dc.contributor.author Verlan, Andriy dc.contributor.author Sterten, Jo dc.contributor.author Polozhaenko, Sergiy dc.date.accessioned 2018-02-02T11:48:52Z dc.date.available 2018-02-02T11:48:52Z dc.date.created 2018-01-31T13:13:25Z dc.date.issued 2017 dc.identifier.citation ELECTROTECHNIC AND COMPUTER SYSTEMS. 2017, 24 (100), 143-150. nb_NO dc.identifier.issn 2221-3937 dc.identifier.uri http://hdl.handle.net/11250/2482373 dc.description.abstract It is shown that the class of adequate mathematical models of dynamic objects of varying complexity is integrated model, built on the principle "input - output". It is important that this class of models, presented as a macro model of the object based on its input and output, suitable for linear and nonlinear modeling tasks productions. The most convenient form of descriptions of integrated macro models should be considered Volterra equations, numerical solution which is most often performed by a quadrature. It is noted that the main disadvantage of the use of quadrature formulas in the procedures of the approximate (numerical) integration is a significant error on large intervals of integration. Obvious known ways of minimizing errors of quadrature formulas on the selected class of functions should be considered a rational choice of the coefficients for quadrature formulas, as well as components and integration steps. Moreover, the accumulation of errors to increase the number of steps is determined not so much by the size of the step, as by replacing the original integral by a finite sum. The latter circumstance is important for modeling of objects in the real-time integration interval may be large or even unknown. To improve the accuracy of quadrature formulas procedure consisting in the expansion of the numerical integration of the original integral into two and apply for each of the last of its quadrature rules (for example, a combination of open and closed types of formulas of Newton-Cotes) can be offered. The increase in computing speed in the implementation of the integrated macro models based on Volterra models is achieved by using the method of degenerate cores, a feature of which is the same amount calculation step. Proposed fast algorithms for computing the design implementation of integrated macro models, providing calculations in real-time. Keywords: macro model, integral equations, quadrature formulas, modeling error, computational algorithm, fast calculators. nb_NO dc.language.iso rus nb_NO dc.publisher Odessa National Polytechnic University nb_NO dc.relation.uri http://etks.opu.ua/ dc.rights Navngivelse 4.0 Internasjonal * dc.rights.uri http://creativecommons.org/licenses/by/4.0/deed.no * dc.title Algorithm implementation of integrated macromodel explicit form nb_NO dc.type Journal article nb_NO dc.type Peer reviewed nb_NO dc.description.version publishedVersion nb_NO dc.source.pagenumber 143-150 nb_NO dc.source.volume 24 nb_NO dc.source.journal ELECTROTECHNIC AND COMPUTER SYSTEMS nb_NO dc.source.issue 100 nb_NO dc.identifier.cristin 1558559 dc.description.localcode © 2017 The Authors. Published by Odessa National Polytechnic University. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/ nb_NO cristin.unitcode 194,64,94,0 cristin.unitname Institutt for vareproduksjon og byggteknikk cristin.ispublished true cristin.fulltext original
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