中文摘要：

针对一类具有脉冲现象的非线性切换系统，提出了一种基于有限时间稳定lyapunov函数技术和多Lyapunov函数技术相结合的有限时间稳定性分析方法。该方法首先将非线性系统的有限时间稳定性的概念推广到所考虑的脉冲切换系统。然后，利用有限时间Lyapunov函数技术，确保各个子系统达到有限时间稳定。进一步，给出一个有限时间稳定的非线性比较系统。通过多Lyapunov函数技术，保证原系统的Lyapunov函数值不超过比较系统的状态值，由此得到原脉冲非线性切换系统有限时间稳定的充分条件。最后，一个数值例子说明文中方法的有效性。本文所得的研究结果能应用于生产线控制，交通管理，网络控制等实际系统。

英文摘要：

In this paper, a class of nonlinear switching systems with impulses is considered. Combining the finite time Lyapunov and multiple Lyapunov technique, an analysis method of finite time stability is presented. First, the concept of finite time stability for non- linear systems is extended to impulsive switching systems. Then, by using finite time Lyapunov functions, finite time stability of each subsystem is obtained. Furthermore, a nonlinear comparison system that is finite time stable is given. By using multiple Lyapunov func- tions, it is ensured that the Lyapunov function value of original systems is less than the state value of comparison system. Thus, a suffi- cient condition of finite time stability for the original impulsive switching systems is proposed. A numerical example is provided to dem- onstrate the effectiveness of the proposed method. The research results of this paper can be used in the control systems of production ,／ line, traffic management and networks.