Finite-time behavior of switching networks
© 2017 IEEE. This paper addresses the analysis of networked systems with switching topologies modeled by Positive Markov Jump Linear Systems, focusing on finite-time stability criteria. Main results are sufficient conditions to assess finite-time stability, and establish probabilistic bounds on stat...
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| Format: | Article |
| Language: | English |
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Institute of Electrical and Electronics Engineers (IEEE)
2021
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| Online Access: | https://hdl.handle.net/1721.1/137970.2 |
| _version_ | 1826214448856039424 |
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| author | Cavalcanti, J. Balakrishnan, H. |
| author2 | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics |
| author_facet | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics Cavalcanti, J. Balakrishnan, H. |
| author_sort | Cavalcanti, J. |
| collection | MIT |
| description | © 2017 IEEE. This paper addresses the analysis of networked systems with switching topologies modeled by Positive Markov Jump Linear Systems, focusing on finite-time stability criteria. Main results are sufficient conditions to assess finite-time stability, and establish probabilistic bounds on state amplification. In addition, connections between notions of asymptotic and finite-time stability are explored. Numerical examples illustrate how the proposed criteria can help to gain insight on air traffic delay propagation, one of many real world networked systems that are amenable to the analysis herein. |
| first_indexed | 2024-09-23T16:05:12Z |
| format | Article |
| id | mit-1721.1/137970.2 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T16:05:12Z |
| publishDate | 2021 |
| publisher | Institute of Electrical and Electronics Engineers (IEEE) |
| record_format | dspace |
| spelling | mit-1721.1/137970.22021-11-09T20:30:58Z Finite-time behavior of switching networks Cavalcanti, J. Balakrishnan, H. Massachusetts Institute of Technology. Department of Aeronautics and Astronautics © 2017 IEEE. This paper addresses the analysis of networked systems with switching topologies modeled by Positive Markov Jump Linear Systems, focusing on finite-time stability criteria. Main results are sufficient conditions to assess finite-time stability, and establish probabilistic bounds on state amplification. In addition, connections between notions of asymptotic and finite-time stability are explored. Numerical examples illustrate how the proposed criteria can help to gain insight on air traffic delay propagation, one of many real world networked systems that are amenable to the analysis herein. 2021-11-09T20:30:58Z 2021-11-09T16:38:03Z 2021-11-09T20:30:58Z 2017-12 2019-10-23T18:13:23Z Article http://purl.org/eprint/type/ConferencePaper https://hdl.handle.net/1721.1/137970.2 Cavalcanti, J. and Balakrishnan, H. 2017. "Finite-time behavior of switching networks." en http://dx.doi.org/10.1109/CDC.2017.8264639 Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/octet-stream Institute of Electrical and Electronics Engineers (IEEE) MIT web domain |
| spellingShingle | Cavalcanti, J. Balakrishnan, H. Finite-time behavior of switching networks |
| title | Finite-time behavior of switching networks |
| title_full | Finite-time behavior of switching networks |
| title_fullStr | Finite-time behavior of switching networks |
| title_full_unstemmed | Finite-time behavior of switching networks |
| title_short | Finite-time behavior of switching networks |
| title_sort | finite time behavior of switching networks |
| url | https://hdl.handle.net/1721.1/137970.2 |
| work_keys_str_mv | AT cavalcantij finitetimebehaviorofswitchingnetworks AT balakrishnanh finitetimebehaviorofswitchingnetworks |