2 citations · 5 across the 6 of their papers we have counts for
6 papers
On a construction of a partially non-anticipative multiselector and its applications to dynamic optimization problems
Dmitrii A. Serkov
Let the sets of functions and be given on the time interval , let there also be a multifunction (m/f) acting from to and a finite set of moments from …
Unlocking of predicate: application to non-anticipating selections
D. A. Serkov
We consider an approach to constructing a non-anticipating selection of a multivalued mapping; such a problem arises in control theory under conditions of uncertainty. The approach…
On approximation of joint fixed points
Dmitrii Serkov
For a given partially ordered set (poset) and a given family of mappings of the poset into itself, we study the problem of the description of joint fixed points of this family. Wel…
On fixed points of multivalued mappings
Dmitrii Serkov
The paper discusses the conditions for the existence of fixed points of multivalued mappings that are not based on the linear structure of the set. The descriptions for the sets of…
Guaranteed control design under -compact constraints on the disturbance
Dmitrii A. Serkov
The paper deals with the problem of optimization of a guaranteed (worst case) result for a control system described by an ordinary differential equation. The disturbances as functi…
On non-improvability of full-memory strategies in problems of optimization of the guaranteed result
Dmitrii Serkov
The paper addresses the problem of optimization of a guaranteed (worst case) result for a control system driven by a controlling side in presence of a dynamical disturbance. The di…