特征值

Based on the relationship between matrix and symmetric matrix global exponential stability of the discrete-time neural networks model and the result of exponential convergence rate were obtained by using the characteristics of eigenvalues of a positive definite matrix and introducing a proper factor.

针对带有边界约束的凸二次规划问题，利用离散神经网络模型的建模原理，构造了一个神经网络模型。利用矩阵与对称矩阵的关系和正定矩阵特征值的性质，通过引入一个适当的因子，得到了该离散型神经网络模型是全局指数稳定性和指数收敛率的结果。同时分析了该结果的优越性和存在的不足，提出了解决的3种方法，最后给出了实例说明本方法取得结果的实用性

A new proof for properties of positive matrix

通过对正矩阵进行相似变换，给出了求正矩阵最大特征值的一种新的算法和相应的数值例子。

Buckley, and discusses the fuzzy eigenvalue problem of real symmetric positive fuzzy matrix.

Buckley定义的模糊矩阵为研究对象，全面地讨论了实对称正定模糊矩阵的有关模糊特征值的问题。

Based on the power series expansion of the general flexible matrix of the sub-system, a general expression of the dynamic stiffness matrix of the reduced model was derived from the exact expression of the reduced model for the direct substitution dynamic condensation methods. The general expression was also expressed as a power series of the unknown eigenvalues. After that, the validity and error of the Guyan condensation method were analyzed.

对于动力缩聚直接代入法，本文从降阶模型的精确表达式出发，利用子系统广义柔度矩阵的幂级数展开式，导出了降阶模型动刚度矩阵的一般表达，并把它表示为未知特征值的幂级数形式，在此基础上对 Guyan缩聚法的适用范围和误差进行了一般分析。

The Predictor Corrector Primary Dual Interior Point Method is used to solve the OPF model. The effectiveness of load shedding is confirmed using the Q-V mode analysis method, which can be applied to compute eigenvalues of a reduced Jacobian matrix. The numerical results of 2 IEEE standard test systems demonstrate that the proposed OPF model is very effective since it automatically identifies the weak buses and circuits and calculates minimum load shedding.

论文采用了预测-校正原对偶内点法求解该模型，并通过Q-V模态分析研究切负荷前后系统降阶雅可比矩阵的特征值变化情况，评估切负荷控制措施的有效性。2个IEEE标准试验系统的仿真结果表明，该模型直接针对系统薄弱环节，自动辩识切负荷节点和最小切负荷量，具有很好的效果。

The eigenvalue problem of Dirac operator with perturbation Parameter is studied,the analyticity of perturbation parameter is discussed,and the analytic extension is done,at last,the expansion formulas of power serier about preradical expansion into perturbation parameter are got.

针对带有微扰参数的Dirac算子特征值问题，讨论了对微扰参数的解析性，并进行了解开拓，最后得到了预解核对微扰因子的幂级数展开式。

Determinant Research Method is one of the effective methods for calculating the generalized eigenvalues and corresponding eigenvectors of a large sparse matrix. Its theoretical foundation is that for a symmetric matrix the leading principal minors of the eigenmatrix form a Sturm Sequence.

"行列式查找法"是计算大型稀疏矩阵广义特征值和特征向量的有效方法之一，其理论基础是对称矩阵的各阶顺序主子阵的特征行列式形成Sturm序列。

Methods Using lower-upper solution method, principal eigenvalue theory, the maximum principle and the index of fixed point of compact map in cone.

上下解方法，特征值理论，极值原理，计算锥映像不动点指数。

The pulsate pressure in high speed flow water will influence the safety of water construction, and the eigenvalue of the pulsate pressure should be confirmed by hydraulic model testing.

高速水流中的水流脉动对水工建筑物的安全运行存在很大的影响，水流脉动压强的特征值一般需通过水工模型试验确定。

When parameters satisfy some assumptions, Rossler system is a chaotic dynamical system. In order to discuss the dynamical character of Rossler system and use delayed feedback control chaos, in the first, we discuss the stability of the steady states of Rossler system with delayed feedback. When the engenvalues of the linear part are pure imaginary numbers, we obtain the corresponding delay value. The stability of the steady state is lost when the delay passes through the critical value, and simultaneity chaos may vanish, as well as there will be a family periodic solutions bifurcate from the steady states.

在几个参数满足一定的假设条件下，Rossler系统是一个具有混沌特性的动力系统，为了研究该系统的动力学性质并利用时滞实现混沌控制，本文首先对具有时滞的Rossler系统的平衡点进行稳定性分析，当系统的线性部分对应的特征值为纯虚根时，算出相应的时滞τ，得到了平衡点的稳定性会在时滞τ取某些值时发生翻转，同时系统的混沌特性也会出现变化，并且在平衡点处系统经历Hopf分支。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。