# Optimal Solution for System of Kth-order Fuzzy Differential Equations

Volume 3, Issue 3, pp 346--356 Publication Date: October 21, 2011
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### Authors

F. Nobakht - Department of Electrical Engineering, Asrar University of Mashhad, Iran A. V. Kamyad - Department of Mathematics, Ferdowsi University of Mashhad, Iran Gh. Atazandi - Department of Electrical Engineering, Islamic Azad University Branch of Gonabad, Iran A. Zare - Department of Electrical Engineering, Islamic Azad University Branch of Gonabad, Iran

### Abstract

To solving fuzzy control problems ,classical method are not usually efficient .In this paper we proposed a new approach for solving this class of problem by linear programming problems(LPP).First we transfer the original problem to a new problem in form of calculus of variations. Then we discretize the new problem and solve it by using LPP packages Finally, efficiency of our approach is confirmed by some numerical example.

### Keywords

• Fuzzy differential equations
• AVK method
• Numerical method
• optimal control.

•  34A07
•  62K05
•  34H05
•  65M25

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