Study of an Approximation Process of Time Optimal Control for Fractional Evolution Systems in Banach Spaces
© JinRong Wang and Yong Zhou. 2011
Received: 1 October 2010
Accepted: 9 December 2010
Published: 14 December 2010
The paper is devoted to the study of an approximation process of time optimal control for fractional evolution systems in Banach spaces. We firstly convert time optimal control problem into Meyer problem. By virtue of the properties of the family of solution operators given by us, the existence of optimal controls for Meyer problem is proved. Secondly, we construct a sequence of Meyer problems to successive approximation of the original time optimal control problem. Finally, a new approximation process is established to find the solution of time optimal control problem. Our method is different from the standard method.
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