Hermitian pencils and output feedback stabilization of scalar systems

Abstract

Necessary and sufficient semi-algebraic conditions for (a) the stabilization of scalar transfer functions, and (b) the assignability of real poles by static output feedback, are given in terms of the Weierstrass invariants of an associated hermitian matrix pencil. An explicit graphical test for output feedback stabilizability is derived which is equivalent to the Nyquist criterion. Show more