Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.00282 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909308498739200 |
|---|---|
| author | Eijnden, Sebastiaan van den Chaffey, Thomas |
| author_facet | Eijnden, Sebastiaan van den Chaffey, Thomas |
| contents | Systems that show different characteristics, such as finite-gain and passivity, depending on the nature of the inputs, are said to possess mixed input-output properties. In this paper, we provide a constructive method for characterizing mixed input-output properties of nonlinear systems using a dissipativity framework. Our results take inspiration from the generalized Kalman-Yakubovich-Popov lemma, and show that a system is mixed if it is dissipative with respect to highly specialized supply rates. The mixed input-output characterization is used for assessing stability of feedback interconnections in which the feedback components violate conditions of classical results such as the small-gain and passivity theorem. We showcase applicability of our results through various examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_00282 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Characterizing nonlinear systems with mixed input-output properties through dissipation inequalities Eijnden, Sebastiaan van den Chaffey, Thomas Systems and Control 47N70 Systems that show different characteristics, such as finite-gain and passivity, depending on the nature of the inputs, are said to possess mixed input-output properties. In this paper, we provide a constructive method for characterizing mixed input-output properties of nonlinear systems using a dissipativity framework. Our results take inspiration from the generalized Kalman-Yakubovich-Popov lemma, and show that a system is mixed if it is dissipative with respect to highly specialized supply rates. The mixed input-output characterization is used for assessing stability of feedback interconnections in which the feedback components violate conditions of classical results such as the small-gain and passivity theorem. We showcase applicability of our results through various examples. |
| title | Characterizing nonlinear systems with mixed input-output properties through dissipation inequalities |
| topic | Systems and Control 47N70 |
| url | https://arxiv.org/abs/2409.00282 |