LEC #  TOPICS  KEY DATES 

1  Introduction to dynamic systems and control, matrix algebra  
2  Least squares error solutions of overdetermined / underdetermined systems  
3  Matrix norms, SVD, matrix perturbations  Homework 1 due 
4  Matrix perturbations  
5  Statespace models, linearity and time invariance  Homework 2 due 
6  Solutions of statespace models  
7  Similarity transformations, modes of LTI systems, Laplace transform, transfer functions  Homework 3 due 
8  Stability, Lyapunov methods  
9  External I/O stability, storage functions  Homework 4 due 
10  Interconnected systems, feedback, I/O stability  
11  System norms  Homework 5 due 
12  Performance measures in feedback control  
13  Small gain theorem, stability robustness  Midterm exam (takehome) due 2 days after Lecture 13 
14  Stability robustness (MIMO)  Homework 6 due 
15  Reachability  
16  Reachability: standard and canonical forms, modal tests  
17  Observability  Homework 7 due 
18  Minimality, realization, Kalman decomposition, model reduction  
19  State feedback, observers, output feedback, MIMO poles and zeros  Homework 8 due 
20  Minimality of interconnections, pole/zero cancellations  Homework 9 due 
21  Parameterization of all stabilizing controllers  
22  Optimal control synthesis: problem setup  Homework 10 due 
23  H_{2} optimization  
24  H_{∞} optimization  Homework 11 due 
Calendar
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As Taught In:  Spring 2011 
Level: 
Graduate

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