逆

Firstly, by adopting the thought of Adomian's decomposition method, the generic dynamic model in mechanical systems are transformed into a standard first-orderdifferential-equations, and then the inverse operator method for the approximate analytic solution of nonlinear mechanical system is developed based on the exact solution in form.

主要研 究工作如下：利用Adomian的分解方法的思想，把机械系统中最一般的动力学模型转化为一阶标准型微分方程组，以形式上的精确解的表达式为基础构造了求解机械系统非线性模型近似解析解的逆算符方法；针对机械系统非线性模型的特点，提出了直接处理高阶方程的不降阶逆算符方法；证明了该方法的收敛性。

Generalized Bott-Duffin inverse; Moore-Penrose inverse; operator matrix quantum effect; sequential product

基础科学，数学，数学分析广义Bott-Duffin逆；广义逆；算子矩阵；量子效应；序列积

H. Meckl et al〔166〕—〔169〕, we propose an approximate inverse dynamics method featuring spectrum analysis and then discuss the restrictions.

2在柔性机械臂逆动力学方面，针对带一个转动铰的简单柔性机械臂，在Meckl等人工作的基础上提出了基于谱分析的构造性的近似逆动力学方法，并分析了应用限制条件。

In identifying the inverse system, the input is the output from the original system.

对逆系统建模时，原系统的输出作为逆系统参数辨识时的输入。

Using the dynamic model of the induction motor drive system , the inverse system's existence is proved, and the input-output equation of the inverse system is presented.

根据异步电动机调速系统的动态数学模型，证明了其逆系统的存在性，在此基础上得到了逆系统的输入输出方程。

It is crucial to establish the inverse dynamic process model of thermal system on research and application of the inverse dynamic process of thermal system.

建立热力系统逆动力学过程模型是热力系统逆动力学研究及应用的关键。

ABSTRACT A robust control system design method via model reference and inverse system theory is presented in this paper,and compared with the model reference adaptive approach and the inverse system design method.

摘 要 给出了一种基于模型参考最优化方法和逆系统设计方法的鲁棒控制系统设计方法，并将其同模型参考自适应方法和逆系统方法进行了比较。

Firstly, the strict-feedback nonlinear systems with unknown virtual control coefficients bi have been studied and the problem of its inverse optimality has been solved, that isThe new solvable theorem of inverse optimal gain assignment problem has been proposed through the method of modular design for the original system.

本论文的内容安排如下：第一部分把上述严格反馈系统进一步推广为具有未知虚拟控制系数bi的严格反馈系非线性统并研究其逆最优问题，即第二部分对于推广之前的系统利用模块设计方法提出新的逆最优增益配置定理。

Chapter 5 deals with the solvable theorem of adaptive inverse optimal control problems for a class of stochastic nonlinear systems driven by Wiener noises of unknown covariance. The systems are depicted by It〓 stochastic differential equations. By using an adaptive backstepping algorithm and stochastic control Lyapunov functions, the designing procedure of control laws of global asymptotic stability in probability and adaptive inverse optimal stabilization in probability are presented systematically. Adaptive control laws and parameter update laws can be obtained at the same time by this design scheme.

在第5章中，针对具有方差不确定Wiener噪声扰动和未知定常参数的随机非线性系统（假设方差的F—范数是一个常数或一个缓慢变化的量，对其进行在线辨识），给出并证明了自适应逆最优控制问题可解定理，基于随机Lyapunov定理和It〓微分规则，采用自适应Backstepping设计方法，系统地设计了全局依概率渐近稳定和自适应逆最优控制策略，这种设计方法可同时获得控制策略和自适应律，计算机数值仿真结果表明该控制算法是有效性的。

This article first on to the topic background, the topic object basic survey and the topic research goal has given brief showing, then has made a detailed elaboration to the AC-DC-AC inversion principle of work, emphatically has analyzed based on the AC-DC-AC inversion control principle as well as the SPWM profile several productions method.

本文首先就对课题的背景，课题对象的基本概况以及课题研究的目的做了简要的说明，然后对AC-DC-AC逆变器的工作原理做了一个详细阐述，着重分析了基于AC-DC-AC逆变器的控制原理以及SPWM波形的几种生成方法。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。