On sample-based functional observability of linear systems
Systems and Control
2025-07-01 v1 Systems and Control
Abstract
Sample-based observability characterizes the ability to reconstruct the internal state of a dynamical system by using limited output information, i.e., when measurements are only infrequently and/or irregularly available. In this work, we investigate the concept of functional observability, which refers to the ability to infer a function of the system state from the outputs, within a samplebased framework. Here, we give necessary and sufficient conditions for a system to be sample-based functionally observable, and formulate conditions on the sampling schemes such that these are satisfied. Furthermore, we provide a numerical example, where we demonstrate the applicability of the obtained results.
Cite
@article{arxiv.2506.23744,
title = {On sample-based functional observability of linear systems},
author = {Isabelle Krauss and Victor G. Lopez and Matthias A. Müller},
journal= {arXiv preprint arXiv:2506.23744},
year = {2025}
}