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 
Statespace Models
Linearity and Time Invariance 

L8 
Solutions of Statespace 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 MidTerm 
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 
Takehome Final Exam
(Exam must be submitted in 24 hours) 