On the Optimality for Cascade Connection of Passive Scattering Systems and the Best Minorant Outer Function

Abstract

In this paper we study passive scattering systems in the framework introduced by Arov. The main purpose is to find conditions for conserving the optimality of a cascade connection of passive scattering systems in terms of the best minorant outer function and to characterize optimal passive scattering systems which have the same transfer function.