This paper uses systematic project for energy system according to jiangsu and ten province energy conditions in west . it applies nonlinear chaotic dynamics theory in energy system and builds the chaotic dynamics model of energy system : chaotic time series model . the largest lyapunov index energy time series has been calculated according to decimal quantity method 本文根据江苏及西部十省能源状况，利用系统工程的方法对能源系统进行研究，将非线性混沌动力学理论应用于能源系统中，建立能源系统的混沌动力学模型：混沌时间序列模型，采用小数据量方法来计算了能源时间序列的最大李雅普诺夫指数。
This method first builds up an optimal model which have a good performance , then according to the error and the derivation of the error between the output of the optimal model and the output of ac motor drive , design model controller by lyapunov theory 该方法首先建立性能指标最优化模型，然后利用李雅普诺夫稳定性理论设计出模式控制器。根据最优模型输出与实际电动机输出的偏差及偏差导数，在模式控制器的作用下，使实际电动机的输出跟随最优模型的输出，直至偏差为零。
In this dissertation , we discuss the perturbed differential system with impulsive effects as follows : mainly by using variational lyapunov method and lyapunov direct method , we discuss the boundedness and stability in terms of two measures of the perturbed impulsive differential equations ( 1 ) and establish some criteria on boundedness and stability 在这篇论文中，我们主要研究如下脉冲摄动微分系统：文中主要利用变分李雅普诺夫函数方法和李雅普诺夫直接方法的思想，讨论了脉冲摄动微分系统(
Based on this characterization , we improve the theoretic result which is the foundation of lyapunov backstepping design . the problem that how to construct a control lyapunov function from a weak lyapunov function is a significant one , because the successful reconstruction implies that robust analysis and design can be probed in depth . for affine nonlinear systems , we present a sufficient reconstruction condition and interpretate the constructing procedure by typical examples 刻画一类存在半正定弱李雅普诺夫函数的全局渐近稳定系统，并用所得结果改进了李雅普诺夫递推设计的一个重要理论依据；如何由弱李雅普诺夫函数重构控制李雅普诺夫函数，是一个十分重要的问题，因为成功的重构意味着可以进行深入的鲁棒分产摘要析与设计，针对仿射系统我们给出了可以重构的充分条件，并用典型例子说明了构造过程
