一类跳变微分包含系统的最佳过程

Abstract

本文讨论状态可跳跃的微分包含系统.在较一般的假设下，得到一个关于跳变微分包含系统的最佳过程的POnTryAgIn型的最大值原理，其横截条件表为一统一形式.本文的主要结果包含一些重要的已知结果作为其特例.

In this paper, we consider the diFFerential inclusion systems where thestates can jump.Under mild hypothesies, a Pontryagin's type maximum principle Forthe optimal process is obtained.The transversity conditions are expressed in a unitedForm.The main therem includes some well-known results as its special cases.