МОДЕЛЬ ПОБУДОВИ АДЕКВАТНОГО МАТЕМАТИЧНОГО ОПИСУ ПРОЦЕСУ ПЕРЕТВОРЮВАННЯ СИГНАЛУ В ЕЛЕКТРОННІЙ СИСТЕМІ
Journal Title: Математичне моделювання - Year 2018, Vol 1, Issue 1
Abstract
MODEL FOR CONSTRUCTING AN ADEQUATE MATHEMATICAL DESCRIPTION OF THE SIGNAL CON-VERSION PROCESS IN AN ELECTRONIC SYSTEM Meshaninov S.K. Abstract Safety and reliability of signal conversion in the electronic system is the most important criterion by which one can make an assessment of the appropriateness of using one or another version of the use of a complex of such equipment in each case, taking into account the re-quirements of accuracy, economy, safety, ergonomic and environmental standards. Considera-tion of the efficiency of any part of the measuring path is, in our opinion, the most expedient to make today with the use of a complex research method, which should be based on the con-cept of the object under consideration (or a part of it) as a complex technical system whose subsystems are in a certain interaction. The problem of constructing an adequate mathematical description of the process of sig-nal transformation in an electronic system is considered using the example of a dynamical sys-tem with concentrated parameters, the evolution of which is described by a linear system of ordinary differential equations. The problem of synthesizing an adequate mathematical description of the transformation of a signal in an electronic system can be formulated as follows: from the given matrices, it is necessary to construct a model of external action, with the use of which the results of mathe-matical modeling will coincide with a certain accuracy with the results of measurements. In other words, it is necessary to build a model of external influence that will give adequate re-sults of mathematical modeling using the previously chosen mathematical description (matrix). Such an approach for constructing a pair (mathematical description + external impact model) is not unique. It is also possible to first fix the model of external action (with some error), and then choose a mathematical description that would satisfy the conditions of adequacy. The formulation of the problem of synthesis of an adequate mathematical description of signal transformation processes in the electronic system is formulated, which are well de-scribed by ordinary differential equations. Specific features of the problem are considered and a method for finding a stable solution is proposed. The problem of synthesis for a class of op-erators was formulated for the first time. References [1] U.L. Мenshikov // Vestnik HGTU. – Herson, № 2 (15), – 2002, PP. 326–329. [2] U.L. Мenshikov. Vistnik KNU, Маtematika, – Kiev, – 2004, vip.2, С.310–315. [3] U.L. Мenshikov, N.V. Poliakov. Identifikatsiya modeley vneshnih vozdeystviy. –Vid-vo «Nauka ta Osvita», Dnipropetrovsk, – 2009, 188 p. [4] А.N. Tbhonov, V. Ya. Аrsenin, Мetody resheniya nekorrektnih zadach. – М.: Nauka, – 1979, 287 p. [5] S.Ya. Vilenkin // Avtomatika i telemehanika, – 1968, № 2, PP. 52–55. [6] U.L. Мenshikov Sb. Dynamika I prochnost tyazolih mashin. Dnepropetr. un-t, vip. 9, Dnepropetrovsk, – 1985, PP. 89–91. [7] U.L. Мenshikov, Obratnaya zadacha sinteza modeli vneshnego vozdeystviya. // Vestnik nats. teshnich. Un-ta HPI, Sb. nauch. trudov, –Harkov, 9’2002, T.8, PP. 132–136. [8] U.L. Мenshikov, А.G. Nakonechniy. Proc. of Problems of Decision making under Uncertainties (PDMU–2003)”. Int. Conf, September 8–12, – 2003, Kiev–Alushta. Ukraine. 2003. – PP. 80–82.
Authors and Affiliations
С. К. Мещанінов
Keywords
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- EP ID EP297271
- DOI 10.31319/2519-8106.1(38)2018.129053
- Views 77
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