Title: Time optimal control problem of a class of fractional distributed systems

Authors: JinRong Wang, Yong Zhou

Addresses: Department of Mathematics, Guizhou University, Guiyang, Guizhou 550025, China. ' Department of Mathematics, Xiangtan University, Xiangtan, Hunan 411105, China

Abstract: In this paper, 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. The existence and uniqueness of mild solutions is 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.

Keywords: fractional distributed systems; mild solutions; time optimal control; fractional semilinear evolution equations.

DOI: 10.1504/IJDSDE.2011.041881

International Journal of Dynamical Systems and Differential Equations, 2011 Vol.3 No.3, pp.363 - 382

Published online: 24 Jan 2015 *

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