Dynamics of Nonlinear Systems

A photo of an CV-22 Osprey in rotorcraft mode, hovering above the ground.

A CV-22 Osprey, which operates in both rotorcraft and fixed-wing configurations. The complex transition between the two states presents unique control challenges. (Image is taken from U.S. Air Force Web site.)

Instructor(s)

MIT Course Number

6.243J / 2.156J / 16.337J

As Taught In

Fall 2003

Level

Graduate

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Course Features

Course Description

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.

Megretski, Alexandre. 6.243J Dynamics of Nonlinear Systems, Fall 2003. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-243j-dynamics-of-nonlinear-systems-fall-2003 (Accessed). License: Creative Commons BY-NC-SA


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