On Linear Symmetry of Plane Control Systems
平面控制系统的线性对称性

In this paper, we consider the symmetry of two dimensional control systems under linear groups. All connected Lie subgroups of GL(2, R) have been discussed, i. e., all possible linear symmetry of control systems are under investigation. Necessary and sufficient conditions are obtained for each case. The structures of all kinds of symmetric systems are presented, showing that there are plenty of symmetric control systems.