matrix differential equation
英 [ˈmeɪtrɪks ˌdɪfəˈrenʃl ɪˈkweɪʒn]
美 [ˈmeɪtrɪks ˌdɪfəˈrenʃl ɪˈkweɪʒn]
网络 矩阵微分方程
双语例句
- In this paper, we study the existence and uniform boundness of the solution for a nonlinear matrix differential equation with boundary perturbation. It provides foundation for the diagonalization of nonlinear system with boundary perturbation.
研究一类具有边界摄动的非线性矩阵微分方程解的存在性和一致有界性.为伴有边界摄动的非线性系统的对角化提供了理论依据。 - The problem solving the quaternion matrix differential equation is frequently used in SINS.
捷联惯性导航系统中，常常用到解算四元数矩阵微分方程的问题。 - The matrix of numerical calculation for galerkin method and point-matching method is given through the analysis of differential operator equation.
通过对微分算子方程的理论分析，得到可用于数值计算的galerkin法和点匹配法的矩阵形式。 - The geometric description of the solution to matrix differential equation is given in two dimensions.
以二维齐次矩阵微分方程为例，给出了其解的几何描述。 - In non-classical damped linear system a matrix function transformation was introduced to get rid of the damping term which is difficult to solve in the systems. The original differential equation with non-classical damped term is changed into to a quasi time-invariant equation with a classical damped one.
针对非经典阻尼振动线性系统，为消除非经典阻尼项给求解带来的困难，通过引入矩阵函数变换消除了原系统的阻尼条件项，将非经典阻尼振动微分方程转化为拟时不变经典阻尼方程。 - Then the stiffness matrix was provided from differential equation and new coordinate transforming matrix.
然后通过引入新的坐标变换阵，得出了一般坐标系下关于梁两端任意点P.Q的刚度矩阵； - By using the operational matrix of integration based on Haar wavelet, the differential equation can be converted into algebraic equation efficiently and simply.
通过小波对积分建立的操作矩阵，简单有效地将微分方程化为代数方程。 - Firstly, a matrix ordinary differential equation of first order for state vectors of the elastic arch was derived by using the curve beam theory.
首先，利用曲梁理论导出了微弧段状态向量的一阶常微分矩阵方程； - A state transfer matrix differential equation was derived from the three-dimensional equilibrium equations and constitutive equations of a homogeneous, isotropic linear elastic body.
本文从三维弹性力学最基本的平衡方程和本构关系出发，推导出状态传递微分方程。 - The mathematical deduction and confirmation of the algorithm are introduced in the paper, which is a powerfully effective one for solving the quaternion matrix differential equation.
为此给出了解四元数矩阵微分方程的一个强有力的算式，并给出了详细的数学推导和证明。 - A delay dependent stability criterion for a class of linear large scale time varying system is deduced by employing matrix differential equation theorem and matrix exponential properties.
运用矩阵微分方程理论和矩阵指数特性，得到了时滞线性大系统时滞相关的一个稳定条件。 - The Beam-on-Dynamic-Winkler-Foundation model is used to derive the complex stiffness matrix of pile elements in layered soil, which is based on the general solution of the differential motion equation of a pile with the finite length obtained in this paper.
本文采用动力文克尔地基粱模型，在求得有限长桩运动微分方程通解的基础之上，导出了层状土中桩单元复刚度矩阵。 - In this paper, the structural element matrix is derived by the method of differential equation, and the transfer matrix is established by the compatibility conditions of two adjacent calculated elements.
本文用微分方程法导出结构单元矩阵，根据相邻两个计算单元的协调条件推导出传递矩阵。 - A new method of 3 rd order minimal parameter solution for the orthogonal matrix differential equation is modified and used to solve the quaternion differential equation, and the numerical simulation is done in the Strap-down Inertial Navigation System ( SINS).
对一种求解正交矩阵微分方程的三阶最小参数方法进行改造，将其用于四元数微分方程求解，并对其在捷联惯性导航系统姿态矩阵实时求解中的应用进行了仿真。 - A Matrix Solution to Differential Equation Initial Value Question of n Steps Variable Linear Constant Index
n阶线性变系数微分方程初值问题的矩阵解法 - In the paper, We discuss conjugate equations of linear matrix differential equation and some properties on the conjugate equation are given. We get some results on matrix similar to vector.
本文讨论了线性矩阵微分方程的共轭方程.给出了共轭方程的几个性质，得到了与向量微分方程有完全类似的结论。 - In the paper, computational sophistication is applied to compute the basic solution matrix of a sort of two-dimensional periodic differential equation which contains two parameters.
本文应用计算技巧，计算出一类含双参数的二维周期系统的基本解方阵，以这个基本解方阵为依据，研究二维周期系统的结构稳定性。 - Attitude matrix is represented by quaternion and the problem solving the quaternion matrix differential equation is frequently used in SINS.
在捷联惯性导航系统中，姿态矩阵可用四元数来表示，从而常常需要计算四元数矩阵微分方程的问题。 - Wei-Norman decomposition is a well known theory for solving matrix differential equations. The Schrdinger Equation with unitary evolution equations is a matrix differential equations, so Wei-Norman decomposition can be used for solving the multi-level quantum systems.
Wei-Norman分解对于分析矩阵微分方程的解是比较成熟的理论，含有幺正演化矩阵的薛定谔方程是矩阵微分方程，所以可以利用Wei-Norman分解来分析求出多能级量子系统的解。 - On globally exponential convergence of a matrix differential equation
一个矩阵微分方程的全局指数稳定性分析 - He matrix function, matrix series and exponential matrix are defined. The application to system of differential equation of the first order with constant coefficients is discussed.
定义了矩阵函数，矩阵级数及指数矩阵.指出了其在一阶常系数微分方程组中的应用，提供了解一阶常系数微分方程组的一个一般方法。 - A matrix solution to differential equation groups of variable linear constant index has been worked out by means of matrix index function and the concept of state shift matrix as well as the relevant conclusions regarding linear algebra and differential equation.
借助矩阵指数函数和状态转移矩阵的概念，结合线性代数和微分方程的有关结论，给出了变系数微分方程组的矩阵解法。 - Regard this kinetic energy as fun-function, then its inertia matrix M determines the differential equation.
以该机器人的动能作为泛函数，则其惯性矩阵M决定了泛函极值微分方程组的表达式。 - To obtain state matrix A of linear differential algebra equation, the equation set of the model, then the eigenvalue of state matrix A and its effection on sensitivity of excition system are calculated by QR method.
对模型方程组进行线性化，得到线性微分-代数方程的状态矩阵A；使用QR法，计算状态矩阵A的特征值及特征值对发电机励磁系统参数灵敏度。 - A Kalman-Riccati Matrix Differential Equation on a Compact Manifold
关于紧流形上的Kalman-Riccati矩阵微分方程 - A nonlinear matrix differential equation for those coupled cavities is derived and the enhanced frequency conversion efficiency formulas are calculated.
推导关于这些耦合腔的非线性矩阵微分方程式，能计算出增强倍频转换效率公式。 - The geometric description of the solution to matrix differential equation
齐次矩阵微分方程解的几何描述 - Four-wave mixing ( FWM) in all-pass micro-ring structure is analyzed with coupling matrix methods. The conversion efficiency of conjugated wave is calculated with differential equation theory; the simulated curve of conversion efficiency is obtained and the influence of each parameter is analyzed. 4.
用耦合矩阵理论分析了全通微环共振结构中的四波混频效应，运用微分方程知识求解出共轭波的转换效率，数值模拟出转换效率的曲线图并分析各共振器各个参数对转换效率的影响。 - First reduce the high-order matrix differential equation into a first-order matrix differential equation, and then use the three matrix-matrix spline constructed a numerical solution of linear differential equations, so as to solve the problem of higher-order differential equation.
首先将高阶矩阵微分方程降阶，转化为一阶矩阵微分方程，然后利用四次矩阵样条构造一阶矩阵线性微分方程的数值解法，从而解决上述类型的高阶矩阵微分方程问题。 - In this paper, the idea of matrix was given by discussing many mathematicians 'works in quadrant form, differential equation and determinant, followed the social and cultural background. The paper mainly focused on the works of Sylvester and Gloria.
探讨了代数不变量早期发展的社会和文化背景，指出众多数学家在二次型、微分方程以及行列式等方面的工作孕育了矩阵的思想，并重点论述了西尔维斯特、凯莱关于代数不变量理论的研究工作。