Fuzzy Time-delay Dynamical Systems

Volume 2, Issue 1, pp 44--53 http://dx.doi.org/10.22436/jmcs.002.01.06

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Authors

M. H. Farahi - Department of Applied Mathematics, Ferdowsi University of Mashhad, Iran S. Barati - Department of Applied Mathematics, Ferdowsi University of Mashhad, Iran

Abstract

This paper investigates the first order linear fuzzy time-delay dynamical systems. We use a complex number representation of the \(\alpha\)-level sets of the fuzzy time-delay system, and obtain the solution by applying a Runge-Kutta method. Several examples are considered to show the convergence and accuracy of the proposed method. We finally present some conclusions and new directions for further research in this area.

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Keywords

• Time-delay dynamical systems
• fuzzy differential equations
• fuzzy matrices
• Runge-Kutta methods.

MSC

•  03E72
•  26E50
•  03B52
•  93C99
•  65L06
•  34A07

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