Open AccessOn a Mathematical Model of the Second-Order Measuring Transducer
Author(s) -
A.A. Zamyshlyaeva,
Е.V. Bychkov,
O.N. Tsyplenkova,
G. A. Sviridyuk
Publication year - 2021
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 - 10.1088/1742-6596/1864/1/012069
Subject(s) - basis (linear algebra) , mathematics , transducer , order (exchange) , accelerometer , sobolev space , mathematical model , type (biology) , control theory (sociology) , mathematical analysis , calculus (dental) , computer science , control (management) , physics , acoustics , geometry , medicine , statistics , dentistry , finance , artificial intelligence , economics , operating system , ecology , biology
The paper discusses a mathematical model of the second-order measuring transducer, which is based on the Lagrange equation of the second kind. On the basis of the theory of high-order Sobolev-type equations and optimal control of solutions to the Showalter – Sidorov problem, a theorem on the existence of an optimal dynamic measurement is obtained. Second-order sensors such as accelerometers, two-link oscillators and some other systems can be investigated in the framework of this mathematical model.