University of California at Berkeley
Department of Electrical Engineering and Computer Sciences

Nonlinear Systems: Analysis, Stability, and Control

Spring Semester 2020

Course information: UCB On-Line Course Catalog and Schedule of Classes

Lecture Information: TuTh 2-3:30, 105 North Gate.
Discussion Information: Fridays 2:30-4, Cory 540
Instructor Teaching Assistant
Course Description

First graduate level course in nonlinear systems and control. Introduction to nonlinear phenomena: multiple equilibria, limit cycles, bifurcations, complex dynamical behavior. Planar dynamical systems, analysis using phase plane techniques. Describing functions. Input-output analysis and stability. Lyapunov stability theory. The Lure problem, Circle and Popov criterion. Control Lyapunov Functions. Feedback linearization, sliding mode control. The course will be punctuated by a rich set of examples, ranging from violin strings to jet engines, from heart beats to artificial neurons, and from population growth to nonlinear flight control.

Recorded Lectures (week of 3/9 used Course Capture; starting 3/16 recorded directly)
Discussion Sections
Recorded Discussions
Mailing List

Please sign the handout sheet on the first day of lectures (Tues Jan 21), OR email Professor Tomlin, so that your email will be added to the class mailing list.


Homework 30%
Midterm 30%
Final 40%

Notes and Textbook

The course is based on a set of lecture notes which will be made available throughout the term.
The textbook for the course is:

S. S. Sastry. Nonlinear Systems: Analysis, Stability, and Control. Springer-Verlag, 1999. We will be covering topics from Chapters 1, 2, 5, 9, 10, and selected topics from Chapters 3, 4, and 6.