Projection operator of minimization and maximization of a linear functional with restrictions on the vector of admissible program motions

Abstract

Projection operator of minimization and maximization of a linear functional with restrictions on the vector of admissible program motions

Efremov A.A.

Incoming article date: 25.10.2024

The paper presents the formulation of problems of minimization and maximization of a linear functional with inequality constraints on the vector of admissible program motions and equality constraints specified by a linear manifold. An analytical solution is synthesized that determines the projection operator for solving the specified mathematical programming problems with equality constraints and inequalities. An analytical solution is obtained that determines the boundary values ​​of the Lagrange multiplier for the synthesized projection operator. The correctness of the obtained solution is illustrated.

Keywords: mathematical programming, linear functional, projection operators, admissible program motions, stabilization of program motions, SimInTech