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The News of Altai State University
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Content of 1(53) 2007
Mathematics and Computer Science
Mathematics and Computer Science

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V.A. Kozhuhar, S.G. Pushkov

The realization problem for linear dynamical systems over fuzzy numbers

The state space realization problem for discrete-time linear dynamical systems over fuzzy numbers is considered. A concept of discrete-time linear dynamical system over fuzzy numbers is introduced. A sufficient criterion of the fuzzy algebraic realizability for sequence of matrices over fuzzy numbers is formulated and proved. A method for finding fuzzy algebraic realizations for sequence of matrices with positive fuzzy triangular numbers is presented. A numerical example illustrates our results.

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