Some improvement was proposed to enhance its performance . and then , convergence of the neuro - emulator and stability of the neuro - controller were proved under those supposed conditions . last , a simulation is conducted to verify the proposed strategy 从lyapunov稳定性定理的角度出发讨论改进后算法的稳定性和收敛性，并从中导出神经网络内模控制系统中神经网络的最佳学习速率，从而使控制器和观测器在lyapunov稳定性的意义下达到最佳的响应速率。
( 7 ) taking advantage of the lyapunov theorems , a simplified method is proposed in this dissertation to testify the local stabilization of the experimental control system , which can be used for reference in the stability analysis of general nn based nonlinear control systems 7 .由于神经网络理论尚不完善,神经网络非线性控制系统的稳定性分析一直没有明确的理论指导。本文由lyapunov稳定性定理出发,对弹性连杆机构振动主动控制系统的线性化模型进行了闭环稳定性分析,最终证
In chapter one , we study the stability of impulsive differential equations , and establish the exponential stability theorems of zero solutions of the impulsive ordinary differential equations and the lipschitz stability theorems of impulsive functional differential equations , the theorems extend or improve the former results 在第一章，研究脉冲微分方程的稳定性，建立了脉冲常微分方程零解的指数稳定性定理和脉冲泛函微分方程零解的lipschitz稳定性定理，得到的结果推广或改进了前人的有关结果。
Different from the above two chapters , in chapter three , we employ the method of lyapunov function coupled with razumikhin technique to investigete the practical stability in terms of two measures of system ( 1 ) , obtain some practical stability theorems , such as ( h0 , h ) practical stablity , ( h0 , h ) uniformly practical stability , ( h0 , h ) uniformly practically asymptotical stability and so on 不同于前两章，在第三章中，我们运用lyapunov函数方法结合razumikhin技巧研究了脉冲泛函微分系统）的关于两个测度的实际稳定性，得到了一些实际稳定性定理，如巾。入）实际稳定性、 （ h 。 ， h ）一致实际稳定性、币。
The fnn in the system is used to approximate the unknown parts of the system . then according to the lyapunov ' s stability theory , the adaptive laws of parameters are designed . the parameters of network are adjusted on line and the system satisfies the lyapunov ' s stability 首先用模糊神经网络西安理工大学硕士学位论文完成对控制系统未知结构或参数的逼近，然后根据lyapunov稳定性定理设计网络参数的自适应学习律，在线完成网络参数的调整，使系统满足lyapunov稳定性。
Based on lyapunov stability theory , razumikhin stability theory and convex set theory , also by using linear matrix inequality , matrix analyzing methods and convex programming methods , we studied some kinds of robust control problem for uncertain time delay systems in details 本论文主要基于lyapunov稳定性定理、 razumikhin稳定性定理以及凸集的有关理论，并采用线性矩阵不等式、矩阵分析以及凸规划等工具研究用状态空间模型描述的不确定时滞系统的鲁棒控制问题。
