A Simplified Condition for the Invertibility of Symmetric Systems
对称系统可逆性的简化条件

A sufficient and necessary condition for the invertibility of symmetric systems is presented in this paper. In order to check the invertibility of symmetric systems by this condition, instead of calculating the largest controllability subdistribution included in the kernel of the outputs, what we need to do is just to find the largest symmetry subdistribution included in the kernel of the outputs.