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arXiv · 1603.03737

A Hukuhara approach to the study of hybrid fuzzy systems on time scales

Omid S. Fard·Delfim F. M. Torres·Mohadeseh R. Zadeh
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Abstract

We introduce a new approach to study the practical stability of hybrid fuzzy systems on time scales in the Lyapunov sense. Our method is based on the delta-Hukuhara derivative for fuzzy valued functions and allow us to obtain new interesting stability criteria. We also show the validity of the results of [M. Sambandham: Hybrid fuzzy systems on time scales, Dynam. Systems Appl. 12 (2003), no. 1-2, 217-227], by embedding the space of all fuzzy subsets into a suitable Banach space.

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Omid S. Fard, Delfim F. M. Torres, Mohadeseh R. Zadeh. 2016-03-11. A Hukuhara approach to the study of hybrid fuzzy systems on time scales. https://doi.org/10.2298/aadm160311004f

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