改进的时间最优控制的实现条件

THE IMPROVEMENT ABOUT REALIZING CONDITION OF TIME-OPTIMAL CONTROL

本文是作者在［２］、［３］中所做工作的继续，主要是给出［２］、［３］中有关结论的一个典型应用：文［１］给出了时间最优控制理论的三个重要定理，但限制条件太强，适用性较差，本文将这些条件做了极大的削弱，并证明了相应结论仍然成立．同时，也为Ｂａｎａｃｈ空间中算子理论及相应几何问题的分析处理，提供了一种思路和方法．

The works in this paper is the continuation of the works in reference [2]. [3],the main works is to give a typical application of some conclusions in [2] .[3]:Reference [1] have given three important theorems aboutt Time-optimal Control,but the restricted conditions is too rigorrous to use well,in this paper we reduce some conditions and make some conditions weaker than before,and prove these theorems still correct, moreover give a train of thought or a method which to analyse and treat the problems of Operators and Geometry in Banach Spaces.