“Cut-Glue” Approximation Method for Strongly Nonlinear and Multidimensional Object Dependencies Modeling

Neydorf, Rudolf; Neydorf, Anna; Vucinic, Dean

doi:10.1007/978-3-319-59590-0_13

Cited by 5 publications

(10 citation statements)

References 17 publications

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“…Scientists of the Don state technical university have been conducting research in this direction for a long time. [13,14]. The results of our research can be used in the process of training bachelors and masters in the field of Biotechnical systems and technologies.…”

Section: Itse-2020mentioning

confidence: 82%

Application of multidimensional scaling method for analysis of EEG features in patients with dyscirculatory encephalopathy

et al. 2020

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The object of our work is to test the possibility of using the method of multidimensional scaling to identify the features of EEG in order to classify subjects in patients with dyscirculatory encephalopathy and healthy people by establishing differences in the graphs of the dynamics of the location of vectors in the multidimensional coordinate space. For healthy subjects, in almost all tests, there is a coincidence or close location of the spatial coordinates of the multidimensional scaling. For patients with dyscirculatory encephalopathy, there is no marked coincidence of coordinates; however, in some cases it is possible to group the data into local areas according to individual tests. The use of the method of multidimensional scaling in the diagnosis of dyscirculatory encephalopathy allows the analysis of the patient's condition, makes it possible to identify the degree of the disease

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Section: Itse-2020mentioning

confidence: 82%

Application of multidimensional scaling method for analysis of EEG features in patients with dyscirculatory encephalopathy

et al. 2020

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“… of the n th degree with constant coefficients, which leads equality (7) to an equivalent polynomial equation for unknown coefficients ( ), 1,…”

Section: Synthesis Of a Control System By Methods Of Quasilinear Modelsmentioning

confidence: 99%

“…As applied to nonlinear control objects with the connection topology of elements unknown to the researcher, an experimental approach is usually used to construct their mathematical models. It is based on comparing the test actions fed to the inputs of the object with the reactions to these actions [2,[5][6][7]. The obtained experimental data are approximated by suitable mathematical functions.…”

Section: Introductionmentioning

confidence: 99%

“…In the case of complex systems and processes, experimental data are distributed nonlinearly, so it is difficult to derive the approximating function, and it is impossible to derive without computing. In these cases, a "piecewise" (fragmentary) approach is used [6][7][8]. Such fragmentary mathematical models describe experimental data rather accurately, but they are not analytical.…”

Section: Introductionmentioning

confidence: 99%

“…Such fragmentary mathematical models describe experimental data rather accurately, but they are not analytical. New Cut-Glue Approximation Method (CGA) allows you to additively and then multiplicatively combine fragmentary models into a single analytical CGA model [7,8]. The study of the structure and properties of CGA-models showed that they provide the possibility of analytical synthesis of ACS.…”

Section: Introductionmentioning

confidence: 99%

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Application of quasilinear and CGA models for designing significantly nonlinear control systems

Neydorf

Gaiduk²,

Kudinov

et al. 2020

E3S Web Conf.

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To create control systems, mathematical models of objects are required, which often have to be obtained experimentally. In this case, the numerical data of experiments on the identification of essentially nonlinear objects can be satisfactorily approximated only in certain areas, which leads to fragmentary models that are not analytical. In these cases, when only fragmentary models are adequate, it is proposed to apply the new Cut-Glue approximation method, which allows obtaining a model with analytical properties. The proposed approach to the unification of the Cut-Glue approximation method is demonstrated by solving the problem of synthesizing a nonlinear airship altitude control system and studying it.

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Application of Cut-Glue Approximation in Analytical Solution of the Problem of Nonlinear Control Design

Gaiduk

Neydorf

Kudinov

2019

Cyber-Physical Systems: Industry 4.0 Challenges

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“Cut-Glue” Approximation Method for Strongly Nonlinear and Multidimensional Object Dependencies Modeling

Cited by 5 publications

References 17 publications

Application of multidimensional scaling method for analysis of EEG features in patients with dyscirculatory encephalopathy

Application of multidimensional scaling method for analysis of EEG features in patients with dyscirculatory encephalopathy

Application of quasilinear and CGA models for designing significantly nonlinear control systems

Application of Cut-Glue Approximation in Analytical Solution of the Problem of Nonlinear Control Design

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