稳定性

A new stability evaluating criterion which can be used to evaluate the stability of different walking patterns of the humanoid robot was proposed.

提出了一种能够评价不同的运动步态之间稳定性好坏的稳定性评价准则。

Different from most of the existing stability conditions, our stability criterion is independent of delay and has a very simple form which is easy to verify.

与大多数现有的稳定性条件不同，我们的稳定性判据与时延无关且具有非常简单的形式，易于验证。

As the applications of the result in this paper,the problem of absolute stability is considered,then the time-varying circle criterion and other stability criteria are given.

最后，作为前面结果的一个应用，将所得的结果应用到绝对稳定性问题中，得到了时变的圆判据和其他的一些稳定性判据。

Available methods on slope stability analysis are in large number, but no a method which is superior to others in any cases.

历年来分析料坡稳定性的方法很多，可单一的某一种方法并不能准确的评价料坡的稳定性。

Analysis with numerical simulation shows that the equilibrium may not change its stability at all or changes its stability up to a finite number of times.

研究表明，系统在不同参数控制下，平衡点的稳定性可以不发生改变，也可以发生多次稳定性切换。

The details of Newmark method is given in this paper clearly and the stabilization of Newmark method is approved under specified conditions.

文中详细推导了应用Newmark隐式时间积分方法求解高阶偏微分方程的具体过程，并详细推导Newmark时间积分方法的稳定性要求，给出了该积分方法稳定性的详细证明过程。

The stability of the improved Elman neural networks is proved in the sense of Lyapunov stability theory. The optimal adaptive learning rates are obtained, which can guarantee the stable convergence of the improved Elman networks.

在Lyapunov稳定性意义下分别给出了改进网络的稳定性证明，得到了保证网络稳定收敛的最佳自适应学习速率。

At last, the application of above modeling and control strategies has been demonstrated by the simulations of a nonlinear dc motor control problem. Under this control strategy, system identification phase is not needed, and only a controller based on the recurrent neural network is provided. Because the control and learning laws are designed with stable theory, stability and convergence problems are solved here with rigorous analysis, which can not been analyzed easily when usual BP neural networks are used.

最后通过非线性电机模型的仿真研究，表明了基于上述动态动态递归神经网络模型对非线性系统进行自适应控制的实际可行性，并且采用这种方法不需要对系统进行离线辨识，整个系统只采用了一个基于动态递归神经网络的控制器，由于整个系统是基于稳定性理论设计的，有效地解决了应用BP网络等其它前向网络时系统的稳定性和收敛性难以分析的问题。

First, a switching function is designed to guarantee that the movement of the system is asymptotically stable in the switching manifold. And the equation of the switching surface is given based on pole assignment theorem; Then a discrete robust adaptive quasi-sliding-mode tracking controller is presented by constructing the two adaptive gains, and the globally asymptotically stability of the system is proved based on the Lyapunov-Razumikhin stability theorem.

首先，利用广义系统的概念给出了系数矩阵为能控标准型的滑模面方程，并利用极点配置定理给出了能使系统稳定的滑模面；其次，构造了含有自适应律的离散趋近律，设计了能够使系统达到同步的变结构控制器，并利用Lyapunov稳定性定理，证明了系统的趋近运动的稳定性。

The stability of system equilibrium point and the existence condition of 3-D Hopf bifurcation as well as the stability of hence generated periodic solution were analyzed,so that the existence of limit cycles on the two-dimensional stable manifold of one microbial species and its nutrition was verified when other one had the disadvantage in the competiti.

研究当营养消耗率1δ=1δ为一般的非减连续函数和2δ=常数的三维Chemostat模型，分析系统平衡点的稳定性，三维系统经历Hopf分支的条件和由此产生的周期解的稳定性，证明系统中某一微生物物种处于竞争劣势而趋于灭绝时另一微生物物种和营养的二维稳定流形上极限环的存在性。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。