Prof. M.E. Broucke | GB434A | Instructor | broucke at control.utoronto.ca |
Lecture Section | Day and Time | Location | Start Date |
LEC 01 | Mon 12:30-2:30pm | BA4164 | September 11 |
Course notes will be distributed to registered students. In addition the following references are excellent.
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 11 | Introduction: nonlinear ODEs; vector fields; nonlinear phenomena | |
2 | Sept 18 | Mathematical background | |
3 | Sept 25 | Existence and uniqueness of solutions | Homework 1 |
4 | Oct 2 | Continuity w.r.t. ic's; finite escape time; Comparison lemma | Quiz 1 |
5 | Oct 9 | Thanksgiving | |
6 | Oct 16 | Invariant sets; Nagumo theorem | |
7 | Oct 23 | Limit sets; Poincare-Bendixson theorem | Homework 2 |
8 | Oct 30 | Stability definitions; Lyapunov stability theory | Quiz 2 |
Nov 6 | Fall Break | ||
9 | Nov 13 | Barbashin-Krasovksii theorem; exponential stability | Homework 3 |
10 | Nov 20 | LaSalle Invariance Principle; Barbalat's Lemma | Project Proposal |
11 | Nov 27 | Converse theorems; boundedness | |
12 | Dec 4 | Stability of perturbed systems | Homework 4 |
13 | Dec 18 | Final Project |
Homework will be submitted on Quercus by 5pm on the due date.
Homework | Chapter | Problems | Due Date |
1 | Appendix A | A.13, A.14, A.15, A.16, A.18, A.22, A.24 | September 25 |
2 | Chapter 1 | 1.5, 1.13, 1.15 (parts 2, 6), 1.16 | October 16 |
3 | Chapter 2 | 2.2, 2.3, 2.4, 2.5, 2.8 | November 13 |
4 | Chapter 3 | 3.8, 3.9, 3.10, 3.11 | December 4 |
Homework | 40% |
Quizzes | 20% |
Final Project | 40% |