Open AccessStarting control of vibrations of points of a rectangular membrane
Author(s) -
М. Тухтасинов,
G. M. Abdualimova
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1479/1/012048
Subject(s) - control (management) , saddle point , vibration , set (abstract data type) , control theory (sociology) , fixed point , position (finance) , control function , point (geometry) , saddle , function (biology) , mathematics , membrane , computer science , mathematical analysis , mathematical optimization , physics , geometry , chemistry , artificial intelligence , acoustics , biochemistry , finance , evolutionary biology , economics , biology , programming language
The problem of starting control of the vibration of points of a rectangular membrane with fixed boundaries is considered. The concept of implemented functions for these membrane points is introduced. For each function being implemented, valid controls are defined that form the control sets. The structure of the control set is studied. The problem is solved in the game setting, the initial player controls the initial position of the membrane, the second, the initial speed. The criterion of the quality of control is determined by the control standards with which the functional is built. The saddle point of the functional and the equilibrium situation of the game are found.