Example
Let
Then
P
(
s
)
= n
(
s
)
/m
(
s
) with
forms a coprime factorization. To find an
x(s)
and a
y(s)
such that
x(s)n(s) + y(s)m(s)
= 1, consider a stabilizing controller for P:
Then
-K
=
u/v
with
u
=
-K
and
v
= 1 is a coprime factorization and
Then we can take