比较原理与李亚普诺夫方法；7结束语。
应用能量积分法建造了一个李亚普诺夫函数。
Lyapunov function is established by using energy integral method.
应用李亚普诺夫理论证明了该方法的稳定性。
并利用离散李亚普诺夫函数法导出系统稳定的条件。
The stability conditions are derived using a discrete Lya-punov function.
用李亚普诺夫方法证明了整个系统的稳定性和鲁棒性。
The stability and robustness of the entire system is proved by Lyapunov method.
在线部分的核心基于李亚普洛夫参考模型自适应算法。
While the core of online part is based on Lyapunov Reference Model Adaptive Algorithm.
定义了李亚普诺夫函数，根据其稳定性理论确定了速度自适应律。
The speed adaptive scheme of speed estimation is obtain utilizing Lyapunov's stability theory.
基于李亚普诺夫方法，证明了状态估计误差渐近稳定且渐近收敛到零。
The state estimation error is proved to asymptotically approach zero with the Lyapunov method.
利用李亚普诺夫函数分析了误差系统的稳定性，说明误差是指数收敛的。
The stability of the error system is analyzed by a Lyapunov function, which shows that the errors are exponential convergent.
李亚普诺夫稳定性定理保证了闭环系统的稳定性及跟踪误差的渐近收敛。
By using Lyapunov stability theorem, both the stability of closed-loop system and the asymptotical convergence of tracking errors are ensured.
基于李亚普诺夫方程的状态反馈增益算法是极点配置算法中比较常见的一种。
Lyapunov Equation based algorithm for calculating state feedback gain is a comparatively normal algorithm used in pole assignment.
本文提出一种新的广义李亚普诺夫方程，用于判定离散时间奇异系统的稳定性。
This paper puts forward a kind of new generalized Lyapunuv equation, which is used to study the stability of discrete singular system.
选择一正定的李亚普诺夫函数，基于李亚普诺夫直接法求出混沌同步的控制量。
The Control for chaotic synchronization is directly designed based on lyapunov's direct method by choosing a positive definite lyapunov function.
根据相迹方程和李亚普诺夫直接法提出了在大扰动下控制静止补偿器的开关线。
On the basis of the trajectory on the phase plane and Lyapunov' s direct method, switching line is introduced for controlling static compensator under large disturbance.
本文应用李亚普诺夫稳定性理论的直接方法，讨论了弹性支承上的压杆稳定问题。
In this paper, stability problem of beams supported on elastic foundation is discussed by means of Liapunov's direct method.
针对一类不确定非线性系统，基于李亚普诺夫稳定性理论提出了滑模自适应算法。
Taking aim at a class of uncertain nonlinear systems, a sliding mode adaptive control algorithm based on Lyapunov's stability theory was proposed.
通过李亚普诺夫稳定性理论，推导出一种无速度传感器控制的速度自适应辨识算法。
The adaptive speed recognition algorithm without speed sensor control was deduced by applying the lyapunov stability theory.
本文基于李亚普诺夫稳定性理论，提出了一种参数补偿的模型参考自适应控制系统。
Based on Liapunov's stability theory, this paper puts forward a model reference adaptive control system with parameter compensation.
应用李亚普诺夫直接法，提出了一种基于不确定项上界的连续型鲁棒控制器设计方法。
Applying Lyapunov direct method, a design method of continuous robust controller is proposed based on the upper bounds of the uncertainties.
多年来众多的学者提出多种不同的广义李亚普诺夫方程，用来研究奇异系统的稳定性。
For many years, numerous scholars have proposed many kinds of generalized Lyapunuv equation to study stability of singular system.
采用多李亚普诺夫函数方法设计控制器的切换律，系统在此切换律下可以达到渐近稳定。
Multiple Lyapunov functions method is introduced to design the switching law between controllers, the system is asymptotically stable under the switching law.
根据李亚普诺夫直接方法，给出了一种基于参考模型的非线性系统反馈线性化的简便方法。
On the basis of Lyapunov's method, a simple direct global linearization method based on the reference model is presented.
利用适当的李亚普若夫泛函，研究了时滞分流抑制型细胞神经网络的周期解的指数稳定性。
By means of suitable Lyapunov functionals, the exponential stability of periodic solutions for shunting inhibitory cellular neural networks(SICNNs)with delays and variable coefficients is studied.
通过李亚普诺夫稳定理论证明跟踪误差是指数收敛的，仿真结果验证了这种方法的有效性。
It is showed by the Lyapunov stability theorem that the tracking errors converge exponentially. The simulation results illustrate the efficiency of this method.
根据李亚普诺夫稳定性理论推导了自适应系统权值的调整规律，从而保证了闭环系统的稳定性。
The weight adjustment law is got based on Lyapunov theory to assure the stability of the control system.
本文的目的是叙述构造矢量李亚普诺夫函数的方法和应用于线性与非线性复合系统的稳定性分析。
This article is intended to develop a method for constructing Vector Lyapunov functions and the application to the stability analysis of linear and nonlinear composite systems.
基于模型参考自适应模糊控制和李亚普诺夫第二方法，提出了一种自适应模糊控制器设计的新方案。
A new design scheme of adaptive fuzzy controller is proposed based on the model reference adaptive fuzzy control (MRAFC) and Lyapunov s second method.
当一个生成三角波的回路同步失稳时，利用李亚普诺夫函数可以很容易证明系统实际上处于混沌态。
Using the Lyapunov exponent, writers can simply show the chaotic behavior when a circuit oscillating in triangular waveform is off synchronization.
当一个生成三角波的回路同步失稳时，利用李亚普诺夫函数可以很容易证明系统实际上处于混沌态。
Using the Lyapunov exponent, writers can simply show the chaotic behavior when a circuit oscillating in triangular waveform is off synchronization.
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