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 Tr. Inst. Mat., 2014, Volume 22, Number 1, Pages 6–23 (Mi timb205)

An analysis of behavior of fuzzy differential equations with switching solutions

A. S. Bychkov

National Taras Shevchenko University of Kyiv

Abstract: In this paper we investigate the stability of solutions of a new class of fuzzy differential equations with switching. We introduce the concept of fuzzy hybrid automata and a hybrid trajectory as a generalized formalism for switching systems. Also, we introduce the concept of fuzzy stability and theorems giving the sufficient conditions for stability.

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Citation: A. S. Bychkov, “An analysis of behavior of fuzzy differential equations with switching solutions”, Tr. Inst. Mat., 22:1 (2014), 6–23

Citation in format AMSBIB
\Bibitem{Byc14} \by A.~S.~Bychkov \paper An analysis of behavior of fuzzy differential equations with switching solutions \jour Tr. Inst. Mat. \yr 2014 \vol 22 \issue 1 \pages 6--23 \mathnet{http://mi.mathnet.ru/timb205}