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.
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.
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.
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.
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.
基于参数依赖的李亚普诺夫稳定性和线性矩阵不等式推导出使得时滞鲁棒稳定系统鲁棒稳定的充分条件。
Based on the parameter-dependent Lyapunov stability and linear matrix inequality, the sufficient condition for robust stability is derived to enable the systems with delays to be robustly stable.
因为使用了参数依赖的李亚普诺夫稳定性思想，此鲁棒稳定条件比基于二次稳定概念的稳定条件的保守性更小。
Due to the idea of parameter-dependent Lyapunov stability, the obtained robust stability condition has less conservativeness than the one based on quadratic stability.
针对气动人工肌肉位置控制系统，提出了两层滑模的变结构鲁棒控制策略，控制器的推导基于李亚普诺夫稳定性理论。
A two-folded sliding modes approach of pneumatic muscle actuator (PMA) position control system was proposed, and the controller was designed by using Lyapunov stability theory.
基于全阶观测器，采用李亚普诺夫稳定性理论对电机转速进行在线辨识，实现了异步电机无速度传感器直接转矩控制系统。
Motor speed was estimated on line base on Lyapunov's stability theory, and in this the speed sensorless direct torque control emulation system was designed.
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.
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.
该控制器对系统各通道进行分散式控制，利用李亚普诺夫函数的确定过程求解各自适应参数表达式，以保证了系统的稳定性。
The decentralized adaptive controller is designed and the adaptive parameters are decided by the Lyapunov function in order to assure the system is stable.
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.
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.
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.
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.
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.
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.
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.
应用李亚普诺夫理论证明了该方法的稳定性。
通过构造特殊的李亚普诺夫函数，分别考虑了时滞相关和时滞无关两种情形，得到了系统鲁棒绝对稳定的充分条件。
Via the constructive Lyapunuov function, the case independent of delay and dependent of delay is investigated respectively, and the sufficient conditions of robust absolute stability are gained.
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.
本文应用李亚普诺夫直接法研究了切削过程中在机床结构刚度非线性条件下速度型颤振的动态稳定性问题。
Liapunov's Direct Method is used to solve the stability problem of the speed-type chattering occurring in machine tool during cutting.
本文应用李亚普诺夫直接法研究了切削过程中在机床结构刚度非线性条件下速度型颤振的动态稳定性问题。
Liapunov's Direct Method is used to solve the stability problem of the speed-type chattering occurring in machine tool during cutting.
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