Calendar
The calendar below provides information on the course's lectures (L) and recitation (R) sessions.
| SES # | TOPICS | KEY DATES |
|---|---|---|
| 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 | |
| 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) |
