováno v:
2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the memory of V.F. Demyanov) (CNSA).
Algorithms for constructing the optimal result function are proposed for a planar velocity problem with a circular velocity vectogram and a nonconvex target set with smooth boundary. The algorithms work with the case where the solution of the problem
Autor:
Vitaly Zhadan
Publikováno v:
2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the memory of V.F. Demyanov) (CNSA).
The linear semidefinite programming problem is considered. The primal and dual simplex-like algorithms are proposed for its solution. Both algorithms are generalizations of well-known simplex methods for linear programming. Under assumption that stri
Autor:
Igor V. Orlov
Publikováno v:
2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the memory of V.F. Demyanov) (CNSA).
A connection between basic concepts of the sublinear compact-valued operator theory and basic concepts of the strong subdifferential calculus is demonstrated. A generalization of the open mapping principle to the sub-operators is obtained.
Publikováno v:
2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the memory of V.F. Demyanov) (CNSA).
The propagation of applications the problem of optimal boundary control of a parabolic system with delay and distributed parameters on the graph. The necessary and sufficient conditions for the existence of an optimal control system using the dual st
Autor:
Fedor S. Stonyakin
Publikováno v:
2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the memory of V.F. Demyanov) (CNSA).
In this paper a new special class of separable normed cones is selected by us. This class includes cones in normed spaces as well as cones in linear spaces with asymmetric norms. Examples of separable normed cones that do not admit a linear injective
Autor:
Mariana Lopushanski
Publikováno v:
2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the memory of V.F. Demyanov) (CNSA).
In this work we present different results for weakly convex sets is spaces with asymmetric seminorm. We present the theorem for the well-posedness of the closest points problem and the Separation Theorem for weakly and strongly convex sets w.r.t. a q
Autor:
Mikhail Voloshin
Publikováno v:
2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the memory of V.F. Demyanov) (CNSA).
In this paper, the problem of stability of solutions of a class of nonlinear switched difference systems is studied. It is assumed that the nonlinearities satisfy certain sector type constraints. Systems of this kind appear in the modeling of many re