结果表明，通过系统动力学模拟可将微分博弈转化为博弈的矩阵形式，进而方便地求出局中人均衡策略。
The results show that differential game can be transferred to the matrix form of the game, and players' equilibrium strategies can be solved simply through system dynamics simulation.
提出了新的对偶向量形式和新的对偶微分矩阵。
A new form of dual vectors and a new dual differential matrix is presented.
并对在该模型下建立的动力矩阵用动力凝聚法进行简化，推导了相应的振动微分方程。
Through dynamic force condensing, the dynamic matrix of mega-frame is simplified, and corresponding oscillatory differential equation is obtained.
本文采用的研究方法有矩阵方法，代数方法和微分几何理论。
The methods used in this dissertation include matrix, algebra as well as differential geometry theory.
整个模型以矩阵形式表达，避开了对机构输出表达式直接微分时复杂的数学运算，成功地解决了机构输出参数误差的相关性问题。
Stated in matrix form, the module shuns the complex direct differential of mechanical output expression, and resolves the relativity of mechanical output parameter error successfully.
系统的哈密顿函数是作为矩阵微分算子的狄拉克算子，它不是半有界的。
The Hamiltonian of the system is the Driac operator which as a matrix differential operator is not semibounded from below.
基于一类矩阵方程的参数化解，给出了该比例加微分反馈特征结构配置设计参数化方法。
Based on parametric solutions for a type of matrix equations, a parametric method for this eigen-structure disposition problem is propose.
为建立机车各部件的垂向动力学微分方程，计算各悬挂力的输出响应，建立了系统质量、阻尼和刚度的增广矩阵。
Augmented mass, damping, stiffness matrix of system was set up to derive vertical dynamic differential equations for locomotive components and obtain output responses of suspensions.
从理论分析到微分方程的建立做了详细的推导，并写出了刚度矩阵、阻尼矩阵和质量矩阵。
It is detailed derived from theory analysis to differential equation, and its damping matrix, rigidity matrix and quality matrix are given.
利用正交多项式序列的正交性及微分算子矩阵，论述了时变非线性分布参数系统参数估计的正交多项式法。
New method of parameter estimation for time varying non linear distributed systems is proposed in term of orthogonality of orthogonal polynomial and differential operation matrix.
本文利用微分方程单位解矩阵估计的相关方法，得到了确定含有非线性电阻的动态电路唯一稳态的条件。
Based on the estimation of the unit solution matrixes of differential equations, the unique steady state of the dynamic circuits with nonlinear resistors is studied by matrix measure.
根据微分误差模型，建立了机床刚度矩阵，得出了机床位置刚度和转动刚度的分布情况，着重讨论了铰链刚度对机床刚度的影响。
The differential error model was used to develop the machine tool stiffness matrix. The solution gave contour plots of the position stiffness and the rotation stiffness.
采用重心有理插值近似未知函数，得到未知函数的各阶微分矩阵。
The differentiation matrices of unknown function are constructed by using barycentric rational interpolation.
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。
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.
本文应用对母函数微分的方法得到正态随机矩阵多项式的均值与协差阵的表达式。
An expression for the mean and covariance matrix of normal random matrix polynomial is derived by applying the method of matrix differentiation to generating function.
它是用微分算子矩阵方法研究广义动态系统的开端。
The polynomial matrix criteria of controllability and observability related to such systems are presented.
本文提出一种微分运算矩阵法，通过切比雪夫级数和最小二乘法辨识线性分布参数系统的参数。
In this paper, a method of operational matrix of differentiation is introduced in the identification of coefficients of linear distributed system by using Chebyshev series and least squares.
首先推导了单模光纤的微分琼斯矩阵方程，并引入微分琼斯矩阵的表象理论。
The differential Jones vector equation is derived, then the representation theory of differential Jones-matrix is introduced.
计算积分的方法、复数方法、无线级数、奇殊函数、微分方程、向量及矩阵、群论。
Methods in evaluating integrals, some complex variable methods, infinite series, special function, ordinary differential equations, vector and materials, groups and group representations.
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。
Regard this kinetic energy as fun-function, then its inertia matrix M determines the differential equation.
运用基解矩阵和摄动方法，给出了两类微分方程的通解表达式。
By using fundamental solution matrix and method of perturbation, we give the expression of general solutions for two classes of differential equations.
使用了自动生成参数矩阵及连接矩阵的技术，并采用梯形法求解微分方程，可对一般性的输入信号进行迅速、准确的仿真输出。
The paper also describes the technique of forming parameter matrix and linking matrix automatically and solving the differential equations of all kinds of signals.
根据变截面框筒结构的截面沿高度为阶形变化的特点，以每个相同截面的层作为一个计算单元，每个单元由微分方程组导出其单元矩阵、截面矩阵和传递矩阵。
Every storey with a same section is taken as a calculation element. The element matrix, section matrix and transfer matrix of every element are derived by the differential equations.
在弹性力学求解新体系中，将对偶向量进行重新排序后，提出了一种新的对偶微分矩阵，对于有一个方向正交的各向异性材料的三维弹性力学问题发现了一种新的正交关系。
In a new systematic methodology for theory of elasticity a new dual differential matrix is presented by the dual vectors over again sorted and a new orthogonality relationship is discover.
最后通过与精确解之间的数值误差和误差图像曲线的比较，验证了所提方法在矩阵微分方程数值解应用中的可行性和有效性。
Finally through a comparison of numerical error and error images, proves that the feasibility and effectiveness of the methods for the numerical solution of the matrix difference equations.
本文讨论的是矩阵样条函数在矩阵微分方程数值解中的一些应用。
This article discusses some applications of the matrix differential equations used by matrix spline function.
第一节介绍了三次矩阵样条函数方法和四次矩阵样条函数方法逼近一阶矩阵线性微分方程的数值解。
Section I describes the numerical solution of first order matrix linear differential equation using the cubic matrix spline function and quartic matrix spline function.
第二节介绍用三次矩阵样条函数方法逼近一阶矩阵非线性微分方程的数值解。
Section II describes the numerical solution of first-order matrix differential non-linear equation using the cubic matrix spline function.
第二节介绍用三次矩阵样条函数方法逼近一阶矩阵非线性微分方程的数值解。
Section II describes the numerical solution of first-order matrix differential non-linear equation using the cubic matrix spline function.
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