Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.07081 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914458085883904 |
|---|---|
| author | Gatke, Christian Schiller, Julian D. Müller, Matthias A. |
| author_facet | Gatke, Christian Schiller, Julian D. Müller, Matthias A. |
| contents | We provide a detectability analysis for nonlinear large-scale distributed systems in the sense of exponential incremental input/output-to-state stability (i-IOSS). In particular, we prove that the overall system is exponentially i-IOSS if each subsystem is i-IOSS, with interconnections treated as external inputs, and a suitable small-gain condition holds. The analysis is extended to a Lyapunov characterization, resulting in a different quantitative outcome regarding the small-gain condition, which is further analyzed within this work. Moreover, we derive linear matrix inequality conditions posed solely on the local subsystems and their interconnections, which guarantee exponential i-IOSS of the overall distributed system. The results are illustrated on a numerical example. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_07081 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Small-gain analysis of exponential incremental input/output-to-state stability for large-scale distributed systems Gatke, Christian Schiller, Julian D. Müller, Matthias A. Systems and Control We provide a detectability analysis for nonlinear large-scale distributed systems in the sense of exponential incremental input/output-to-state stability (i-IOSS). In particular, we prove that the overall system is exponentially i-IOSS if each subsystem is i-IOSS, with interconnections treated as external inputs, and a suitable small-gain condition holds. The analysis is extended to a Lyapunov characterization, resulting in a different quantitative outcome regarding the small-gain condition, which is further analyzed within this work. Moreover, we derive linear matrix inequality conditions posed solely on the local subsystems and their interconnections, which guarantee exponential i-IOSS of the overall distributed system. The results are illustrated on a numerical example. |
| title | Small-gain analysis of exponential incremental input/output-to-state stability for large-scale distributed systems |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2604.07081 |