二阶微分包含的可达集

Attainable Sets of Two Order Differential Inclusions

考虑一类二阶微分包含的可达集以及最优控制系统与微分包含的关系,得到了一类二阶仿射控制系统的可达集及求解二阶微分包含可达集的取值范围,并给出实例说明该方法的有效性.

We considered the attainable sets of a class of two order differential inclusion, and the relationship between optimal control system and differential inclusions. We obtained the attainable sets of a class of two order affine control system and the range of attainable set of a two order differential inclusion. An example was given to illustrate the effectiveness of the proposed method.