Firstly, we derived the differential equation of motion of system.
文中首先建立了系统的运动微分方程。
Based on the fully Cartesian coordinates, a differential/algebraic equation system of multibod.
利用完全笛卡尔坐标描述多刚体系统，建立多刚体系统动力学微分-代数方程。
Consider the distributed parameter system described by the second order partial differential equation of composed type, we discuss its a boundary optimal control problem with quadratic performance.
考虑用二阶复合型偏微分方程所描述的分布参数系统，研究了它的一个使平方性能指标达到最小值的边界最优控制问题。
Owing to the character of structure of lower-triangular system, the high-rank state of each differential equation is used as virtual control, then the control law is constructed by recursive design.
根据下三角系统的结构特点，将系统每个微分方程中的高阶状态用作虚拟控制进行设计，通过循环设计最终得到系统控制所需要的控制策略。
Finally, the integral of motion differential equation of human body non-integrity system was discussed in detail.
最后，详细论述了人体非完整系统运动微分方程的积分。
A power-like equation, a Virial-like theorem, an integral variational principle and a differential variational principle for the system are deduced by using the time-integral identity.
给出系统的时间积分等式，并由此等式导出类能量方程、类维里定理、一个积分变分原理和一个微分变分原理。
Based on the mechanics model and differential equation of the system, the key affecting factors were analyzed and appropriate measures were put forward to make the injection stable at low velocity.
通过建立力学模型和系统的运动微分方程，分析主要影响因素，提出相应措施，达到注射机注射过程低速稳定的目的。
Apply Lagrange equation of the first kind to the system, and get a set of the differential - algebraic equations (DAEs) of its absolute coordinates.
对系统应用第一类拉格朗日方程，得到系统位形坐标的微分—代数方程组。
In this paper, multi-layer feedforward neural networks are used to solve the nonlinear partial differential equation, and approach the centre manifold of the nonlinear system.
本文用多层前向神经网络求解该非线性偏微分方程，从而逼近非线性系统的中心流形。
This paper first illustrates the control system of hydraulic pile divers, establishes the differential equation of the hydraulic servo and determines the transfer function.
阐述液压桩机的控制系统；建立液压伺服机构的微分方程和导出传递函数。
The state equation and vibration differential equation of suspension system was set up through selecting state variable.
选定状态变量，得出悬挂系统状态方程和振动微分方程。
System stability is prone to be guaranteed by using the proposed control method due to the fact that the modal control law is designed directly from time-delay differential equation.
由于模态控制律直接通过时滞微分方程而得出，因此所给控制方法易于保证控制系统的稳定性。
The driveline for a tractor vehicle is simplified as a 2-DOFs(degree of freedom)torsional vibration system, and is described as a second-order differential equation.
将牵引车的传动系简化为一个2自由度的扭转振动系统，并以二阶微分方程描述。
In this paper, the identification problem of stochastic multivariable continuous-time system which is described by a stochastic vector differential equation is discussed.
本文讨论了由随机向量微分方程描述的多变量连续系统的辨识问题。
We prove that the solution of a nonlinear complementarity problem is exactly the equilibrium point of differential equation system, and prove the asymptotical stability and global convergence.
在一定的条件下我们证明了非线性互补问题的解是该微分方程系统的平衡点，并且证明了该微分方程系统的稳定性和全局收敛性。
The energy app roach (Hamilton's principle) is employed to obtain the governing partial differential equation of motion from the expressions of potential and kinetic energies of the system.
通过系统的动能和势能表达式，应用哈密尔顿原理，可获得主导偏微分运动方程。
After the equilibrium of fast exchange process is reached, the slow exchange process can be treated as pseudo-single exchange center system by means of the differential kinetic equation.
当快速交换过程达到平衡后，慢过程可用微分动力学方程式按均匀交换体系进行处理；
Differential method is used for the discretion of time zone, and a direct solution method and an incremental solution method are given out for the solution of the non-linear system equation.
求解方程时，在时间域上采用差分法进行离散，给出了求解系统方程的直接法和增量法。
This paper presents a numerical simulation algorithm based on numerically solving differential equation system by means of the Transmission Line Modeling (TLM) for lumped inductor.
应用集总电感元件的传输线建模方法(TLM)构造了一种基于数值求解微分方程的数字仿真算法。
The differential equation of motion of the system is first transformed to a state-space model with time delay control input.
首先将系统的运动微分方程改写成状态空间模型，其控制输入中存在时滞。
In order to study chaos movement, Accurate solution of non-linear free vibration differential equation is by solving a kind of free vibration equation of non-linear dynamics system.
为了研究混沌运动，对一类非线性动力系统的自由振动方程进行了求解，继之给出了单层扁锥面网壳非线性自由振动微分方程的准确解。
By solving the differential equation groups to describe the train system, a series of simulation results about hunting motion stability, dynamic negotiation and ride comfort were worked out.
通过求解描述列车系统的运动微分方程组，得出了列车蛇行运动稳定性、动态曲线通过性能及运行平稳性等方面的一系列数值仿真结果。
The kinematics of free electrons is described by the free Dirac equation, a four-dimensional system of partial differential equations.
自由电子的运动学由自由狄拉克方程——一个四维系统的偏微微分方程描述。
In the second chapter, we study an infinite delay differential equation, the system was widely applied in the biology, neural network and some other fields.
第二章是研究一类无穷时滞微分系统，此系统在生物，神经网络等领域中都有广泛应用。
Thus a problem of solving the output correlation function of nonlinear system is turned into a problem of solving an ordinary differential equation.
将求非线性系统输出相关函数的问题，变成解常微分方程的问题。
The paper has used concise methods of logical analysis and reasoning to describe the relation between the first-order quasilinear partial differential equation and its system of characteristic...
对一阶拟线性偏微分方程与其特征方程组的关系，文中给出了简洁的逻辑分析和推导方法。
By the discretization of spatial variable in the equation, a third-order differential system of equations containing periodic time-varying coefficient is derived.
采用微分求积法对方程中的空间变量进行离散，得到仅含有时间变量的三阶周期系数微分方程组。
When the match between the unemployed and the vacant positions is efficient, the economic system described by a four-dimensional differential equation system has a stable two-dimensional manifold.
当失业工人和空闲职位的匹配是有效时，表示经济系统的四维动力系统存在一个稳定的二维流形。
When the match between the unemployed and the vacant positions is efficient, the economic system described by a four-dimensional differential equation system has a stable two-dimensional manifold.
当失业工人和空闲职位的匹配是有效时，表示经济系统的四维动力系统存在一个稳定的二维流形。
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