1) unconditional stability of any constant delay
全时滞无条件稳定
2) stability of all delays
全时滞稳定
1.
In this paper, the sufficient and necessary conditions for stability of all delays of first order neutral differential difference equations with two delays are obtained.
本文得到一阶双滞量中立型差分微分方程全时滞稳定的充要条件,这些条件是实用的代数判据。
3) 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。
4) 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。
5) 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。
6) delay-independent stability
时滞无关稳定性
1.
The comparison principle of the multiple rational delays discrete systems and the frequency domain method are employed to reduce the multiple rational time delay discrete systems with interval coefficient to the multiple rational time delay in-varying discrete systems,and to study their delay-independent stability.
应用多组有理数时滞离散系统的比较原理和频域法,将多组有理数时滞区间系数离散系统化为多组有理数时滞定常离散系统,以判定其时滞无关稳定性,并举例说明了新定理的有效性和实用性。
2.
Based on LMI, we give the sufficiency criterion about delay-independent stability and performance of persistent bounded disturbance rejection for time-delay systems by Lyapunov method.
基于LMI,我们利用Lyapunov函数方法给出了时滞系统的时滞无关稳定性及对持续有界扰动抑制性能的充分性判据。
补充资料：时滞系统的稳定性
时滞系统在初始扰动下的运动能回复或趋近平衡状态的性能。包含时滞环节的系统称为时滞系统。时滞环节的特点是它的输出变量相对于输入变量存在时间上的滞后τ。与输气管道中压力波传播过程相应的环节是时滞环节的一个例子。时滞τ的大小对时滞系统的稳定性有极大影响，常可采用临界时滞τc来表征系统的允许时滞范围，它是改变时滞τ使系统由渐近稳定变为不稳定时的一个临界值。研究时滞系统稳定性常用的方?ㄓ衅德视蚍椒?(见米哈伊洛夫稳定判据、奈奎斯特稳定判据)和李雅普诺夫函数法（见李雅普诺夫稳定性理论），它们在应用上和判断无时滞系统的稳定性时没有区别。对于多时滞系统和变时滞系统，稳定性的分析过程要更为复杂。
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