Piecewise Constant Controlled Linear Fuzzy Differential Inclusions
А. В. ПлотниковDepartment of Applied and Calculus Mathematics and CAD,Odessa State Academy of Civil Engineering and Architecture, Odessa, 65026, UkraineTatyana A. KomlevaDepartment of Mathematics, Odessa State Academy of Civil Engineering and Architecture, Odessa, 65026, Ukraine
2013en
ABI
Abstract
In this article we consider the some properties of the fuzzy R-solution of the controlled linear fuzzy differential inclusions. Also, many engineering systems use piecewise constant controls. However the majority of results of the theory of optimum control are received for measurable controls. In the given paper we introduce the algorithm of replacement of measurable control on piecewise constant control so that the corresponding fuzzy R-solutions of linear fuzzy systems would be close (with necessary accuracy)
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Cited by 30 references