将输出对状态稳定和状态模可观测等概念进行推广,提出了输出对V(x)稳定、小时间V(x)可观测、大时间V(x)可观测的定义.利用上述定义,给出了非线性切换系统的V(x)零值集稳定的充分条件.分别利用统一Lyapunov函数和多Lyapunov函数证明了所提出的结论,并详细讨论了输出对V(x)稳定与输出对状态稳定及其他相关定义之间的关系.数值例子验证了所提出结论的正确性. The concept of output stability to V (x), observable V (x) in small time and observable V (x) in large time are proposed by generalizing the concepts of state stability and state modal observability.Using the above definition, The sufficient conditions for the stability of V (x) zero-valued set of nonlinear switched systems are obtained. The proposed Lyapunov function and the Lyapunov function are used to prove the proposed results. The stability of output V (x) Stability and other related definitions.The numerical examples validate the validity of the proposed conclusions.