中文名: 斯坦福大学开放课程 : 线性动力系统绪论
英文名: Open Stanford Course : Introduction to Linear Dynamical Systems
资源格式: MP4
课程类型: 物理
学校: Stanford
斯坦福大学
主讲人: Stephen Boyd
版本: 开放式课程/更新至第1集
发行日期: 2008年
地区: 美国
对白语言: 英语
简介:
课程介绍:
斯坦福大学开放课程 : 线性动力系统课程 课程代号EE263
Open Stanford Course : Introduction to Linear Dynamical Systems
线性动力系统( EE263 )介绍应用线性代数和线性动力系统,与应用电路,信号处理,通信和控制系统。主题包括:最小二乘aproximations的超定方程和最不规范的解决方案的underdetermined方程。对称矩阵,矩阵范数和奇异值分解。特征值,左,右特征向量,和动态的解释。矩阵指数,稳定和渐近性。多输入多输出系统,冲动和步骤矩阵;卷积和转移矩阵描述。控制,可达性,状态转移,和最不规范的投入。估计观测和最小二乘状态。
Course Description
Introduction to applied linear algebra and linear dynamical systems, with applications to circuits, signal processing, communications, and control systems.
Topics include: Least-squares aproximations of over-determined equations and least-norm solutions of underdetermined equations. Symmetric matrices, matrix norm and singular value decomposition. Eigenvalues, left and right eigenvectors, and dynamical interpretation. Matrix exponential, stability, and asymptotic behavior. Multi-input multi-output systems, impulse and step matrices; convolution and transfer matrix descriptions. Control, reachability, state transfer, and least-norm inputs. Observability and least-squares state estimation.
Prerequisites: Exposure to linear algebra and matrices. You should have seen the following topics: matrices and vectors, (introductory) linear algebra; differential equations, Laplace transform, transfer functions. Exposure to topics such as control systems, circuits, signals and systems, or dynamics is not required, but can increase your appreciation.
主讲: Stephen Boyd
Stephen P. Boyd is the Samsung Professor of Engineering, and Professor of Electrical Engineering in the Information Systems Laboratory at Stanford University. His current research focus is on convex optimization applications in control, signal processing, and circuit design.
Professor Boyd received an AB degree in Mathematics, summa cum laude, from Harvard University in 1980, and a PhD in EECS from U. C. Berkeley in 1985. In 1985 he joined the faculty of Stanford’s Electrical Engineering Department. He has held visiting Professor positions at Katholieke University (Leuven), McGill University (Montreal), Ecole Polytechnique Federale (Lausanne), Qinghua University (Beijing), Universite Paul Sabatier (Toulouse), Royal Institute of Technology (Stockholm), Kyoto University, and Harbin Institute of Technology. He holds an honorary doctorate from Royal Institute of Technology (KTH), Stockholm.
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本课程系列内容来源于斯坦福大学的“Stanford Engineering Everywhere ”项目。
官网地址: http://see.stanford.edu/see/courseinfo.asp...bfcfe5f6
课程视频预览:
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