A METHOD FOR ROBUST STABILIZATION RELATED TO THE POPOV STABILITY-CRITERION

It is well known that the Popov stability criterion is equivalent to t he existence of a Lyapunov function of the Lur'e-Postnikov form. In th is paper, this idea is extended to the problem of output feedback robu st stabilization. The paper defines a notion of 'absolute stabilizatio n with a Lyapunov function of the Lur'e-Postnikov form'. The main resu lt is a necessary and sufficient condition for this property. This con dition is given in terms of the existence of suitable solutions to a p air of algebraic Riccati equations.