M.Ya. Najafova.
On a discrete nonlocal optimal control problem with a non-typical quality criterion
We investigate a discrete optimal control problem described by an ordinary difference equation with nonlocal boundary conditions and a Moiseyev-type functional (with an untyped quality criterion). Under various assumptions, the necessary first-order optimality conditions are proved.
Keywords: Discrete optimal control problem, Special formula for functional increment, Moiseyev type functional, Admissible control, Necessary optimality condition, Analogue of Euler’s equation
DOI: https://doi.org/10.54381/icp.2024.2.03
On a discrete nonlocal optimal control problem with a non-typical quality criterion
We investigate a discrete optimal control problem described by an ordinary difference equation with nonlocal boundary conditions and a Moiseyev-type functional (with an untyped quality criterion). Under various assumptions, the necessary first-order optimality conditions are proved.
Keywords: Discrete optimal control problem, Special formula for functional increment, Moiseyev type functional, Admissible control, Necessary optimality condition, Analogue of Euler’s equation
DOI: https://doi.org/10.54381/icp.2024.2.03