Alternative Characterizations

• Let *G(s*) have full column normal rank. Then *z**0*Î **C** is a transmission zero if and only if there exists a vector 0¹*u**0* such
that *G*(*z**0*)*u**0*=0.

not true if *G(s)* does not have full column normal rank:

For example,

Then *G*(1) *u**0* = 0. Therefore, 1 is a transmission zero.