Browsing NTNU Open by Author "Verlan, Andriy"
Now showing items 1-8 of 8
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Algorithm implementation of integrated macromodel explicit form
Verlan, Andriy; Sterten, Jo; Polozhaenko, Sergiy (Journal article; Peer reviewed, 2017)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 ... -
Algorithmization of the methods of the accurate parametric reduction of mathematical models
Verlan, Andriy; Verlan, Anatolii; Polozhaenko, Sergiy (Journal article; Peer reviewed, 2017)On the basis of the presented parametric reduction principle, approaches are proposed to algorithm the processes of simplification of mathematical models, as well as a group of operations that ensure the construction and ... -
Computer modelling of drill string of an oilwell drilling rig
Verlan, Andriy; Fedorchuk, V.A. (Chapter, 2018)The article considers the questions of construction and computer realization of the mathematical model of drill string of a drilling rig. An approximation model is proposed in the form of systems of ordinary differential ... -
Method of construction of specialized algorithms for solving differential equations
Verlan, Andriy (Journal article; Peer reviewed, 2017)Considered the problem of optimization of the process of constructing specialized algorithms for the given form nonlinear ordinary differential equations systems’ numerical solution. The problem is reduced to the determination ... -
Method of regularizing the problem of recovery of input signals of dynamic objects
Verlan, Andriy; Sterten, Jo; Furtat, Yurii (Journal article; Peer reviewed, 2016)The task of signal recovery is one of the most important for automated diagnostics and control systems. This task is computationally complex, especially in the case of multiple heterogeneous errors in the signals and ... -
On the Choice of Numerical Methods for Solving Dynamic Equations for Control Systems with Embedded Calculating Tools
Verlan, Andriy; Fedorchuk, V.A. (Journal article; Peer reviewed, 2017)Approaches to choice of optimum method as for accuracy and amount of computation at the integration step that makes it possible to range numerical implementation methods for different levels of acceptable error based on ... -
On the Representation of Non-Linear Functions by Fractional-Power Series
Verlan, Andriy; Sterten, Jo (Journal article; Peer reviewed, 2014)A method for approximation of relationships by polynomials containing fractional-power terms is proposed, which in many cases makes it possible to cut down the number of computations. The proposed method for representation ... -
Simplification of mathematical models of objects with distributed parameters by the method of splitting
Verlan, Andriy; Ivanyuk, Volodymyr (Journal article; Peer reviewed, 2017)The article considers the methods of constructing simplified models of multidimensional heat conduction problems in the form of one-dimensional problems' solutions' products. The effectiveness of the proposed approach is ...