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Lecture Notes



Lecture Notes

 

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

SES #TOPICSNOTES
L1Introduction to Dynamic Systems and Control
Matrix Algebra
Ch. 1 (PDF)
L2Least Square Error Solution of Overdetermined SystemsCh. 2 (PDF)
L3Least Norm Solution of Underdetermined SystemsCh. 2 (PDF)
Ch. 3 (PDF)
L4Matrix Norms
Singular Value Decomposition
Ch. 4 (PDF)
L5Matrix Perturbation ProblemsCh. 5 (PDF)
L6Dynamic SystemsCh. 6 (PDF)
L7State-space Models
Linearity and Time Invariance
Ch. 7 (PDF)
Ch. 8 (PDF)
L8Solutions of State-space ModelsCh. 10 (PDF)
Ch. 11 (PDF)
L9Similarity Transformations
Modes of LTI Systems
Laplace Transform
Transfer Functions
Ch. 12 (PDF)
L10Stability
Lyapunov Functions
Ch. 13 (PDF)
L11Lyapunov’s Equation for LTI SystemsCh. 14 (PDF)
L12External I/O StabilityCh. 15 (PDF)
L13Interconnected Systems
Feedback
I/O Stability
Ch. 15 (PDF)
Ch. 17 (PDF)
L14System NormsCh. 16 (PDF)
L15Perfomance Measures in Feedback ControlCh. 18 (PDF)
L16Small Gain Theorem
Stability Robustness
Ch. 19 (PDF)
L17Stability Robustness (MIMO)Ch. 20 (PDF)
Ch. 21 (PDF)
L18Reachability — Basic IdeasCh. 22 (PDF)
L19Reachability — Standard and Canonical Forms, Modal Tests, etc.Ch. 23 (PDF)
L20ObservabilityCh. 24 (PDF)
L21Minimality
Realization
Kalman Decomposition
Ch. 25 (PDF)
L22State Feedback
Observers
Output Feedback
Multivariable Poles
Zeros
Ch. 26 (PDF)
Ch. 27 (PDF)
Ch. 28 (PDF)
Ch. 29 (PDF)
L23Minimality of Interconnections and Pole/Zero CancellationCh. 30 (PDF)
L24Conclusions

 


 








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