2) unconditionally stability
无条件稳定性
1.
The unconditionally stability and oscillations in kinds of 4-order delay difference equations are investigated by using analysis method,properties of algebra eqution and the logarithmic norm.
利用定性分析方法、代数方程根的性质及对数范数,研究了一类四阶时滞微分方程的无条件稳定性及实例的振动性,得到了该时滞微分方程无条件稳定性的充要条件,四次多项式函数在[-1,1]上无零点的充要条件。
3) absolute stability
无条件稳定性
1.
Based on the establishment of time delay dynamics equation to force telepresence teleoperation system, the absolute stability of system is analyzed by using the differential equation.
为此，从建立力觉临场感遥控作业系统的时延动力学方程出发，利用差分微分方程对系统的无条件稳定性进行分析。
2.
Sufficient conditions of absolute stability are obtained by using the theory of characteristic value, and it is shown that the delay τ is locally harmless.
研究了一类具有连续时滞与离散时滞的Logistic模型的无条件稳定性与Hopf分支问题。
4) unconditional stability
无条件稳定
1.
A New Criterion of the Unconditional Stability of Multigroup Multidelays Hyperneutral Type Linear Constant System;
多组多滞后超中立型线性定常系统无条件稳定的一个新判据(英文)
2.
The findings indicate that the method still has the advantage of unconditional stability,no transcendental phenomenon and better damp of algorithm.
结果表明,方法仍然具有无条件稳定、无超越现象、有较好算法阻尼等特性,具体算例也验证了高阶单步法在解刚度硬化和刚度软化问题时比γ函数方法具有更高的精度和更好的稳定性。
3.
In this paper, a method for developing high accuracy unconditionally stable integration schemes is presented; a third-order accuracy unconditional stability algorithm is developed, which can be applied to the dynamic analysis of proportionally and non-proportionally damped structures.
提出了一种构造高精度无条件稳定的积分格式方法,建立了具有三阶精度的无条件稳定直接积分法,既适用于比例阻尼体系,也适用于非比例阻尼体系。
5) unconditional stable
无条件稳定
1.
Two classes of implicit difference schemes with the local truncation errors are O(τ~2+h~2) and O(τ~4+h~4) respectively for solving the three-dimensional wave equation are proposed and proved to be unconditional stable by Fourier analysis.
提出了数值求解三维波动方程的两种精度分别为O(τ2+h2)和O(τ4+h4)的三层紧致隐格式,利用Fourier分析方法证明了格式均是无条件稳定的。
2.
Two classes of unconditional stable,weighted average implicit difference schemes for the twodimensional diffusion equation are proposed.
提出了数值求解二维扩散方程两种精度分别为O(τ2+h2)和O(τ2+h4)的无条件稳定的加权平均隐格式,并采用多重网格方法进行求解,从而克服了传统迭代法在求解隐格式时收敛速度慢的缺陷,提高了求解效率。
3.
Two classes of weighted average implicit difference schemes with the local truncation errors being O(τ2+h2) and O(τ2+h4) respectively for solving the threedimensional parabolic equation are proposed and proved to be unconditional stable by Fourier analysis.
提出了数值求解三维抛物型方程的两种精度分别为O(τ2+h2)和O(τ2+h4)的两层加权平均隐格式,利用Fourier分析方法证明了格式均是无条件稳定的。
6) unconditionally stable
无条件稳定
1.
The method is a semi-analytical method, hence it can be accurately solved on time domain, and it is unconditionally stable.
由于该方法是半解析方法,在时间域上可以精确计算,本方法不仅精确度高,还无条件稳定。
2.
A computationally robust and unconditionally stable implicit/implicit staggered procedure presented by Zienkiewicz is proved to be stable by Park s method.
介绍了Zienkiewicz给出的一种高效的无条件稳定的隐式 /隐式交叉迭代法 ,并依据 Park的思想详细证明其稳定性。
3.
The truncation errors of the method are O(τ 2+h4) and it is proved to be unconditionally stable by Fourier analysis.
通过Fourier分析方法证明了该格式是无条件稳定的。
补充资料：条件稳定系统
以开环传递函数的增益值在某个范围内为条件才能保证稳定性的闭环控制系统。下图为条件稳定系统开环频率响应的奈奎斯特图的典型形状。图中ω为参变量频率。根据奈奎斯特稳定判据,当(-1,j0)点位于奈奎斯特曲线的A点和B点之间时，闭环系统是稳定的。通过减小增益值改变奈奎斯特曲线,使(-1,j0)点位于C点和B点之间，或加大增益值使(-1,j0)点位于A点和O点之间,都会导致闭环系统的不稳定。在工程实际中应尽可能避免采用条件稳定系统。系统元件特性的老化和输入信号过大引起的系统元部件的饱和，都会减小条件稳定系统开环增益值，从而使系统变为不稳定。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条