Triggiani, Roberto- ed. ; Maksimov, Vyacheslav I. - ed.
Mathematical Methods of Optimization and Control of Large-Scale Systems
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.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 11, number 4 (2001) ; click here to follow the link
Biblioteka Uniwersytetu Zielonogórskiego
Sep 3, 2021
Jul 21, 2021
|Optimization problems with convex epigraphs. Application to optimal control||Sep 3, 2021|
El Mouatasim, Abdelkrim Ellaia, Rachid Souza de Cursi, José E. Korbicz, Józef - red. Uciński, Dariusz - red.
Kryazhimskii, Arkadii Korbicz, Józef - red. Uciński, Dariusz - red.