论文标题
关于某些不连续系统引起的差异包含物
On differential inclusions arising from some discontinuous systems
论文作者
论文摘要
该论文处理右侧控制中包含的普通微分方程系统，这些系统在相变量中是不连续的。这些控件会导致滑动模式的发生。如果一个人使用不连续系统解的众所周知的定义之一，则可以用差分包含在某个表面上的对象的运动。借助先前开发的设备用于求解差异夹杂物，构建了一种方法，用于查找在这种模式下移动的系统的轨迹。由于某些常用的不连续控件包含相变的非平滑函数，因此本文特别注意研究此类系统的差异特性。在纸张控制的末尾，与经典的类型相比，具有有用的差异特性的类型，并构建了一种方法，用于求解具有此类控件的系统，并在撞击所需的表面并在其附近移动之前。
The paper deals with systems of ordinary differential equations containing in the right-hand side controls which are discontinuous in phase variables. These controls cause the occurrence of sliding modes. If one uses one of the well-known definitions of the solution of discontinuous systems, then the motion of an object while being on some surface can be described in terms of differential inclusions. With the help of the previously developed apparatus for solving differential inclusions, a method is constructed for finding the trajectories of a system moving in a such a mode. Since some of frequently used discontinuous controls contain nonsmooth functions of phase variables, the paper pays special attention to study the differential properties of such systems. At the end of the paper controls of a slightly different, in contrast to the classical, type are considered which have useful differential properties, and a method is constructed for solving systems with such controls considered both before hitting the required surface and moving in its vicinity.
