Input-to-state stability of infinite-dimensional systems: Foundations and present-day developments
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910470714163200 |
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| author | Mironchenko, Andrii Prieur, Christophe |
| author_facet | Mironchenko, Andrii Prieur, Christophe |
| contents | Input-to-state stability (ISS) unifies the stability and robustness in one notion, and serves as a basis for broad areas of nonlinear control theory. In this contribution, we covered the most fundamental facts in the infinite-dimensional ISS theory with a stress on Lyapunov methods. We consider various applications given by different classes of infinite-dimensional systems. Finally, we discuss a Lyapunov-based small-gain theorem for stability analysis of an interconnection of two ISS systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_02071 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Input-to-state stability of infinite-dimensional systems: Foundations and present-day developments Mironchenko, Andrii Prieur, Christophe Systems and Control Input-to-state stability (ISS) unifies the stability and robustness in one notion, and serves as a basis for broad areas of nonlinear control theory. In this contribution, we covered the most fundamental facts in the infinite-dimensional ISS theory with a stress on Lyapunov methods. We consider various applications given by different classes of infinite-dimensional systems. Finally, we discuss a Lyapunov-based small-gain theorem for stability analysis of an interconnection of two ISS systems. |
| title | Input-to-state stability of infinite-dimensional systems: Foundations and present-day developments |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2406.02071 |