Abstract
This paper presents an extension to fractional optimal control problems with ambiguity. As the ambiguity is modeled with fuzzy method, we encounter with a fuzzy fractional optimal control problem. The objective in fuzzy fractional optimal control problem is to determine the best possible fuzzy control which satisfies the related fuzzy fractional dynamic systems and minimizes the fuzzy performance index. Here, the fractional derivative is described in the Caputo sense. To find the solution, first we state some definitions and prove some required theorems. Then, we employ the obtained result to determine the necessary conditions. Furthermore, we show that the obtained necessary optimality conditions become sufficient by considering some extra assumptions. Finally, some examples are presented for more illustration of the subject.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
