Granular Differentiability of Fuzzy-Number-Valued Functions

Mehran Mazandarani, Naser Pariz, Ali Vahidian Kamyad
2018 IEEE transactions on fuzzy systems  
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.
doi:10.1109/tfuzz.2017.2659731 fatcat:3y3xjorrzngmjndz5akrytzxqe