Fuzzy Optimal Control under Generalized Differentiability of Fuzzy-number-valued Functions

In this paper optimal control problem of fuzzy linear time invariant systems is considered. Determining of system optimal input with minimizing quadratic integral criterion by using Pontryagin Minimum Principle will make the Fuzzy Partial Differential Equations [FPDEs] system solve the problem. The quality of obtaining system optimal input by solving the FPDEs system has been studied based on new definition of fuzzy functions differentiability. Finally, some examples illustrate the proposed method.