查询词典 piecewise linearization

Necessary and sufficient conditions for state feedback linearization of a class of nonlinear discrete-time systems is presented.

4给出并证明了一类多输入非线性离散系统状态反馈线性化的充要条件。

In the part four, part five and part six of this dissertation, we mainly discuss the problem of linearization.

本文在讨论三角系统反馈线性化条件的同时，也给出了三角系统具体线性化实现的方法。

As we know, many results on analytic solutions of iterative equations are obtained by constructing a majorant series. For technical reasons, in previous works an indeterminate constant α, as the eigenvalue of the linearization of unknown function at its fixed point, is required to be off the unit circle or lie on the circle with the Diophantine condition.

已有的许多关于迭代方程的解析解结果都是运用优级数法得到的，并要求一个作为未知函数在其不动点处的线性部分的特征值的常数α不在单位圆周上或者α在单位圆周上但满足Diophantine条件。

As we know, many results on analytic solutions of iterative equations are obtained by constructing a majorant series. For technical reasons, in previous works an indeterminate constant a, as the eigenvalue of the linearization of unknown function at its fixed point, is required to be off the unit circle or lie on the circle with the Diophantine condition.

已有的许多关于迭代方程的解析解结果都是运用优级数法得到的，并要求一个作为未知函数在其不动点处的线性部分的特征值的常数α不在单位圆周上或者α在单位圆周上但满足Diophantine条件。

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 the chapter 3,we base on the existence of periodic solution ,using the method of linearization and applying the mean value theorem and the variation-of-constants formula, we get the sufficient condition of the exponential stability of periodic solution of a class of nonlinear functional differential system .

在第三章中，建立在系统周期解存在的基础上，利用线性化的方法，根据微分中值定理和常量变差公式，得到了一类非线性泛函微分系统周期解指数稳定的充分条件。

Due to the fact that the method based on local linearization is usually lost in local minimum values and the optimization solution is dependent on the selection of initial solution,the standard genetic algorithm has po...

该算法利用拟网格法初始种群和综合交叉策略，克服了早熟收敛现象，从而提高了遗传寻优的效率。理论模型反演与其它方法比较，结果说明遗传算法具有不依赖初始模型，不容易陷入局部极小，多点多路径概率搜索，以及隐含并行性等优点。

The equations of dynamics for the balance are established by Kane's method, from which derives the characteristic equation of natural frequency by means of linearization of dynamic equations, and the six natural frequencies being developed according to the theory of vibration. The law of the six natural frequencies varying with mass of the upper platform and the stiffness of the elastic element are presented,and the Finite Element Method is employed to testify the validity of theoretical results.

基于 Kane 方法研究天平的动力学及模态，通过线性化动力学方程建立天平的固有频率方程，依据振动理论推导出并联天平的六阶固有频率及其对应的振型，同时研究了天平的六阶固有频率随敏感单元刚度系数及上平台质量的变化规律，并用有限元法验证理论计算结果的正确性。

By means of Floquet theory,Lyalpunov function, Hurwitz criterion, linearization, Lasalle invariable set principle,, characteristic line, coincidence degree, estimation of inequality ,numerical simulation and so on, we study two kinds of models with impulsive vaccination.

其中综合运用Floquet 原理、Lyapunov函数、 Hurwitz判据、线性化、 Lasalle不变集、数值模拟、射频映射、分支理论、不等式估计、重合度理论等方法和知识，系统地研究了两类实施脉冲疫苗策略的非线性模型。

Simulation results show that the performance of the open-loop control system is poor when the model parameters change. The second system is designed via feedback linearization method. Since the path signal is introduced as feedback signal, the designed closed-loop control system improves the system robustness to the parameter perturbation. Simulation results verify that the closed-loop control system shows better performance than the time optimal control system.

前者侧重于时间最短的控制性能，但由于是开环控制，当出现参数摄动时，系统的性能会受到较大影响；后者由于引入了飞艇轨迹的反馈信号，因而相对提高了系统对参数摄动的鲁棒性，计算量较小，并且仿真结果证实了这种闭环系统设计方案可以抑制参数摄动带来的影响，与时间最优开环控制系统相比，显著提高了控制精度、改善了控制效果。

Foods high in this vitamin include oily fish such as salmon, tuna and, and fish liver oils.

维生素D含量高的食物包括诸如大麻哈鱼、金枪鱼和鲭鱼之类的油鱼以及鱼肝油。

We need you to cosign our public letter demanding that press intimidation cease immediately, and that all charges be dropped.

我们需要您cosign我们的公共信，要求记者立即停止恐吓，并要求所有收费下降。