A METHOD OF PRESENTING EXPERIMENTAL DEPENDENCIES IN SOLVING INVERSE PROBLEMS

Authors

Anatoliy Fyodorovich Verlan, G.E. Pukhov Institute for Modelling in Energy Engineering, Address: 15, General Naumov Str. Kyiv, 03164, Ukraine. E-mail: afverl@gmail.com;Follow
Miraziz Vorisovich Sagatov, Tashkent State Technical University, Address: 2 Universitetskaya st., 100095, Tashkent city, Republic of Uzbekistan. E-mail: informtgtu@mail.ru, Phone: +998-94-626-04-65.Follow

Abstract

Scientific interest in the creation, research and application of methods and means for solving inverse problems is determined by the need for the development of new methods of signal processing, as well as the increased complexity of inverse problems in relation to direct problems, since the latter are not correct from a mathematical point of view and have a number of peculiarities. Since the input information in inverse problems is experimental data determined with a certain error, the resulting solution can differ greatly from the exact solution. An arbitrary discretely given function of time can be approximated with a predetermined accuracy by solutions of a homogeneous linear difference equation with constant coefficients. Improvement in accuracy is achieved by applying the method of pseudoinverse matrices. A method of representing experimental dependences in the form of solutions of differential equations as dynamic models of a wide class of physical objects is considered. This approach is the basis of many identification methods in problems of dynamics.

First Page

62

Last Page

67

References

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Recommended Citation

Verlan, Anatoliy Fyodorovich and Sagatov, Miraziz Vorisovich (2021) "A METHOD OF PRESENTING EXPERIMENTAL DEPENDENCIES IN SOLVING INVERSE PROBLEMS," Chemical Technology, Control and Management: Vol. 2021: Iss. 5, Article 10.
DOI: https://doi.org/10.51346/tstu-02.21.5-77-0043