English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper, a general stochastic model with controls applied at themoments when the random process hits the boundary of a given subset of thestate set is proposed and studied. The general concept of the model isformulated and its possible applications in technical and economic systems aredescribed. Two versions of the general stochastic model, the version based onthe use of a continuous-time semi-Markov process with embedded absorbing Markovchain and the version based on the use of a discrete-time Markov process withabsorbing states, are analyzed. New representations of the stationary costindex of the control quality are obtained for both versions. It is shown thatthis index can be represented as a linear-fractional integral functional of twodiscrete probability distributions determining the control strategy. Theresults obtained by the author of this paper about an extremum of suchfunctionals were used to prove that, in both versions of the model, the controlis deterministic and is determined by the extremum points of functions of twodiscrete arguments for which the explicit analytic representations areobtained. The perspectives of the further development of this stochastic modelare outlined.

Optimal Control Problem in a Stochastic Model with Periodic Hits on the Boundary of a Given Subset of the State Set (Tuning Problem)