All of the lecture notes are courtesy of the course professor (Munther Dahleh), Mohammed Dahleh, and George Verghese; Used with Permission
| 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 |
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