@misc{Kryazhimskii_Arkadii_Optimization, author={Kryazhimskii, Arkadii}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, abstract={For a class of infinite-dimensional minimization problems with nonlinear equality constraints, an iterative algorithm for finding global solutions is suggested. A key assumption is the convexity of the "epigraph", a set in the product of the image spaces of the constraint and objective functions. A convexification method involving randomization is used. The algorithm is based on the extremal shift control principle due to N.N. Krasovskii. An application to a problem of optimal control for a bilinear control system is described.}, type={artykuł}, title={Optimization problems with convex epigraphs. Application to optimal control}, keywords={nonconvex optimization, global optimization methods}, }