External Description for Multivariable Systems Sampled in an Aperiodic Way

TL;DR

This paper introduces a straightforward external description method for nonperiodically sampled multivariable linear systems, incorporating sampling period sequences, aimed at facilitating control and identification tasks.

Contribution

It presents a novel, simple computational approach for external description of aperiodically sampled systems without relying on polynomial matrix theory.

Findings

Provides a basic formulation for nonperiodic sampling systems

Simplifies the computational process for external descriptions

Lays groundwork for future control and identification applications

Abstract

An external description for nonperiodically sampled multivariable 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.