劳斯判据

系统稳定性的劳斯判据与赫尔维茨判据的等价性论证

Equivalence Demonstration of Routh Criterion and Hurwitz Criterion for System Stability

本文从谐波治理效果出发，利用稳定性分析中的劳斯判据，重点分析了电网电感参数、系统延时和无源滤波器参数对系统稳定性的影响。

From the start , the network inductance , system time delay and passive power filter parameters are analyzed making use of Routh criterion .

Hopf分岔的劳斯判据及其在电力系统中的应用

Louts criterion for Hopf bifurcation and its application to electric power systems

Hopf分岔的劳斯判据及磁悬浮系统的振动分析

Louts Criterion for Hopf Bifurcation and Analysis of Vibration of Maglev System

利用Hopf分岔的劳斯判据，给出了由于参数变化而导致非线性系统产生自激振动的临界条件以及自激振动的频率。

By using the louts criterion for Hopf bifurcation , a critical condition for the appearance of the self excited vibration caused by the change of the parameters in a nonlinear system and the corresponding frequency at this point were given .

通过引入Hopf分岔的劳斯判据，可直接求得非线性系统的Hopf分岔点以及系统振荡的频率，克服了以往方法因计算系统Jacobian矩阵的计算量大的缺点。

In this paper , with the Louts criterion for Hopf bifurcation , the Hopf bifurcation point of the nonlinear systems and the corresponding frequency at this point can be obtained directly , which overcomes the drawback of the traditional method involving much computation for systems ' Jacobian matrix .

利用霍尔维茨多项式求证劳斯判据

Proof of Routh Criterion with Hurwitz Polynomial

基于欧拉算子的劳斯判据

Routh Criterion Based on Euler Operator

在对数控机床进给伺服系统进行动态分析的基础上，根据劳斯判据得出了系统稳定的条件，为数控系统的选择和位置增益的调整提供了理论基础。

This article has obtained the stable condition of the system according to the Routh criterion and provided a theoretical basis for the choice of CNC system and the adjustment of position gain .

根据劳斯稳定判据，建立了G型π桥溢流阀稳定的判定条件。

In terms of Routh stability criterion , deduced the stable criterion rule of G π bridge relief valve .

针对一种拦截战术弹道导弹制导规律的特点，以经典的劳斯稳定判据为依据，构想了对其弹道稳定性的分析方法。

Trajectory stability problems of intercepting tactical ballistics missile guidance are investigated by the Lawes Criterion .

基于劳斯-赫尔维茨判据分析了钻柱轴向振动和扭转振动耦合时的稳定性，并推导出了耦合振动的稳定性条件。

Based on the Routh-Hurwitz criterion , the stability of drilling string axial vibration and coupled torsional vibration are analyzed , and the condition of the stability of the coupled vibration is deduced .