Applied Physics and Mathematics Annotation << Back Classical Lagrange problem-based sy nthesis of а program-corrected control st rate gy for a non-linear dy namic syste m I.I. Bugaets I.V. Nekrasov This article deals with one of the modern approaches of optimal control – building a synthesis function that realizes а programcorrected control strategy. When creating such control strategies authors traditionally apply discrete algorithms based on mathematical programming methods. This leads to the fact that classical methods of optimal control are ignored in spite of the obvious advantages they possess: high degree of stability and low computational complexity. The paper suggests a combined approach of optimal control actions synthesis: this approach uses the same program-corrected control strategy principles but bases the synthesis function on a classical Lagrange problem solution. As a result the new optimal control algorithm is created that incorporates the advantages of both mentioned approaches. Keywords: program-corrected control strategy, synthesis function, flexible phase path, optimal control, non-linear system, Lagrange problem, control accuracy. Contacts: E-mail: bugaets_@mail.ru Pp. 66-73.