6.243J / 2.156J / 16.337J Dynamics of Nonlinear Systems

Fall 2003

A CV-22 Osprey aircraft.
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.)

Course Highlights

This course site features a complete set of lecture notes.

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.

Technical Requirements

MATLAB® software is required to run the .m files found on this course site.

*Some translations represent previous versions of courses.

Donate Now


Prof. Alexandre Megretski

Course Meeting Times

Two sessions / week
1.5 hours / session