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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.22219 |
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| _version_ | 1866909555961626624 |
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| author | Arkhis, Mohamed Yassine Efimov, Denis |
| author_facet | Arkhis, Mohamed Yassine Efimov, Denis |
| contents | We prove that under a small-gain condition, an interconnection of two globally incrementally exponentially stable systems inherits this property on any compact connected forward invariant set. It is also demonstrated that the interconnection inherits a weaker version of incremental exponential stability globally. An example illustrating the theoretical findings is given. The example also shows that the uniform negativity of the Jacobian is not necessary for incremental exponential stability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_22219 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Small-gain conditions for exponential incremental stability in feedback interconnections Arkhis, Mohamed Yassine Efimov, Denis Systems and Control We prove that under a small-gain condition, an interconnection of two globally incrementally exponentially stable systems inherits this property on any compact connected forward invariant set. It is also demonstrated that the interconnection inherits a weaker version of incremental exponential stability globally. An example illustrating the theoretical findings is given. The example also shows that the uniform negativity of the Jacobian is not necessary for incremental exponential stability. |
| title | Small-gain conditions for exponential incremental stability in feedback interconnections |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2503.22219 |