Study of an Approximation Process of Time Optimal Control for Fractional Evolution Systems in Banach Spaces

Advances in Difference Equations

JinRong Wang¹  Yong Zhou² 

[1] Department of Mathematics, Guizhou University, Guiyang, China;Department of Mathematics, Xiangtan University, Xiangtan, China

关键词: Differential Equation;    Banach Space;    Standard Method;    Partial Differential Equation;    Ordinary Differential Equation;   

DOI  :  10.1155/2011/385324

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY