Observability: PBH test
PBH test:
•
The matrix
has full column rank for all
l
in
C.
•
Let
l
and
y
be any eigenvalue and any corresponding
right eigenvector of
A
, i.e.,
Ay=
l
y
, then
Cy
¹
0.
Duality:
•
(C, A)
is observable if and only if (
A
*
,C
*
) is controllable.