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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