查询词典 piecewise linearization

The solution of zero order is taken into the first order approximate of equation of motion. Then we make the equation linearization to get the solution of first order. So is way to obtain the solution of second order.

均匀、恒定解作为0阶解代入1阶近似运动方程，使之线性化，求出1阶近似解，同理将1阶解代入2阶近似运动方程，使其线性化，求出2阶近似解。

In this paper, the sorting of wear, the mechanics of wear particle formed and the characteristics of wear particles are introduced, and morphology characteristics parameter of wear particle are determined, which is particle brim digital feature. Based on image characters, after pre-process, section and extracting of contour parameter of wear particle using image process technique, four shape character parameters are extracted by fourier series expansion. After analyzing fundamental principle and shortcomings of neural network, current BP algorithm is improved in output optimization, network linearization implication optimization and adding momentum, and then astringe speed of BP algorithm.

本文介绍了磨损的分类以及磨粒的生成机理、磨粒的形态特征，应用摩擦学系统分析的观点，确定磨粒边缘数字特征为磨粒的识别特征参数；根据磨粒图像的特征，利用计算机图像处理技术对磨粒图像进行预处理、分割、轮廓参数的提取，采用傅立叶级数展开式提取磨粒四个形状特征参数：圆形度、散射度、凹度、细长度；针对 BP(Back-Propagation)神经网络收敛速度慢的特点，对现行的 BP 算法进行改进，并通过实验验证改进后的网络收敛速度快；研究设计了磨粒图像采集系统；利用 BP 算法建立磨损磨粒自动识别算法模型 AWPRM(Auto Wear Particle Recognition Model)。

The paper aim at the three-phase voltage source SPMW-inverter, which is applied in variable-speed wind turbines system, adopts the theory of nonlinear counterchange and nonlinear feedback, creates the three-phase voltage source PWM-inverter's nonlinear model, and deduces it's feedback linearization equation, consequently, the three-phase voltage source PWM-inverter active and reactive current decoupling control is proposed.

该文针对变速风力发电机组系统所用的三相电压型SPWM 逆变器，采用非线性变换和非线性反馈理论，建立了三相电压型 PWM 逆变器非线性数学模型，推导出其反馈线性化方程，从而得出三相电压型 PWM 逆变器有功电流和无功电流的解耦控制策略。

In this paper,we establish Lyapunov Direct and Feedback Linearization two methods to analyze stability of Duffing systems which belongs to nonlinear systems.

首先，本文对给定的模型进行适当的变形后，构造出相应的Lyapunov函数，通过确定一定的条件，使其满足Lyapunov第二方法渐近稳定性定理，从而使系统具有稳定性。

The influence of the linearization of rectifier external characteristic on the short-circuit current calculation is specially analyzed,because the exter.

给出了短路电流计算的数学模型，并利用可视化语言CVI完成了短路电流仿真计算；分析了整流机组外特性线性化对短路电流计算的影响。

In the following computer simulink we draw the conclusion that this method improve Linearization formular precision obviously.

最后，在计算机仿真试验中，可以观测到线性化公式的精度有了明显的提高。

Based on the attenuation tomographical method in time domain, we propose a successive linearization method which is similar to the current traveltime tomographical methods.

在时间域衰减成像的基础上，建立了一种与当前走时层析成像类似的衰减成像方法——逐次线性化衰减层析成像方法，这是一种基于射线理论的方法。

Some unknown elements always exist in the analysis process for the control systems, such as unmodeled dynamics, parametric uncertainties, change of the operating environment, model reduction and linearization approximations, etc., or external disturbance.

在对实际控制过程的分析过程中，总有一些未知因素存在，诸如未建模动态、参数不确定性、工作环境的变化、降阶及线性化近似等，也包括外部干扰的不确定性。

By means of linearization and Liapunov-Lasalle invaicant set theorem, the stable results of various equilibriums are obtained. The joint influences of quarantine period, infected period, and vaccinal immunity on the disease are exposed.

利用线性化和Liapunov-Lasalle不变集的方法，得到了各类评点的稳定性结论，揭示了染病期、隔离项和接种对疾病发展趋势的共同影响。

Furthermore, through the linearization model, the control laws of the aped tracking and feedback is designed and so the observer is designed and it can improve the velocity and accuracy of the speed-tracking under the condition which guaranteed the stability of the whole closed loop system.

本文正是为解决此类非线性限制问题而进行了深入的理论研究，在综合分析三相交流直线永磁同步伺服电动机非线性动态数学模型的基础上，采用反馈线性化控制理论，建立了三相交流直线永磁同步电动机速度跟踪闭环系统动态的输入—输出模型，进而通过该线性化模型设计反馈控制律、速度跟踪控制律和负载阻力扰动观测器，在保证整个闭环系统稳定的前提下，提高伺服跟踪的快速性和精确性。

They have quite a lot of work to do.

他们有许多工作要做。

Let us give you a more elaborate example of this process.

让我们给你这个过程的更多的详细例子。