MATHEMATICS

Application of the problem of speed for realizing of a given motion of a dynamic system

E. A. Ruzhitskaya, G. L. Karaseva

F. Scorina Gomel State University

Abstract: The problem of the given motions realization by dynamic systems is investigated. Using the optimal control methods current values of limited optimal feedbacks are calculated with the help of solution of special auxiliary optimal control problems — speed problems. The results are illustrated by the example of the second order dynamical system, realizing a limited cycle.

Keywords: stabilization, optimal feedback, dynamic system, speed problem, optimal control problem, problem of realizing given motions.

UDC: 517.977

Received: 11.01.2019