6.243J | Fall 2003 | Graduate

Dynamics of Nonlinear Systems

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 …
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.
Learning Resource Types
Problem Sets with Solutions
Exams with Solutions
Lecture Notes
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.)