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Time optimal control problem of a class of fractional distributed systems. (English) Zbl 1245.49010

Summary: We consider a time optimal control problem of a system governed by a class of fractional semilinear evolution equations in the sense of the Caputo fractional derivative operator. Existence and uniqueness of mild solutions are proven. Then, fractional time optimal control problem of the target varying with time is formulated. The existence of fractional time optimal controls is also presented. Finally, an example is given to illustrate the effectiveness of the results obtained.

MSC:

49J27 Existence theories for problems in abstract spaces
34A08 Fractional ordinary differential equations
93C25 Control/observation systems in abstract spaces
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