Fuzzy Time-delay Dynamical Systems
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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.
Share and Cite
ISRP Style
M. H. Farahi, S. Barati, Fuzzy Time-delay Dynamical Systems, Journal of Mathematics and Computer Science, 2 (2011), no. 1, 44--53
AMA Style
Farahi M. H., Barati S., Fuzzy Time-delay Dynamical Systems. J Math Comput SCI-JM. (2011); 2(1):44--53
Chicago/Turabian Style
Farahi, M. H., Barati, S.. "Fuzzy Time-delay Dynamical Systems." Journal of Mathematics and Computer Science, 2, no. 1 (2011): 44--53
Keywords
- Time-delay dynamical systems
- fuzzy differential equations
- fuzzy matrices
- Runge-Kutta methods.
MSC
- 03E72
- 26E50
- 03B52
- 93C99
- 65L06
- 34A07
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