This note gives an alternate proof of Davison\´s theorem [2] on pole placement and further shows that, for a controllable, observable system , the number of poles that can be assigned arbitrarily are equal to max ( ), where Rank and = Rank . In some cases, more than max ( ) poles can be assigned arbitrarily.
Keywords :
Controllability; Linear systems, time-invariant continuous-time; Observability; Pole assignment; Automatic control; Control systems; Eigenvalues and eigenfunctions; Linear systems; MIMO; NASA; Output feedback; Polynomials; Riccati equations; State feedback;