Serial interconnections of 1-contracting and 2-contracting systems
2021 60th IEEE Conference on Decision and Control (CDC) December 13-15, 2021. Austin, Texas
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
IEEE
2024
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| Online Access: | https://hdl.handle.net/1721.1/154991 |
| _version_ | 1824458100810186752 |
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| author | Ofir, Ron Margaliot, Michael Levron, Yoash Slotine, Jean-Jacques |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Ofir, Ron Margaliot, Michael Levron, Yoash Slotine, Jean-Jacques |
| author_sort | Ofir, Ron |
| collection | MIT |
| description | 2021 60th IEEE Conference on Decision and Control (CDC) December 13-15, 2021. Austin, Texas |
| first_indexed | 2024-09-23T11:44:06Z |
| format | Article |
| id | mit-1721.1/154991 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2025-02-19T04:20:32Z |
| publishDate | 2024 |
| publisher | IEEE |
| record_format | dspace |
| spelling | mit-1721.1/1549912025-01-04T05:48:02Z Serial interconnections of 1-contracting and 2-contracting systems Ofir, Ron Margaliot, Michael Levron, Yoash Slotine, Jean-Jacques Massachusetts Institute of Technology. Department of Mechanical Engineering Massachusetts Institute of Technology. Department of Brain and Cognitive Sciences 2021 60th IEEE Conference on Decision and Control (CDC) December 13-15, 2021. Austin, Texas The flow of contracting systems contracts 1dimensional polygons (i.e. lines) at an exponential rate. One reason for the usefulness of contracting systems is that many interconnections of contracting sub-systems yield an overall contracting system. A recent generalization of contracting systems is called k-contracting systems, where k ∈{1,...,n}. The flow of such systems contracts k-dimensional polygons at an exponential rate, and in particular they reduce to contracting systems when k = 1. Here, we analyze serial interconnections of 1-contracting and 2-contracting systems. We provide conditions guaranteeing that such interconnections have a well-ordered asymptotic behaviour, and demonstrate the theoretical results using several examples. 2024-05-16T21:10:57Z 2024-05-16T21:10:57Z 2021-12-14 2024-05-16T21:03:54Z Article http://purl.org/eprint/type/ConferencePaper https://hdl.handle.net/1721.1/154991 R. Ofir, M. Margaliot, Y. Levron and J. -J. Slotine, "Serial interconnections of 1-contracting and 2-contracting systems," 2021 60th IEEE Conference on Decision and Control (CDC), Austin, TX, USA, 2021, pp. 3906-3911. en 10.1109/cdc45484.2021.9682810 Creative Commons Attribution-Noncommercial-ShareAlike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf IEEE arxiv |
| spellingShingle | Ofir, Ron Margaliot, Michael Levron, Yoash Slotine, Jean-Jacques Serial interconnections of 1-contracting and 2-contracting systems |
| title | Serial interconnections of 1-contracting and 2-contracting systems |
| title_full | Serial interconnections of 1-contracting and 2-contracting systems |
| title_fullStr | Serial interconnections of 1-contracting and 2-contracting systems |
| title_full_unstemmed | Serial interconnections of 1-contracting and 2-contracting systems |
| title_short | Serial interconnections of 1-contracting and 2-contracting systems |
| title_sort | serial interconnections of 1 contracting and 2 contracting systems |
| url | https://hdl.handle.net/1721.1/154991 |
| work_keys_str_mv | AT ofirron serialinterconnectionsof1contractingand2contractingsystems AT margaliotmichael serialinterconnectionsof1contractingand2contractingsystems AT levronyoash serialinterconnectionsof1contractingand2contractingsystems AT slotinejeanjacques serialinterconnectionsof1contractingand2contractingsystems |