该模型是一个偏微分方程系统的自由边界问题。
The model is a free boundary problem for a system of partial differential equations.
本文获得了一类中立型偏微分方程系统解振动的若干充分条件。
In this paper, some sufficient conditions are obtained for the oscillation solutions of systems with high order partial differential equations of neutral type.
对带有常数滞后的微分方程系统的控制过程，我们给出了最优性的必要条件。
For control process in the systems of differential equation with constant lag necessary condition of optimality of singular control is found.
讨论奇摄动常微分方程系统的二点边界值问题，这是奇摄动问题中较难的部分。
In this paper a two-point boundary value problem for a system of singularly perturbed ordinary differential problems is considered. It is the most complicated problem in singularly perturbed equation.
相反，为了证明“红色效应”，我应该使用一张一个老男人用红笔求解微分方程系统的图像。
Instead, to demonstrate the "red effect" I should have used an image of an elderly man solving a system of differential equations using a red pen.
标准奇异点是微分代数方程系统区别于常微分方程系统的一个标志性的拓扑结构，具有重要的理论研究意义。
The standard singular point is an important structure of the differential-algebraic equation systems(DAEs), by which DAEs are differentiated from the ordinary different equation systems (ODEs).
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。
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.
研究完整力学系统准坐标表示的运动微分方程在群的无限小变换下的形式不变性。
The paper studies the form invariance of differential equations of motion for holonomic systems in terms of quasi coordinates, under the infinitesimal transformations of groups.
前已指出：我们主要关心的是用线性、时不变微分方程作为实用的模型系统。
We have already stated that our main concern will be the study of systems for which linear, time-invariant differential equations provide a useful model.
在工程控制系统中很重要的情形是受控对象是分布参数系统，由网络组成的装置——控制器是由常微分方程描述的集中参数系统。
In an engineering control system it is of great importance that the control object is described by a distributed parameter system while the controller is governed by a lumped parameter system.
根据系统变化的规律可分为由微分方程描述的连续动力系统和由映射迭代揭示的离散动力系统。
Usually there are two basic forms of dynamical systems: continuous dynamical systems described by differential equations and discrete dynamical systems described by iteration of mappings.
文中首先建立了系统的运动微分方程。
Firstly, we derived the differential equation of motion of system.
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.
绕过传统的通过求解微分方程确定温度的方法，利用人工神经网络来预测管网系统的终端温度，从而为供热管网终端泄漏诊断提供参考依据。
The artificial neural network method was used to anticipate the terminal temperature of the heat pipe network, and the diagnosis can accord to the anticipation result.
基于常微分方程数学模型建立了多体系统动力学设计灵敏度分析的伴随变量方法。
The adjoint variable method for design sensitivity analysis of multibody system dynamics based on ordinary differential equations is presented.
本文基于Gear方法对齿轮系统非线性动力学微分方程进行了数值计算分析。
Based on gear method, this paper presents the numerical calculation method for solving dynamics differential equations of gear systems.
状态空间模型的推导与传递函数的推导没有什么不同，总是先将描述系统特性微分方程写出来。
The derivation of state space models is no different from that of transfer function in that the differential equations describing the system dynamics are written first.
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。
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.
提出了一种编列线性时不变系统微分方程的方法。
A method for computer-aided formulation of linear time-invariant systems is proposed.
状态空间模型的推导与传递函数的推导没有什么不同，总是先将描述系统特性微分方程写出来。
State equations the derivation of state space models is no different from that of transfer function in that the differential equations describing the system dynamics are written first.
最后，详细论述了人体非完整系统运动微分方程的积分。
Finally, the integral of motion differential equation of human body non-integrity system was discussed in detail.
建立了适合车辆任意变速运动与任意路面不平函数的弹性支撑桥梁耦合系统的无量纲运动微分方程。
The dimensionless differential equations of motion of a coupled system consisting of an elastically supported bridge with arbitrarily uneven surface and a vehicle with varying speeds, are derived.
求解有阻尼多自由度结构系统的振动微分方程，实模态分析法是得到广泛应用的一种有效方法。
The dynamic response of the damping multi-DOF structural system is usually calculated by the real modal analysis method.
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。
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.
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。
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.
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。
This paper first illustrates the control system of hydraulic pile divers, establishes the differential equation of the hydraulic servo and determines the transfer function.
本文首先给出了一类具有无穷多个周期解的无阻尼二阶线性偏微分方程所描述的系统。
This paper is devoted to study the existence of an infinitude of periodic solutions for a class of second order linear PDE systems without damping.
本文首先给出了一类具有无穷多个周期解的无阻尼二阶线性偏微分方程所描述的系统。
This paper is devoted to study the existence of an infinitude of periodic solutions for a class of second order linear PDE systems without damping.
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