Structural and Parametric Identification of Knowm Memristors

This paper proposes a novel identification method for memristive devices using Knowm memristors as an example. The suggested identification method is presented as a generalized process for a wide range of memristive elements. An experimental setup was created to obtain a set of intrinsic I–V curves for Knowm memristors. Using the acquired measurements data and proposed identification technique, we developed a new mathematical model that considers low-current effects and cycle-to-cycle variability. The process of parametric identification for the proposed model is described. The obtained memristor model represents the switching threshold as a function of the state variables vector, making it possible to account for snapforward or snapback effects, frequency properties, and switching variability. Several tools for the visual presentation of the identification results are considered, and some limitations of the proposed model are discussed.

Identification of UAV model parameters from flight and computer experiment data

The object of research in the article is various well-known approaches and methods of structural and parametric identification of dynamic controlled objects - unmanned aerial vehicles (UAVs). The subject of the research is the parameters of linear and nonlinear mathematical models of spatial and isolated movements, describing the dynamics and aerodynamic properties of the UAV and obtained both from the results of flight experiments and using computer object-oriented programs for 3-D UAV models. The goal is to obtain mathematical models of UAV flight dynamics in the form of differential equations or transfer functions, check them for reliability and the possibility of using them in problems of synthesis of algorithms for automatic control systems of UAVs. Tasks to be solved: evaluation of the analytical (parametric), direct (transient), as well as the identification method using the 3-D model of the control object. Methods used structural and parametric identification of dynamic objects; the determination of static and dynamic characteristics of mathematical models by the type of their transient process; the System Identification Toolbox package of the MatLab environment, the Flow Simulation subsystem of the SolidWorks software and the X-Plane software environment. The experimental parameters of UAV flights, as well as the results of modeling in three-dimensional environments, are the initial data for the identification of mathematical models. The following results were obtained: the possibility of analytical and computer identification of mathematical models by highly noisy parameters of the UAV flight was shown; the mathematical models of UAVs obtained after identification is reliable and adequately reproduce the dynamics of a real object. A comparative analysis of the considered UAV identification methods is conducted, their performance and efficiency are confirmed. Conclusions. The scientific novelty of the result obtained is as follows: good convergence, reliability and the possibility of using the considered identification methods for obtaining mathematical models of dynamic objects to synthesize algorithms for automatic control systems of UAVs is shown.

Mathematical modelling of acute phase of myocardial infarction

A mathematical model of the dynamics of cardiomyocyte death in myocardial infarction during the acute phase of the disease is developed. An economical computing technology of structural and parametric identification of model equations is presented based on the use of experimental data as dynamic parameters and on the idea of splitting the inverse coefficient problem with a large number of unknown parameters into a sequence of simpler inverse problems. The relevance of the proposed mathematical model is confirmed by comparison of the numerical solution to the problem with experimental data and also with the results of modelling of known therapeutic strategies.

ANALYSIS OF INPUT INFLUENCING FACTORS AND SELECTION OF THE TYPE OF A MATHEMATICAL MODEL AT THE STAGES OF THEIR STRUCTURAL AND PARAMETRIC IDENTIFICATION FOR STUDYING DEFORMATION STATE OF THE SAYANO-SHUSHENSKAYA HPP DAM IN 2013-2016

Assessment of the operational state of a hydraulic structure and its technical safety should be carried out by comparing the obtained quantitative and qualitative diagnostic indicators with their criteria values. For this purpose, predictive mathematical models of the structure's behavior should be developed, which are recommended to be calibrated according to field observations. The article considers features of constructing predictive mathematical models for studying deformation process of displacements of the dam crest of the Sayano-Shushenskaya hydroelectric power plant. For various combinations of input influencing factors, including the results of field observations and calculated values of component displacements, the most successfully designed predictive mathematical models were studied, on the basis of which the dam body points were forecasted for stages of its operation in different times. The advantages of using the created forecast models for various temperature conditions of the structure (medium, warm and cold temperatures of year) are presented.

COMPARATOR IDENTIFICATION OF THE MULTI-FACTOR EVALUATION MODEL OF ALTERNATIVES USING THE BAGGING METHOD

Proponent one step before the solution of the problem to induce a mathematical model of a multi-factor assessment of alternatives, which is based on the ideas of the theory of comparator identification. Methods of structural and parametric identification are seen. The structure of the model is established within the framework of the Kolmogorov-Gabor polynomial, which allows the synthesis of both traditional additive and multiplicative, as well as models of a multi-factor assessment of alternatives to present folding. To increase the accuracy of the model, a victorious ensemble of models is proposed, aggregating that work on the basis of the running method. The results of a computer model have been introduced, which will confirm the effectiveness of the described approach. Propagation of ideas based on the prospect of advancing the effectiveness of the identification of models for expert assessment of alternatives.