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

As taught in: Fall 2003

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.)




Prof. Alexandre Megretski

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.

Technical Requirements

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

*Some translations represent previous versions of courses.