Sample-based nonlinear detectability for discrete-time systems
Systems and Control
2025-06-06 v3 Systems and Control
Abstract
This paper introduces two sample-based formulations of incremental input/output-to-state stability (i-IOSS), a suitable detectability notion for general nonlinear systems. In this work we consider the case of limited output information, i.e., measurements are only infrequently and/or irregularly available. The output-dependent term of the sample-based i-IOSS bound is properly modified to yield a characterization for detectability in presence of incomplete output sequences. We provide both a non-timediscounted and a time-discounted formulation of samplebased i-IOSS. Furthermore, conditions for an i-IOSS system to be also sample-based i-IOSS are given and the relation between the two formulations of sample-based i-IOSS is shown.
Cite
@article{arxiv.2312.13658,
title = {Sample-based nonlinear detectability for discrete-time systems},
author = {Isabelle Krauss and Victor G. Lopez and Matthias A. Müller},
journal= {arXiv preprint arXiv:2312.13658},
year = {2025}
}