An External Description for MIMO Systems Sampled in an Aperiodic Way

TL;DR

This paper introduces a straightforward external description method for aperiodically sampled MIMO linear systems, focusing on the sampling period sequence, facilitating future control and identification applications.

Contribution

It provides a novel, simple computational approach for describing aperiodic MIMO systems without polynomial matrix theory, aiding control and system identification.

Findings

Developed an external description for aperiodic MIMO systems

The method is computationally simple and polynomial-free

Lays groundwork for optimal control and system identification

Abstract

An external description for aperiodically sampled MIMO linear systems has been developed. Emphasis is on the sampling period sequence, included among the variables to be handled. The computational procedure is simple and no use of polynomial matrix theory is required. This input/output description is believed to be a basic formulation for its later application to the problem of optimal control and/or identification of linear dynamical systems.