第7章 MATLAB解方程与函数极值 7.1线性方程组求解 7.2非线性方程数值求解 7.3常微分方程初值问题的数值解法 7.4函数极值

Lecture 1: Input/Output and State-Space Models This lecture presents some basic definitions and simple examples on nonlinear dynam

3.1.2 A general uniqueness theorem The key issue for uniqueness of solutions turns out to be the maximal slope of a=a(a) to guarantee uniqueness on time interval T=[to, t,, it is sufficient to require existence of a constant M such that

with x(0)=I exist and are unique on the time interval t E [ 0, 1] for allTER\.Then discrete time system(4. 1)with f(5)=r(, i)describes the evolution of continuous time system(4.)at discrete time samples. In particular, if a is continuous then so is f Let us call a point in the closure of X locally attractive for system(4. 1)if there exists

Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.243j(Fall 2003): DYNAMICS OF NONLINEAR SYSTEMS

Proof Existence and uniqueness of r(t, u)and A(t)follow from Theorem 3. 1. Hence, in order to prove differentiability and the formula for the derivative, it is sufficient to show that there exist a function C: R++R+ such that C(r)/r-0 as r-0 and E>0 such

12.1 Systems with controllable linearizations A relatively straightforward case of local controllability analysis is defined by systems with controllable linearizations 12.1.1 Controllability of linearized system Let To: 0, THR, uo: 0, T]H Rm be a

第1章直流电路 1.1电路和电路主要物理量 1.2电路的基本定律 1.3电路的几种状态和电气设备额定值 1.4电压源、电流源、及其等效变换 1.5电路中电位的分析 1.6线性网络的分析方法 1.7非线性电阻电路

一、数据结构研究的内容 计算机中的非数值运算:字符、表格、声音、图象等 (1)对所加工的数据对象进行逻辑组织 ·数据元素及其数据项 ·数据元素之间的逻辑关系:线性或是非线性 (2)将数据对象存储在计算机中 逻辑结构在计算机中的存储被成为“物理结构”或“存储结构” 物理结构要存储:数据元素本身和数据元素之间的关系

单方程回归是最丰富多彩和广泛使用的统计技术之一。本 章介绍 EViews中基本回归技术的使用:说明并估计一个回归模 型,进行简单的特征分析并在深入的分析中使用估计结果。随 后的章节讨论了检验和预测,以及更高级,专业的技术,如加 权最小二乘法、二阶段最小二乘法(TSLS)、非线性最小二乘法、 ARIMA/ARIMAX模型、GMM(广义矩估计)、 GARCH模型, 和定性的有限因变量模型。这些技术和模型都是建立在本章介 绍的基本思想的基础之上的