Optimal boundary control of string vibrations with given shape of deflection at a certain moment of time
V Barseghyan, S Solodusha - … , MOTOR 2021, Irkutsk, Russia, July 5–10 …, 2021 - Springer
Mathematical Optimization Theory and Operations Research: 20th International …, 2021•Springer
We consider the problem of optimal boundary control of string vibrations with given initial
and final conditions and a given value of the string deflection function at some intermediate
time moment and with a quality criterion given over the entire time interval. It is controlled by
the displacement of one end while the other end is fixed. A constructive approach to
constructing the optimal boundary control action is proposed. A computational experiment
was carried out with the construction of the corresponding graphs and their comparative …
and final conditions and a given value of the string deflection function at some intermediate
time moment and with a quality criterion given over the entire time interval. It is controlled by
the displacement of one end while the other end is fixed. A constructive approach to
constructing the optimal boundary control action is proposed. A computational experiment
was carried out with the construction of the corresponding graphs and their comparative …
Abstract
We consider the problem of optimal boundary control of string vibrations with given initial and final conditions and a given value of the string deflection function at some intermediate time moment and with a quality criterion given over the entire time interval. It is controlled by the displacement of one end while the other end is fixed. A constructive approach to constructing the optimal boundary control action is proposed. A computational experiment was carried out with the construction of the corresponding graphs and their comparative analysis, which confirm the results obtained.
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