Lecture Notes
All of the lecture notes are courtesy of the course professor (Munther Dahleh), Mohammed Dahleh, and George Verghese, and are used with permission.
| SES # | TOPICS | NOTES |
|---|---|---|
| L1 | Introduction to Dynamic Systems and Control Matrix Algebra | Ch. 1 (PDF) |
| L2 | Least Square Error Solution of Overdetermined Systems | Ch. 2 (PDF) |
| L3 | Least Norm Solution of Underdetermined Systems | Ch. 2 (PDF) Ch. 3 (PDF) |
| L4 | Matrix Norms Singular Value Decomposition | Ch. 4 (PDF) |
| L5 | Matrix Perturbation Problems | Ch. 5 (PDF) |
| L6 | Dynamic Systems | Ch. 6 (PDF) |
| L7 | State-space Models Linearity and Time Invariance | Ch. 7 (PDF) Ch. 8 (PDF) |
| L8 | Solutions of State-space Models | Ch. 10 (PDF) Ch. 11 (PDF) |
| L9 | Similarity Transformations Modes of LTI Systems Laplace Transform Transfer Functions | Ch. 12 (PDF) |
| L10 | Stability Lyapunov Functions | Ch. 13 (PDF) |
| L11 | Lyapunov’s Equation for LTI Systems | Ch. 14 (PDF) |
| L12 | External I/O Stability | Ch. 15 (PDF) |
| L13 | Interconnected Systems Feedback I/O Stability | Ch. 15 (PDF) Ch. 17 (PDF) |
| L14 | System Norms | Ch. 16 (PDF) |
| L15 | Perfomance Measures in Feedback Control | Ch. 18 (PDF) |
| L16 | Small Gain Theorem Stability Robustness | Ch. 19 (PDF) |
| L17 | Stability Robustness (MIMO) | Ch. 20 (PDF) Ch. 21 (PDF) |
| L18 | Reachability — Basic Ideas | Ch. 22 (PDF) |
| L19 | Reachability — Standard and Canonical Forms, Modal Tests, etc. | Ch. 23 (PDF) |
| L20 | Observability | Ch. 24 (PDF) |
| L21 | Minimality Realization Kalman Decomposition | Ch. 25 (PDF) |
| L22 | State Feedback Observers Output Feedback Multivariable Poles Zeros | Ch. 26 (PDF) Ch. 27 (PDF) Ch. 28 (PDF) Ch. 29 (PDF) |
| L23 | Minimality of Interconnections and Pole/Zero Cancellation | Ch. 30 (PDF) |
| L24 | Conclusions |
