Abstract: The report is devoted to the application of discrete-time controlled dynamical economic and mathematical models of production systems for solving the problem of constructing and minimax estimation of its final predictive set (the final reachability set of the system). On a given integer time interval, an economic and mathematical model of a controlled production system (controlled dynamical system) is considered, which is described by a system of linear discrete-time recurrent equations. In each period of time, the values of the control action are bounded by the corresponding nonempty convex compact polyhedron, and the values of the phase vector of the dynamical system are bounded by the corresponding finite joint system of linear algebraic equations and inequalities. In the article describes the formalization of the problem of minimax estimation of the final predictive set of phase vectors of the dynamical system under consideration, as well as the proposed algorithm for its solution. The results obtained in the article can be used to constructing intelligent computer systems for information support in solving actual technical, economic and medical problems.

Cite: Shorikov A.F.
Minimax Estimation of the Forecast Set of the Dynamical Economic and Mathematical Model of the Production System
The 14th International Conference: «Application of Mathematics in Technical and Natural Sciences (AMiTaNS'22)» 22-27 Jun 2022