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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2312.13658 |
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| _version_ | 1866910987683102720 |
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| author | Krauss, Isabelle Lopez, Victor G. Müller, Matthias A. |
| author_facet | Krauss, Isabelle Lopez, Victor G. Müller, Matthias A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_13658 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Sample-based nonlinear detectability for discrete-time systems Krauss, Isabelle Lopez, Victor G. Müller, Matthias A. Systems and Control 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. |
| title | Sample-based nonlinear detectability for discrete-time systems |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2312.13658 |