绝对稳定

该方法为s+1点2s阶方法，其绝对稳定区间均大于同阶的Adams外插法的绝对稳定区间。

The intervals of their absolute stability are larger than that of the Adams methods .

一类连续Hopfield神经网络绝对稳定的充分必要条件

Necessary and Sufficient Condition for Absolute Stability of a Class of Continuous Hopfield Neural Network

LURIE控制系统绝对稳定的时滞相关条件

Delay dependent conditions for absolute stability of Lurie Type Control Systems

Lurie时滞控制系统鲁棒绝对稳定的新判据

New Criteria of Robust Stability for Lurie Control System with Delay

最后当过冷度进一步增大，Cu5%Cr过共晶合金获得绝对稳定平界面生长，生成超饱和的单相CuCr固溶体合金。

Finally , the monophase supersaturation solid solution of Cu-5 % Cr hypereutectic alloy develops in growth way of absolute stable planar interface with the further increase of undercooling .

Lurie滞后反馈控制系统绝对稳定的鲁棒扰动界

Absolute stability for Lurie control systems with time-delay feedback controllers

最一般Lurie离散控制系统的绝对稳定

Absolute Stability of the Most General Lurie Discrete Control System

一类不确定性Lurie控制系统的鲁棒绝对稳定的新判据

New criteria of robust absolute stability for a class of uncertain Lurie control systems

给出了控制系统实的第一标准型绝对稳定的一个显式准则，这个准则包含并改进了文[3]的准则A，B，C。

An explicit criterion of the absolute stability for the real first canonical form [ 1 ] is worked out . This criterion generalizes and includes the known criterions A , B and C in paper [ 3 ] .

在此基础上，获得了保证系统绝对稳定的鲁棒扰动界的LMI，并给出了利用迭代法获得鲁棒扰动界的方法。

Based on this , a LMI for the robust perturbation bound is obtained , and the iteration method is used to calculate the bound .

给出了求解二维Burgers方程的交替分组显式（AGE）方法，运用线性化近似分析证明了方法是绝对稳定的，方法具有明显的并行性质。

It presents the AGE ( Alternating Group Explicit ) method for solving the two dimensional Burgers equation . The method is unconditionally stable by analysis of linearization procedure and has obvious property of parallelism .

对高维的方程，利用加耗散项的方法，建立一类绝对稳定的三层格式，包含了DuFort－Frankel型差分格式的结果。

For solving higher dimensional equations , a class of absolutely stable and three level schemes including the results of Du Fort-Frankel type difference scheme are derived by adding dissipative term .

对具有时滞反馈的Lurie型控制系统，用新型的Liapunov泛函，得到了绝对稳定的充分条件。

By use of a new type of Liapunov functional , we obtain the sufficient conditions for the absolute stability of Lurie control system with retarded feedback .

这是一种绝对稳定的级联形式的MRFM，它适用于随机纹理及大部分自然纹理的合成及数据压缩。

It is suitable for texture synthesis and data compression .

本文对Schrodinger方程构造了一个高精度绝对稳定的隐式差分格式，其截断误差阶为O（τ~2+h~4）。

An absolutely stable high-order difference scheme with high accuracy for solving Schrodinger equation is established in this paper . Its order of local truncation is O (τ 2 + h4 ) .

并且通过分别利用加入松弛矩阵和等价系统的方法，通过求解线性矩阵不等式（LMI）的凸优化问题，得到使得系统绝对稳定的最大时滞量。

According to adding slack matrices and using the descriptor system approach , a larger delay bound ensuring the system absolute stability is obtained by solving a convex optimization problem of the linear matrix inequality .

多非线性控制项的Luré系统绝对稳定的充要条件

The Necessary and Sufficient Conditions of the Absolute Stability for the Lure System with Nonlinear Control Terms More Than One

利用Lyapunov方法给出了系统在无限扇形角内绝对稳定的时滞相关准则，所给的判定条件是线性矩阵不等式（LMI）形式的，可以很方便地运用Matlab工具箱求解。

Using Lyapunov method , a delay-dependent criterion for absolute stability of the systems in infinite sector is given . The proposed condition is in terms of a linear matrix inequality ( LMI ) which can be easily solved by Matlab toolbox .

采用H1能量估计方法，证明格式按离散H1范数是绝对稳定的，并且收敛阶为O（Δt2+h2）

By using the H 1-norm energy method , the absolute stability of H1 is proved and the convergence of H1 is demonstrated in the result of O (Δ t2 + h2 ) .

块ADI方法绝对稳定，并且具有计算和通讯的局部化特点，适合在分布存储的大规模并行计算系统上应用。

The Block ADI method is unconditionally stable and has the localization property of both computation and communication , so the method can be used on the massively parallel processing system with distributed memory processors .

本文给出了一个解二维波动方程的差分格式，它是vonNeumann格式的变形，其特点是每层计算量小，但又绝对稳定。

This paper gives a difference format , which is the deform of the Von Neumann format , for solving two dimensional wave equation , it 's advantage is that the computation is simple and absolute-ly stable .

用Lyapunov函数方法和区间分析技术，得到了区间Lurie系统鲁棒绝对稳定的一些充分条件，这些条件减少了绝对稳定鲁棒检测的保守性。

Based on the method of Lyapunov function and interval analysis technique , some sufficient conditions of robust absolute stability for the interval Lurie system are obtained , which reduces the conservatism in robustness tests of absolute stability .

构造了一个解3维抛物型方程的交替方向隐式格式，格式绝对稳定，截断误差为O（Δt2+Δx4）。

This paper presents an Alternating Direction Implicit Scheme for solving parabolic equation of three-dimension . The scheme is absolutely stable and the truncation error for the method is O (Δ t2 + Δ x4 ) .

利用Lyapunov稳定性理论和实对称矩阵特性提出了具有多个执行机构的Lurie型时滞控制系统的绝对稳定时滞无关充分条件；

The main work and research results of this paper are summarized as follows : ( 1 ) According to Lyapunov stability theory and real symmetrical matrix characteristic , the delay-independent sufficient conditions for absolute stability of Lurie time-delay control systems with several stationary elements is proposed .

设计出解电报方程的高精度绝对稳定的三层隐式差分格式，其截断误差阶为O（τ2＋τ2h2＋h4）。

A high accuracy three level difference scheme with absolute stability for solving the telegram equation is established . The truncation error for the scheme is O (τ 2 + τ 2h2 + h4 ) .

引入关于部分变元绝对稳定和关于集合绝对稳定的新概念，利用M矩阵，楔函数和Dini导数给出了研究非线性非定常控制系统的绝对稳定性的一些新方法。

This paper introduces new concepts of absolute stability for part of variables and absolute stability for a set . Some new methods are presented for studying absolute stability of nonlinear nonstationary control systems by M-matrix , wedge function and Dini-derivative .

该公式不仅具有比Bernstein的实时RK-4公式（称之为BRK-4）大得多的绝对稳定域，而且其截断误差系数也比后者的小，因而有着更广泛的应用范围。

Ot not only has much larger region of absolute stability than that of real-time RK-4 formula ( BRK-4 ) proposed by Bernstein but also has smaller truncation error coefficient than that of the latter . So the proposed formula can be used in a wider scope .

色散方程两层绝对稳定的实心隐格式

Two level and absolutely stable full-node implicit schemes for dispersive equation

变系数热传导方程绝对稳定的紧交替方向差分格式

An Compact ADI Difference Method for the Heat Equations with Variable Coefficients

色散方程的一个绝对稳定的本性并行格式

A Difference Scheme with Intrinsic Parallelism and Unconditional Stability for Dispersive Equation