Rational Interpolation With Dissipativity Constraints

Abstract

The paper presents a computational oriented overview on the rational
interpolation problem with passive (positive real) constraints. The numerical difficulties
associated with the standard rational interpolation procedures are discussed. Some
numerical tricks to improve the numerical accuracy of the computed results are
proposed. Possible applications to model order reduction for continuous (and, by using
a simple bilinear transformation, of discrete) linear systems are sketched.