Linear optimal control problems

Author: nino bregvadze
Keywords: optimal, control, linear, differential
Annotation:

The project deals with the problem of linear optimal in terms of minimizing the amount of time (Speeding task). The article provides necessary conditions of optimality: The optimal management of point of maximum principle and the optimal time for the final form of inequality. In addition, some of the theorems and the existence of an optimal control structure. Theorem 2.1 is proved in paragraph 4 of the main paper. At the end of the two-dimensional problems are discussed to illustrate this point from the coordinate space of the transition of power in minimum time. Specific starting point (discussed four cases) is built for optimal control and trajectory, computed optimal time to move to the head. Construction and trajectory calculations are performed using mathematica-9.

Lecture files:

ოპტიმალური მართვის წრფივი ამოცანები [ka]