Mathematics

Approximate solution of an optimal control problem with linear nonhomogeneous control system in Hilbert space

V. P. Kurdyumov

Saratov State University, Chair of Differential Equations and Applied Mathematics

Abstract: For an optimal control problem with a linear differential equation in Hilbert space and quadratic criteria necessary and sufficient conditions of control functions optimality and approximate formulas of the expansions of these functions in eigenfunctions of the control system operator have been obtained.

Key words: Riesz basisness, resolvent, optimal control, infinite matrix.

UDC: 512.66+513.83

DOI: 10.18500/1816-9791-2010-10-3-3-14