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In Chapter 3,a first order partial differential equation with delay and a multi-dimensional variable is investigated.

我们在第四章考虑含时滞的Logistic方程〓1在该方程中,b,c和时滞〓的大小对方程的正定态解U的稳定性有极其重要的影响。

A sufficient condition that ensures the stability of the origin of the system is derived, and the domain of attraction may be enlarged by applying a fuzzy anti-windup compensator to the considered system.

构造了一个更一般的Lyapunov函数—模糊Lyapunov函数来分析系统的稳定性以及估计系统的吸引域,克服了寻求一个公共的正定矩阵P的困难,使用模糊Lyapunov函数得到的系统的吸引域估计保守性更小。

In Chapter 5, considering the uncertain returns of securities as fuzzy numbers which follow an exponential possibility distribution function, we give a semi-definite programming method to solve the non-linear problem in estimating the exponential possibility distribution function process. Furthermore, we extend the center spread model proposed by Tanaka and Guo to the case of a frictional financial market.

第五章将证券收益率看作是服从指数可能性分布的模糊数,提出了证券收益指数可能性分布估计过程中求解非线性问题的半正定规划方法,并且将Tanaka和Guo的中心差值可能性投资组合模型扩展到了带摩擦的金融市场的情况。

In this document we mainly research special matrix's decomposition, and also through the study of the theory of real reversible matrix decomposition, analysis and summarize one kind of analysis method's compact computation form of the solid invertible matrix.

本文主要研究了特殊矩阵正定矩阵的分解理论,通过对实可逆矩阵的分解理论的研究,分析总结出实可逆矩阵的一种分解方法的紧凑计算格式。

This paper presents a stability criterion for design iterative learning controller. From the criterion,one can change the design problem into finding a positive definite discrete matrix kernel. It has been shown that what kind of variable can be controlled by the iterative learning,(2) and what kind of filter can be included into the controller.

摘要提出了一种针对自学习控制的稳定性判据,应用这一稳定性判据将自学习控制器的设计转化为寻找正定离散矩阵核,从而回答了两个问题,其一什么样的量可以通过自学习叠代加以控制,其二学习叠代中什么样的滤波环节的引入不会影响学习收敛性。

But also extend and improve the recent literature on the lower bound estimate of the determinant modulo about the Hadamard product of the complex generalized positive definite matrix.

而且也推广和改进了最近有关复广义正定矩阵的Hadamard乘积的行列式的模的下界估计文献。

The sufficient condition of the existance and unigueness of solution is that the original main matrix is positive.

本文通过对这类数值计算问题的解的唯一性及存在性的讨论,表明了解存在且唯一的一个充分条件是原系数矩阵正定。

If the step of the linear system question is not very high, direct solving method is better; if coefficient matrix of the linear system question is not regular and large-sparse matrix , direct solving method does not settle the storage question.

而在求解线性方程组的许多实际问题中,尤其在偏微分方程的差分方法与有限元方法求解问题之中,方程具有重要的特征,一是多为大型稀疏矩阵;二是满足一些条件如对称正定、对角占优等,这使迭代法得到广泛的应用。

By singular value decomposition of the separating matrix, we present a novel independent-component-analysis -based contrast function for BSS, which is a generalization of the existing determined and overdetermined ones.

首先从分离矩阵的奇异值分解出发,提出一种新的基于独立分量分析的盲信号分离对比函数,它是现有的正定和超定盲信号分离对比函数的推广。

This paper suggest a method to minimize σ and σσ[V-1] under the constraint of pole assignment, where P is the selution to'P+P=-2In, and V is the eigenvector matrix of A+BF.

摘要本文讨论在极点配置的约束下,使σ和σ·σ[V-1]极小化的问题,其中P是'P+P=-21n的正定解,V是A+BF的特征向量矩阵。

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