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ELE 523/MAE 548 : Nonlinear Systems, Spring 2014
Course Information
Lectures: Tu/Th 4:30-5:50pm, Friend 202
Instructor:
Vaibhav Srivastava
E-Quad, D-202D
vaibhavs-at-princeton.edu
References
Khalil, Hassan K., Nonlinear Systems, 3rd edition, 2002 (main text)
Sastry, S. Shankar, Nonlinear Systems Analysis, Stability and Control, Springer Verlag, Textbooks in Interdisciplinary and Applied Mathematics Vol. 10, 1999
Vidyasagar, M., Nonlinear Systems Analysis, Prentice Hall, 2nd edition, 1993
Grading: Homework, 50%; Final Project 50%
There will be approximately 6 take-home problem sets (one handed out every other week). These will be
due in class.
There will be a final project requiring a short written report and a 20 minute long presentation in early May 2014.
Tentative Course Outline
| Lecture | | Week | | Topic | | Reading (Khalil) |
| Feb 4 | | 1 | | Introduction | | Ch. 1 |
| Feb 6 | | | | Phase plane analysis | | Ch. 2 |
| Feb 11 | | 2 | | ’’ | | |
| Feb 13 | | | | ’’ | |
| Feb 18 | | 3 | | Fundamental properties of nonlinear systems | | Ch. 3 |
| Feb 20 | | | | ’’ | |
| Feb 25 | | 4 | | Lyapunov Stability | | Ch. 4 |
| Feb 27 | | | | ’’ | | |
| Mar 4 | | 5 | | ’’ | | |
| Mar 6 | | | | ’’ | | |
| Mar 11 | | 6 | | ’’ | | |
| Mar 13 | | | | ’’ | | |
| Mar 18 | | Break | | | | |
| Mar 20 | | Break | | | | |
| Mar 25 | | 7 | | Input-output stability | | Ch. 5 |
| Mar 27 | | | | ’’ | | |
| Apr 1 | | 8 | | Passivity | | Ch. 6 |
| Apr 3 | | | | ’’ | | |
| Apr 8 | | 9 | | Frequency domain analysis of feedback systems | | Ch. 7 |
| Apr 10 | | | | Advanced stability analysis | | Ch. 8 |
| Apr 15 | | 10 | | ’’ | | |
| Apr 17 | | | | Stability of perturbed systems | | Ch. 9 |
| Apr 22 | | 11 | | Perturbation theory and averaging | | Ch. 10 |
| Apr 24 | | | | ’’ | | |
| Apr 29 | | 12 | | Singular perturbation methods | | Ch. 11 |
| May 1 | | | | ’’ | | |
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