线性化理论

Then, the relations between the general nonlinear systems and its adjoint system were discussed, from which the sufficient and necessity conditions for exact linearization of general nonlinear control systems were obtained.

近20年来，由于微分几何等数学工具的引入，非线性控制系统的理论取得了长足的进展［1］，其中包括仿射非线性系统的精确线性化［2～4］。

Driver system for the stability of nonlinear and non-use of the theory of linear quadratic control law studies, select the ball location, speed and rod angle, angular velocity of the four variables as state variables, output variables for the ball position and bar angle, the establishment of linear state space equation and after the designs of clubs based on LQR control law, the design process simple and easy to realize the control law, simulation results show that the linear quadratic regulator robustness and stability.

球杆系统翻译，求高人针对球杆系统的非线性和不稳定性运用最优二次型理论进行控制律的研究，选取小球位置、速度和横杆角度、角速度四个变量为状态变量，输出变量为小球的位置和横杆的角度，建立状态空间方程并进行线性化后设计了基于LQR的球杆系统控制律，设计过程简单，控制律的实现容易，仿真结果表明了最优二次型调节器的鲁棒性和稳定性。

The computation of conformal rotational vector from rotational tensor and angular velocity is also studied, and the linearized formulation of angular velocity and acceleration is given.

为便于将该理论应用到多体系统动力学的建模中，还讨论了如何从转动张量和角速度中提取相应的保角转动矢量；以及角速度和角加速度的线性化问题。

After achieving the solution of the mathematical model,a binomial productivity equation of gas-water well with two-phase flow in formation was derived in consideration of the influence of formation damage and non-Darcy effect,thus establishing the theory of transient inflow performance relationship curve of gas-water well.

文章基于质量守恒原理，建立了气水两相地层瞬态渗流的数学模型，通过定义气水两相拟压力函数，将渗流数学模型线性化，在获得数学模型解后，考虑地层损害和非达西效应的影响，推导出在地层中为水气两相渗流的气水同产井的二项式产能方程，从而建立了气水同产井瞬态流入动态关系曲线的理论。

As to problem of time varying delay existing in NCSs, a time-varying model including certain system and uncertain system are constructed firstly, and then stability and stabilization of these systems are discussed based on time-delay system theory, cone convex optimization theory and free weighting matrices approach. Conditions of time-dependent stability and stabilization with less conservative are given in the form of linear matrix inequalities.

针对网络时滞问题建立了时变时滞NCSs的模型(包括确定系统和不确定系统)，然后利用时滞系统理论、锥补线性化方法和自由权矩阵方法研究了NCSs的稳定性和镇定性问题，并基于LMIs形式给出具有较小保守性的时滞相关稳定和镇定条件。

For Dryden power spectral density function, using the rational spectral theory to set up the linear state-space model.

针对Dryden频谱函数，通过有理谱成形理论，建立了阵风的线性化模型。

Lastly, this paper discussed the invertibility of discrete nonlinear systems and the construction of ANN α-th order time-delay inverse system for the linearization and decoupling of discrete nonlinear system is proposed.

从逆系统理论的完整性出发，本文探讨了离散非线性系统的可逆性，并给出具有线性化和解耦能力的神经网络α阶时延逆系统的结构及其实现。

The feedback linearization,system lacunarity and optimization control of the nonlinear control system are discussed.

对非线性控制系统设计理论上的难点问题进行了探讨，就非线性控制系统的反馈线性化、系统间隙度和非线性系统的优化控制进行了分析。

The principle,advantages and disadvantages of various linearization techniques are discussed.

本文首先从理论上分析了功率放大器的非线性特性，介绍了目前各种线性化技术的原理和优缺点。

Because of this large-scale interconnected power networks which are operating closely at a limited transmission level and all kinds of fast controllers which are called on to improve systems dynamic behavior, such as fast exciters、 HVDC、 FACTS and so on, the modern power system is inherently a nonlinear system, called as a stressed power system.

对于上述重载电力系统，因为传统的线性化分析方法不容易计及系统内部非线性动态结构信息，所以很难揭示其一些非线性奇异现象的实质。所以，目前国内外，用于研究强非线性系统的动态特性的理论依据主要是向量场正则形理论。

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。