Here is the exercise [pdf]. You may also use the following mfile [m].
Here is the exercise [pdf].
Total credit (points)  Grade 

>= 25  3 
>= 35  4 
>= 45  5 
A solution sketch for the exam on Tuesday May 23 can be found here [pdf].
Type  Day  Date  Time  Hall  Instr  Topic 

L1.  Wed  15/3  810  E34  UJ  Introduction

L2.  Fri  17/3  810  E34  UJ  Linear systems

L3.  Mon  20/3  810  E34  UJ  Linear systems

E1.  Tue  21/3  1012  M22  RN  Linear systems

L4.  Wed  22/3  1012  D41  UJ  Reachability

L5.  Thu  23/3  1012  D31  UJ  Reachability cont'd

L6.  Mon  27/3  1517  D32  UJ  Observability/Stability

L7.  Wed  29/3  1315  D35  UJ  Realization theory and canonical forms

E2.  Fri  31/3  810  E53  RN  Reachability and observability

L8.  Mon  3/4  1517  E34  UJ  Realization theory cont'd

L9.  Wed  5/4  1315  E33  UJ  Kalman decomposition and minimal realizations

E3.  Fri  7/4  1517  E33  RN  Stability and realization theory

L10.  Wed  19/4  1315  E53  UJ  Realization theory and state feedback

E4.  Thu  20/4  1517  D33  RN  Realization theory

L11.  Fri  21/4  810  D41  UJ  Observers and observer based control.

E5.  Mon  24/4  1315  E34  RN  Pole assignment and observers

L12.  Wed  26/4  810  E34  UJ  Linear quadratic control

L13.  Fri  28/4  1517  E34  UJ  The Riccati equation 
L14.  Tue  2/5  1517  E34  UJ  The algebraic Riccati equation

E6.  Wed  3/5  1315  E36  UJ  Linear quadratic control 
L15.  Thu  4/5  1517  E33  XH  Least squares estimation 
L16.  Mon  8/5  1517  E34  XH  Kalman filtering and the separation theorem 
L17 .  Tue  9/5  1517  E34  XH  Kalman filtering 