6.243J / 2.156J / 16.337J非线性系统的动力学特性6.243J / 2.156J / 16.337J Dynamics of Nonlinear Systems |
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课程网址: | http://ocw.mit.edu/courses/electrical-engineering-and-computer-sc... |
主讲教师: | Alexandre Megretski |
开课单位: | 麻省理工学院 |
开课时间: | 2003-01-01 |
课程语种: | 英语 |
中文简介: | 本课程介绍非线性确定性动力系统。主题包括:非线性常微分方程;平面自治系统;基础理论:皮卡迭代、收缩映射定理、Bellman-Gronwall引理;李雅普诺夫一、二方法的平衡稳定性反馈线性化;并应用于非线性电路和控制系统。 |
课程简介: | This course provides an introduction to nonlinear deterministic dynamical systems. 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. |
关 键 词: | 非线性系统; 确定性动力系统; 常微分方程; 平面自治系统; 皮卡德迭代; 压缩映射定理; 反馈线性化; 非线性电路 |
课程来源: | 麻省理工学院公开课 |
最后编审: | 2024-07-23:chenjy |
阅读次数: | 66 |