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Features and Application of Deterministic Analytical Modeling
Abstract
The main subject of discussion is deterministic analytical modeling, including its features and possible applications. The first section discusses the general organization of analytical modeling and presents its main implementation in the direction of deterministic, stochastic, and combined approaches. The second section deals with the use of mathematical approximations as an apparatus for discrete model investigation, presenting two sub-parts: the analytical approximation with a mathematical description and the application of analytical modeling in the study of power electronic converter. The next two sections are devoted to the application of graphs and Petri nets for the realization of deterministic models and their investigation, with presenting selected examples for illustration. The last section of the chapter discusses pseudo-stochastic analytical modeling, which is a deterministic variant of the description of processes that are stochastic in nature. This part makes a transition to the stochastic approaches in the next chapter.
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