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Nonlinear physics and mechanics
Methods of Simplifying Optimal Control Problems,
Heat Exchange and Parametric Control of Oscillators
A. M. Tsirlin Program Systems Institute of RAS,
ul. Petra Pervogo 4a, Pereslavl-Zalessky, Yaroslavskaya obl., 152020 Russia
Аннотация:
Methods of simplifying optimal control problems by decreasing the dimension of the space of
states are considered. For this purpose, transition to new phase coordinates or conversion of the
phase coordinates to the class of controls is used. The problems of heat exchange and parametric
control of oscillators are given as examples: braking/swinging of a pendulum by changing the
length of suspension and variation of the energy of molecules’ oscillations in the crystal lattice by
changing the state of the medium (exposure to laser radiation). The last problem corresponds
to changes in the temperature of the crystal.
Ключевые слова:
change of state variables, problems linear in control, heat exchange with minimal
dissipation, parametric control, oscillation of a pendulum, ensemble of oscillators.
Поступила в редакцию: 31.01.2022 Принята в печать: 08.08.2022
Образец цитирования:
A. M. Tsirlin, “Methods of Simplifying Optimal Control Problems,
Heat Exchange and Parametric Control of Oscillators”, Rus. J. Nonlin. Dyn., 19:1 (2023), 35–48
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/nd837 https://www.mathnet.ru/rus/nd/v19/i1/p35
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