Methods of Simplifying Optimal Control Problems, Heat Exchange and Parametric Control of Oscillators

Methods of simplifying optimal control problems by decreasing the dimension space states are considered. For this purpose, transition to new phase coordinates or conversion class controls is used. The heat exchange and parametric oscillators given as examples: braking/swinging a pendulum changing length suspension variation energy molecules’ oscillations in crystal lattice state medium (exposure laser radiation). last problem corresponds changes temperature crystal.