| L1 | Introduction to Dynamic Systems and Control
Matrix Algebra | PS1 Out |
| R1 | Linear Equations | |
| L2 | Least Square Error Solution of Overdetermined Systems | |
| L3 | Least Norm Solution of Underdetermined Systems | PS1 Due
PS2 Out |
| R2 | Least Squares | |
| L4 | Matrix Norms
Singular Value Decomposition | |
| L5 | Matrix Perturbation Problems | PS2 Due
PS3 Out |
| R3 | SVD | |
| L6 | Dynamic Systems | PS3 Due
PS4 Out |
| R4 | Dynamic Models | |
| L7 | State-space Models
Linearity and Time Invariance | |
| L8 | Solutions of State-space Models | PS4 Due
PS5 Out |
| R5 | Jordan Form | |
| L9 | Similarity Transformations
Modes of LTI Systems
Laplace Transform
Transfer Functions | |
| L10 | Stability
Lyapunov Functions | PS5 Due
PS6 Out |
| R6 | Lyapunov Methods | |
| L11 | Lyapunov’s Equation for LTI Systems | PS6 Due |
| | Test Review |
| | In Class Mid-Term |
| L12 | External I/O Stability | PS7 Out |
| R7 | I/O Stability | |
| L13 | Interconnected Systems
Feedback
I/O Stability | |
| L14 | System Norms | PS7 Due
PS8 Out |
| R8 | Nyquist Stability | |
| L15 | Perfomance Measures in Feedback Control | |
| L16 | Small Gain Theorem
Stability Robustness | PS8 Due
PS9 Out |
| R9 | Stability Robustness | |
| L17 | Stability Robustness (MIMO) | PS9 Due
PS10 Out |
| R10 | Stability Robustness with Structured Uncertainty | |
| L18 | Reachability — Basic Ideas | |
| L19 | Reachability — Standard and Canonical Forms, Modal Tests, etc. | PS10 Due
PS11 Out |
| R11 | Reachability | |
| L20 | Observability | |
| L21 | Minimality
Realization
Kalman Decomposition | PS11 Due
PS12 Out |
| L22 | State Feedback
Observers
Output Feedback
Multivariable Poles
Zeros | |
| L23 | Minimality of Interconnections and Pole/Zero Cancellation | PS12 Due |
| | Test Review |
| L24 | Conclusions | Take-home Final Exam
(Exam must be submitted in 24 hours) |