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arXiv · 2312.13658

Sample-based nonlinear detectability for discrete-time systems

Isabelle Krauss·Victor G. Lopez·Matthias A. Müller
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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.

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BibTeXRIS

Isabelle Krauss, Victor G. Lopez, Matthias A. Müller. 2023-12-21. Sample-based nonlinear detectability for discrete-time systems. https://doi.org/10.1109/tac.2024.3485486

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