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math.OC2020
Solution of the unconditional extremum problem for a liner-fractional integral functional on a set of probability measures and its application in the theory of optimal control of semi-Markov processes
P. V. Shnurkov
In this paper, a new method for solving the problem of optimal control of semi-Markov processes with finitely many states is considered. A new form of the assertion on an extremum…
math.OC2019
Solution of the Unconditional Extremal Problem for a Linear-Fractional Integral Functional Depending on the Parameter
Peter Shnurkov, Kseniia Adamova
The paper is devoted to the study of the unconditional extremal problem for a fractional linear integral functional defined on a set of probability distributions. In contrast to re…
math.OC2017★ 1 cited
Optimal Control Problem in a Stochastic Model with Periodic Hits on the Boundary of a Given Subset of the State Set (Tuning Problem)
P. V. Shnurkov
In this paper, a general stochastic model with controls applied at the moments when the random process hits the boundary of a given subset of the state set is proposed and studied.…