ECE1647F Introduction to Nonlinear Systems (Last updated October 13, 2024)

GB434A

Instructor

broucke at control.utoronto.ca

Lecture Section	Day and Time	Location	Start Date
LEC 01	Mon 3:30-5:30pm	BA2135	September 9

Course notes will be distributed to registered students. In addition the following references are excellent.

Nonlinear Control Systems, 3rd ed. H. Khalil, 2002.
Applied Nonlinear Control, J.-J. Slotine and W. Li, 1990.
Differential Equations, Dynamical Systems, and Linear Algebra. M. Hirsch and S. Smale, 1974.

Here is a timetable of lecture topics. The last column shows activities for the week. This schedule may be updated as the semester progresses.

Lecture	Date	Topics	Due Dates
1	Sept 9	Introduction: nonlinear ODEs; vector fields; nonlinear phenomena
2	Sept 16	Mathematical background
3	Sept 23	Existence and uniqueness of solutions	Homework 1
4	Sept 30	Continuity w.r.t. ic's; finite escape time; Comparison lemma	Quiz 1
5	Oct 7	Invariant sets; Nagumo theorem
6	Oct 14	Thanksgiving
7	Oct 21	Limit sets; Poincare-Bendixson theorem	Homework 2
	Oct 28	Fall Break
8	Nov 4	Stability definitions; Lyapunov stability theory	Quiz 2
9	Nov 11	Barbashin-Krasovksii theorem; exponential stability	Homework 3
10	Nov 18	LaSalle Invariance Principle; Barbalat's Lemma	Project Proposal
11	Nov 25	Converse theorems; boundedness
12	Dec 2	Stability of perturbed systems	Homework 4
13	Dec 16	Final Project

Homework will be submitted on Quercus by 5pm on the due date.