第 1 页一类具有脉冲效应的线性时变系统的稳定性分析摘要 针对实际系统具有的时变和脉冲特性，提出一类具有脉冲效应的时变系统模型。随后基于 Lyapunov 稳定性定理，分析所提模型的稳定性，得到了具有脉冲效应的时变系统的稳定性判据。值得一提的是在使用 Lyapunov 函数分析系统的稳定性时，通过使用一致渐进稳定函数的定义，我们不需要 Lyapunov 函数的导数一直小于 0。关键词 Lyapunov 稳定性定理 脉冲系统 线性系统 稳定性Stability analysis of a class of linear time-varying systems with Impulsive EffectsAbstract In this paper, we bring forward a class of impulsive time-varying system matrix. Afterwards, base on the stability theorem of Lyapunov, analyze the stability of the proposed model, and we receive the stability criterion of time-varying system with impulsive effect. It deserves to be mentioned that when using the Lyapunov function to research the system stability, by using the definition of the uniform asymptotic stability function we do not need the derivative of Lyapunov function to be less than 0 all the time by using the definition of the asymptotically stable function.KEY WORDS Lyapunov stability theorem impulse system linear system stability第 2 页目 录引 言...................................................................................41 绪论...................................................................................................................................................................41.1 脉冲效应系统研究现状.........................................................................................................................42 线性时变系统状态方程....................................................................................................................................62.1 线性时变系统模型....................................................................................................................................
