This section contains selected lecture notes. The numbering of lectures differs slightly from that given in the Calendar section.
| LEC # | TOPICS | LECTURE NOTES |
|---|---|---|
| 1 | Introduction, linear algebra review | (PDF) |
| 2 | Least square estimation | (PDF) |
| 3 | Least square solutions of linear problems | (PDF) |
| 4 | Singular values | (PDF) |
| 5 | Matrix perturbations | (PDF) |
| 6 | Dynamical systems | (PDF) |
| 7 | State-space models | (PDF) |
| 8 | Solutions of state-space models | (PDF) |
| 9 | Transfer functions | (PDF) |
| 12 | I/O stability | (PDF) |
| 13 | I/O stability (cont.) | (PDF) |
| 16 | Bode's sensitivity integral | (PDF) |
| 17 | Robust stability | (PDF) |
| 20 | Reachability and observability | (PDF) |
| 21 | Minimal realizations | (PDF) |
| 22 | Balanced realization | (PDF) |
| 23 | Feedback stabilization | (PDF) |
| 24 | H2 optimization | (PDF) |
| 25 | H∞ optimization | (PDF) |