MIT OpenCourseWare | Electrical Engineering and Computer Science | 6.243J Dynamics of Nonlinear Systems, Fall 2003 | Home

MIT OpenCourseWare | Electrical Engineering and Computer Science | 6.243J Dynamics of Nonlinear Systems, Fall 2003 | Home

As taught in: Fall 2003

Level:
Graduate

Instructors:
Prof. Alexandre Megretski

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.