Department of Electrical and Computer Engineering
University of Maryland, College Park
Fall 2014
ENEE 460
Homework Set 3
A.L. Tits
1. Exercise 3.4 from the text.
2. Exercise 3.10 from the text.
3. Reproduce the simulation of Figure 3.4.
4. Consider the sy

Department of Electrical and Computer Engineering
University of Maryland, College Park
Fall 2014
ENEE 460
Homework Set 5
A.L. Tits
1. Exercise 4.4.
2. (a) Exhibit two square matrices A and B such that exp(A + B) =
exp(A) exp(B). [There are examples with 2

Department of Electrical and Computer Engineering
University of Maryland, College Park
Fall 2014
ENEE 460
Homework Set 4
A.L. Tits
1. Consider the LTI autonomous model x = Ax, A an n n matrix. Let
xe be an equilibrium point. (To make the problem nontrivia

Department of Electrical and Computer Engineering
University of Maryland, College Park
Fall 2014
ENEE 460
Homework Set 1
A.L. Tits
1. Exercise 1.3 in the text.
2. Exercise 1.5 in the text.
3. Cruise control exercise in the Additional Exercises (under Teac

Department of Electrical and Computer Engineering
University of Maryland, College Park
Fall 2014
ENEE 460
Homework Set 2
A.L. Tits
1. Exercise 2.8 from the text. You should choose the parameters of your
simulation to match those in Example 2.10: max = 1,

Department of Electrical and Computer Engineering
University of Maryland, College Park
Fall 2014
ENEE 460
Homework Set 6
A.L. Tits
1. Consider the system
x=
0 1
1 0
x+
0
1
u,
y=
1 0
x.
Check that, as an autonomous system when u = 0, this system is
stable

Department of Electrical and Computer Engineering
University of Maryland, College Park
Fall 2014
ENEE 460
Homework Set 7
A.L. Tits
1. [Variation on Exercise 6.1] Consider the double integrator (Example 6.1).
(a) Let R be given. Find a constant control inp

Department of Electrical and Computer Engineering
University of Maryland, College Park
Fall 2014
ENEE 460
Homework Set 8 Solution
A.L. Tits & U. Halder
1. Solution. The closed-loop system is described by
dx
= Ax + Bu, y = Cx + Du, u = Kx + kr r
dt
Replaci