A Joint Criterion for Reachability and Observability of Nonuniformly Sampled Discrete Systems
Amparo F\'uster-Sabater
TL;DR
This paper introduces a unified criterion for assessing reachability and observability in nonuniformly sampled discrete systems, extending existing uniform sampling results to more general sampling sequences.
Contribution
It provides the first joint characterization of reachability and observability for nonuniform sampling in linear SISO discrete systems, generalizing classical uniform sampling criteria.
Findings
Unified criterion for nonuniform sampling systems
Extension of uniform sampling results to nonuniform cases
Enhanced analysis tools for discrete system control
Abstract
A joint characterization of reachability (controllability) and observability (constructibility) for linear SISO nonuniformly sampled discrete systems is presented. The work generalizes to the nonuniform sampling the criterion known for the uniform sampling. Emphasis is on the nonuniform sampling sequence, which is believed to be an additional element for analysis and handling of discrete systems.
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