A Hukuhara approach to the study of hybrid fuzzy systems on time scales
Omid Fard, Delfim Torres, Mohadeseh Zadeh
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Source: Crossref
Published: Jan 1, 2016
DOI: 10.2298/aadm160311004f
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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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