线性化理论

Topics covered include: nonlinear ordinary differential equations; planar autonomous systems; fundamental theory: Picard iteration, contraction mapping theorem, and Bellman-Gronwall lemma; stability of equilibria by Lyapunov's first and second methods; feedback linearization; and application to nonlinear circuits and control systems.

课程的主题包括：非线性常微分方程组；二维自治系统；与课程相关的基本理论，如比卡迭代法，压缩映射定理，Bellman-Gronwall引理，平衡点稳定性分析的李雅普诺夫第一种方法和第二种方法，反馈的线性化；以及非线性电路和控制系统的实际应用。

In order to study the whole system stability when system parameters changes, based on small signal disturbance theory, the dissertation uses partial differentiation to linear the simulation system\'s state space model, and then the first Lyapunov theory is used to analyze the stability.

采用偏微法对整个模拟系统的数学模型进行了线性化处理，基于Lyapunov稳定性理论对整个系统进行了稳定性分析，得到系统主要设计参数变化时系统的稳定性变化规律。

The improved piecewise linearization model is proposed based of the AC electric arc theory.

利用交流电弧理论，建立了电弧炉伏安特性分段线性化模型。

In fact, the control problems of the sonar array posture are track control problems. So On the basis of theoretic study, the author designs the robust output track control of the posture of the sonar base with regulable parameter and applies the study results of measurable disturbance decoupling and robust output track to the minehunting sonar array posture control, a robust control strategy with disturbance decoupling, output track and compensation for uncertainty is found.

猎雷声纳基阵的姿态控制问题实质上是跟踪控制问题，在进行理论研究的基础上，作者设计了具有可调参数声纳基阵姿态鲁棒输出跟踪控制系统，并基于反馈线性化方法将可测干扰解耦研究结果与鲁棒输出跟踪研究结果相结合，形成了同时具有干扰解耦、输出跟踪和不确定性补偿的猎雷声纳基阵鲁棒控制策略。

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。

Based on the stability theory of dynamical system, numerical computation of bifurcation diagram and the largest Lyapunov exponent of the linearized systems, the synchronization dynamics of coupled fast spike neurons with excitory chemical synapse was studied.

基于动力系统的稳定性理论、数值计算分岔图和线性化系统的最大Lyapunov指数，研究了经兴奋性化学耦合的快峰神经元的同步动力学。

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。

The exact solutions of the linearized Schwinger-Dyson equation of fermion self-energy are obtained and applied to the problem of chiral symmetry breaking in the theory of four-fermion and gauge interactions.

零温下线性化费密子自能的许温格-戴森方程的严格解被求出并用于四费密子和规范相互作用理论中的手征对称破坏问题。

The separate velocity decides the shape and size during the sphere phase. Linear relative motion differential equation can be used to reduce the debris density model. Rope and spiral is distinguished from geometry, orbital maneuver theory is used to analysis the existence of pinch point and pinch line.

在球形阶段起主要作用的是分离速度；椭球形阶段可以利用线性化相对运动方程进行分析；绳形与螺旋线形在几何上有质变，但都有结点和结线，并可以利用速度增量理论分析和解释其存在的原因。

These prove that the transfer function we deduce can describe the trends of pipe-shell heat transfer organization.The quality of steam generated from the first flash recipient is the main guide line for steam generator.

根据热平衡理论建立闪蒸室动态过程的仿真模型，应用整段线性化的简化方法得到闪蒸室产生蒸汽量与补给水流量、饱和器加热量的传递函数。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。