MAE 281A
Nonlinear Systems
Prof. M. Krstic
Homework 3
Due: February 5, 2002
1. Khalil, Exercise 2.42.
2. Khalil, Exercise 2.46.
3. Using the comparison principle, show that if
and
are functions that satisfy
and if c>0, then
where
denotes the
norm defined as
Using Gronwall's lemma show that
Which of the two bounds is less conservative?
and
are functions that satisfy
denotes the 
norm defined as
