Wang, Jinrong; Zhou, Yong Time optimal control problem of a class of fractional distributed systems. (English) Zbl 1245.49010 Int. J. Dyn. Syst. Differ. Equ. 3, No. 3, 363-382 (2011). 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. Cited in 5 Documents MSC: 49J27 Existence theories for problems in abstract spaces 34A08 Fractional ordinary differential equations 93C25 Control/observation systems in abstract spaces Keywords:fractional distributed systems; mild solutions; time optimal control; fractional semilinear evolution equations PDFBibTeX XMLCite \textit{J. Wang} and \textit{Y. Zhou}, Int. J. Dyn. Syst. Differ. Equ. 3, No. 3, 363--382 (2011; Zbl 1245.49010) Full Text: DOI