李雅普诺夫方法

本论文回顾了量子系统的可控性及控制方法的发展及研究现状，重点研究了封闭量子系统的李雅普诺夫方法和最优控制方法。

This work reviews the advancement and current research of controllability and controlled methods on the quantum systems , and focuses on the Lyapunov method and optimal method for the closed quantum systems .

基于非线性状态反馈线性化、最优控制及李雅普诺夫方法，对连续时间标量混沌信号的鲁棒同步控制进行了研究。

This paper is concerned with the robust synchronization control problem of continuous time scalar chaotic signal . It is based on the nonlinear state feedback linearization , optional control and Lyapunov method .

非线性离散时间系统稳定性的李雅普诺夫方法

Lyapunov Methods in Stability of Discrete-time Nonlinear Systems

关于持久性的李雅普诺夫方法

The Liapunov method of permanent

本文介绍李雅普诺夫稳定性的概念和李雅普诺夫方法在各种控制系统中的应用定理，并给出若干证明和例子。

This article presents some aspects of the concept of Lyapunov 's stability and Lyapunov 's method stated as various theorems applied in control systems , it gives a number of proofs and examples .

运用系统动力学原理、李雅普诺夫方法和鲁棒性能分析方法，对该系统进行稳定性分析，并发现了稳态系统具有复杂性、时变性、潜在秩序性、不稳定性和可控性五个特征。

The dynamic principle and the method of Lyapunov and robust performance analysis method are used for stability analysis of the system , and five characteristics of the steady-state system like complexity , time variation , potential-order , stability and controllability are summarizes .

第三章根据李雅普诺夫泛函方法，运用了一种全新的方法研究了时滞细胞神经网络的稳定性，随后又根据这一方法分别讨论了无时滞和有时滞的Hopfield型神经网络的稳定性。

In chapter 3 , the Lyapunov functional based new method is used to study the Delayed Cellular Neural Networks . Then with the same method , both the Delayed Hopfield Neural Networks and Hopfield Neural Networks without delay are studied .

在文[1]的启发下，本文讨论了滞后型和中立型泛函微分方程的稳定性问题，并利用李雅普诺夫泛函方法，得到了一致稳定、一致渐近稳定的充分条件。

In this paper , we discuss the stability of retarded and neutral functional differential equations and , employing Liapunov functionals , we obtain some sufficient conditions for uniform stability and uniform asymptotic stability .