Stability and Stabilizability

• (*A,B*) is
stabilizable.

• *A+BF* is stable
for some *F*.

• The matrix [*A-**l**I, B*] has full row rank for all *Re**l** *³* 0*.

• For all *l* and *x* such that *x*****A**=x*****l** *and* Re**l** *³*0, x*****B**¹**0.*