Qualitative Stability of Nonlinear Networked Systems
© 2017 IEEE. In many large systems, such as those encountered in biology or economics, the dynamics are nonlinear and are only known very coarsely. It is often the case, however, that the signs (excitation or inhibition) of individual interactions are known. This technical note extends to nonlinear...
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| Format: | Article |
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Institute of Electrical and Electronics Engineers (IEEE)
2021
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| Online Access: | https://hdl.handle.net/1721.1/135750 |
| _version_ | 1826214626073772032 |
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| author | Angulo, Marco Tulio Slotine, Jean-Jacques |
| author2 | Massachusetts Institute of Technology. Nonlinear Systems Laboratory |
| author_facet | Massachusetts Institute of Technology. Nonlinear Systems Laboratory Angulo, Marco Tulio Slotine, Jean-Jacques |
| author_sort | Angulo, Marco Tulio |
| collection | MIT |
| description | © 2017 IEEE. In many large systems, such as those encountered in biology or economics, the dynamics are nonlinear and are only known very coarsely. It is often the case, however, that the signs (excitation or inhibition) of individual interactions are known. This technical note extends to nonlinear systems the classical criteria of linear sign stability introduced in the 70's, yielding simple sufficient conditions to determine stability using only the sign patterns of the interactions. |
| first_indexed | 2024-09-23T16:08:28Z |
| format | Article |
| id | mit-1721.1/135750 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T16:08:28Z |
| publishDate | 2021 |
| publisher | Institute of Electrical and Electronics Engineers (IEEE) |
| record_format | dspace |
| spelling | mit-1721.1/1357502023-01-10T19:50:21Z Qualitative Stability of Nonlinear Networked Systems Angulo, Marco Tulio Slotine, Jean-Jacques Massachusetts Institute of Technology. Nonlinear Systems Laboratory Massachusetts Institute of Technology. Department of Mechanical Engineering Massachusetts Institute of Technology. Department of Brain and Cognitive Sciences © 2017 IEEE. In many large systems, such as those encountered in biology or economics, the dynamics are nonlinear and are only known very coarsely. It is often the case, however, that the signs (excitation or inhibition) of individual interactions are known. This technical note extends to nonlinear systems the classical criteria of linear sign stability introduced in the 70's, yielding simple sufficient conditions to determine stability using only the sign patterns of the interactions. 2021-10-27T20:29:07Z 2021-10-27T20:29:07Z 2017 2019-01-03T14:43:38Z Article http://purl.org/eprint/type/JournalArticle 0018-9286 1558-2523 https://hdl.handle.net/1721.1/135750 Angulo, Marco Tulio, and Jean-Jacques Slotine. “Qualitative Stability of Nonlinear Networked Systems.” IEEE Transactions on Automatic Control 62, no. 8 (August 2017): 4080–4085. doi:10.1109/tac.2016.2617780. http://dx.doi.org/10.1109/TAC.2016.2617780 IEEE Transactions on Automatic Control Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Institute of Electrical and Electronics Engineers (IEEE) arXiv |
| spellingShingle | Angulo, Marco Tulio Slotine, Jean-Jacques Qualitative Stability of Nonlinear Networked Systems |
| title | Qualitative Stability of Nonlinear Networked Systems |
| title_full | Qualitative Stability of Nonlinear Networked Systems |
| title_fullStr | Qualitative Stability of Nonlinear Networked Systems |
| title_full_unstemmed | Qualitative Stability of Nonlinear Networked Systems |
| title_short | Qualitative Stability of Nonlinear Networked Systems |
| title_sort | qualitative stability of nonlinear networked systems |
| url | https://hdl.handle.net/1721.1/135750 |
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