Відкритий науковий архів
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Item Reduction principle of the mathematical model(2017-07-07) Matviychuk, Yaroslav; Lviv Polytechnic National UniversityThe detection and elimination principle of redundant elements in the mathematical model is proposed in this paper. The efficiency of the proposed approach has been analyzed based on the neural network model of economic system and differential equations model. Results prove the 16 times increasing in the model accuracy.Item Synthesis of determined system reconstracting the given random sequence(Overseas Publishers Associa, 1999) Matviychuk, YaroslavA synthesis method for the ordinary differential equations is proposed. Their solutions reconstruct the statistical properties of the given pseudo-random sequence. The method is illustrated by an example of simulating singular Lorenz attractor and the sequence of pseudo-random numbers whish are uniformly distributed within [0,1] interval.Item Syncronous generator macromodel(Odessa National Polytechnic University, 2006) Matviychuk, YaroslavThe regularised method of macromodel identification, based on the splitting of the signal spectrum and to select such basic functions of approximation, are described on the example of synchronous generator macromodel.Item Mathematical macromodeling of dynamic systems and examples of macromodels(Publishing House of Lviv Polytechnic National University, 2006) Matviychuk, YaroslavThe problems of macromodeling of continuous nonlinear dynamic systems with lumped constant parameters are considering. The common modeling structure in the form of the system of ordinary differential equations is shown. The regularised methods of its identification are described. The examples of macromodels of different complexity and nature are given.Item Definition of dynamic system dimension on an output signal through correlation dimension in a pseudo-phase space(Видавництво Львівської політехніки, 2005) Matviychuk, YaroslavThe universal method is described which allows to receive a reliable estimation of a nonlinear system dimension only by one scalar output signal, at this the estimation does not depends on what an output signal of the system is used.Item Numerical synthesis of the macromodel of generator with soft excitation of oscillations with the help of the second method of Lyapunov(Видавництво Національного університету «Львівська політехніка», 2004) Matviychuk, YaroslavTheoretical substantiation of a method for providing the convergence of a solution of mathematical model of an independent system to a given solution with the help of the second method of Lyapunov is considered. The method is illustrated by model of the self-oscillator, for which the conditions of "soft" excitation of oscillations are provided.