Abstract
This paper investigate the properties of the impedance matching controller for the uniformly varying damped mass-spring systems and the resultant closed loop systems by invoking the properties of the algebraic function. The analyticity and the positive real property of the impedance matching controller are first investigated. Next, the internal stability of the feedback interconnection of the uniformly varying damped mass-spring system and the impedance matching controller is studied. Finally, the ladder structure of the closed loop system and the impedance matching controller is investigated.
