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This dissertation discusses the numerical solution of diff...

本文研究微分代数方程的数值求解问题。

The basic idea of the method is: take a diffeomorphism mapping and coordinate transformation to the nonlinear model, to get exact linearization model of the power system, with the state feedback. At last, optimal control method is adopted to design the chaos controller of the power system.

该方法基本路线为:对系统非线性模型通过微分同胚进行坐标变换,再采用状态反馈,完成对电力系统非线性模型的精确线性化处理,之后,采用最优控制方法,设计控制器。

A catastrophe potential function, which has the same form of swallowtail catastrophe, was obtained by dimensionalnormalization and diffeomorphism.

基于能量平衡方程建立了热烟气层轰燃模型,经量纲归一化和微分同胚变换,得到属于燕尾突变的势函数。

Based on the diffeomorphism transformation and Lyapunov direct method, controllers for the reference yaw angle and the reference speed are designed.

首先应用微分同胚等效变换和Lyapunov直接法设计参考航向和参考速度,然后对船舶模型参数不确定的操纵环路和推进环路分别设计神经网络稳定自适应控制器跟踪参考航向和参考速度,并对外界风浪流干扰进行自适应补偿。

The modeling of GM (1,1) model is to gain difference equation by dispersing albinism differential equation, then to estimate model parameters by the difference equation.

GM(1,1)模型的建模过程是由白化微分方程离散化得到差分方程,再由该差分方程估计模型参数。

The relation between difference equation and differential equation is studied by analyzing the mechanism in building grey models, and a "bridge" is set up between difference equation and differential equation by sampling theorem and state transition matrix.

通过对灰色系统模型建模机理进行深入剖析,利用采样定理和状态转移矩阵在差分方程和微分方程之间架起一座桥梁,通过算例仿真实验证明了该算法的有效性。

In the example of condensation refrigeration system, the constraint relation was built according to qualitative difference equation.

在压缩制冷系统实例中,根据制冷系统的定性微分方程建立约束关系。

Theorem 2 If has continuous partial derivatives at , then is differentiable at .

定理2如果函数在点的偏导数连续,则函数在该点可微分。

Based on initial condition, during certain time span, numerical analysis method of differential equation, algebra iteration and optimization method are used to solve response of generalized system and to analyze stability of generalized system.

从初始条件出发,在一定时间长度上,采用微分方程数值积分法、代数迭代和优化方法来求解系统响应,获得非线性广义系统稳定性的数值分析方法。

Long-term artificial intelligence-related books often contain a complex matrix algebra and differential equations.

长期以来人工智能方面的书籍往往包含复杂矩阵代数和微分方程。

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