比较原理与李亚普诺夫方法；7结束语。
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.
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.
本文通过将李亚普诺夫方法与拉塞尔不变性原理相结合，证明了所设计的控制算法能实现吊车系统的渐近镇定。
Specifically, Lyapunov techniques are fused with LaSalle's Invariance Theorem to prove that the constructed nonlinear controllers achieve asymptotic regulation of the crane system.
首先根据由误差四元数和误差角速度描述的跟踪误差动力学和运动学方程，设计了基于李亚普诺夫方法的滑模变结构控制律。
First, according to the tracking error dynamics and kinematics described by unit quaternion error and angular velocity error, a sliding mode controller is derived based on Lyapunov theory.
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.
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.
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.
基于随机李亚普诺夫函数的方法，并结合线性矩阵不等式，分别提出依赖于模态的状态反馈和输出反馈控制，以保证相应闭环系统的严格正实性。
Based on stochastic Lyapunov functional approach, both state and output-feedback mode-dependent controllers are proposed to guarantee the strict positive realness of the resulting closed-loop systems.
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.
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.
应用李亚普诺夫理论证明了该方法的稳定性。
通过对李亚普诺夫方程的讨论来实现对控制系统的稳定性分析和综合，是处理系统稳定性问题的一个重要方法。
It is a fundamental technique for stability study to analysis and synthesize system stability by considering the Lyapunov equation.
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.
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。
This paper presents an application of model reference fuzzy adaptive PID control to the submarine propeller hydraulic servo system.
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。
This paper presents an application of model reference fuzzy adaptive PID control to the submarine propeller hydraulic servo system.
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