Zeros of Discrete-Time Models for Multivariable Continuous-Time Systems with Pure Imaginary Zeros

Extension of the Case of Relative Degree One to Multivariable Systems

Abstract

This paper analyzes the asymptotic properties of zeros of discrete-time systems corresponding to continuoustime multivariable plants with pure imaginary zeros. A condition that ensures the stability of the limiting zeros of the discrete-time systems for sufficiently small sampling periods is derived.