Sample-based Nonlinear Detectability for Discrete-time Systems

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 irregular...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2024-10, p.1-13
Main Authors: Krauss, Isabelle, Lopez, Victor G., Muller, Matthias A.
Format: Article
Language:English
Subjects:
Biomedical measurement
Detectability
Discrete-time systems
Europe
Incremental system properties
Irregular sampling
Nonlinear systems
Observability
Pathology
Stability criteria
State estimation
Sufficient conditions
Trajectory
Vectors
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Summary: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-time-discounted and a time-discounted formulation of sample-based 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.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2024.3485486