Sensitivity to Cumulative Perturbations for a Class of Piecewise Constant Hybrid Systems
We consider a class of continuous-Time hybrid dynamical systems that correspond to subgradient flows of a piecewise linear and convex potential function with finitely many pieces, and which includes the fluid-level dynamics of the Max-Weight scheduling policy as a special case. We study the effect o...
| Main Authors: | , |
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| Other Authors: | |
| 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/1721.1/130371 |
| _version_ | 1811074293536129024 |
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| author | Sharifnassab, Arsalan Golestani, S. Jamaloddin |
| author2 | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science |
| author_facet | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Sharifnassab, Arsalan Golestani, S. Jamaloddin |
| author_sort | Sharifnassab, Arsalan |
| collection | MIT |
| description | We consider a class of continuous-Time hybrid dynamical systems that correspond to subgradient flows of a piecewise linear and convex potential function with finitely many pieces, and which includes the fluid-level dynamics of the Max-Weight scheduling policy as a special case. We study the effect of an external disturbance/perturbation on the state trajectory, and establish that the magnitude of this effect can be bounded by a constant multiple of the integral of the perturbation. |
| first_indexed | 2024-09-23T09:46:46Z |
| format | Article |
| id | mit-1721.1/130371 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T09:46:46Z |
| publishDate | 2021 |
| publisher | Institute of Electrical and Electronics Engineers (IEEE) |
| record_format | dspace |
| spelling | mit-1721.1/1303712022-09-26T13:41:21Z Sensitivity to Cumulative Perturbations for a Class of Piecewise Constant Hybrid Systems Sharifnassab, Arsalan Golestani, S. Jamaloddin Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science We consider a class of continuous-Time hybrid dynamical systems that correspond to subgradient flows of a piecewise linear and convex potential function with finitely many pieces, and which includes the fluid-level dynamics of the Max-Weight scheduling policy as a special case. We study the effect of an external disturbance/perturbation on the state trajectory, and establish that the magnitude of this effect can be bounded by a constant multiple of the integral of the perturbation. 2021-04-05T18:36:01Z 2021-04-05T18:36:01Z 2019-06 2018-12 2021-04-05T13:47:59Z Article http://purl.org/eprint/type/JournalArticle 0018-9286 1558-2523 https://hdl.handle.net/1721.1/130371 Sharifnassab, Arsalan et al. “Sensitivity to Cumulative Perturbations for a Class of Piecewise Constant Hybrid Systems.” IEEE Transactions on Automatic Control, 66, 3 (June 2019): 1057 - 1072 © 2019 The Author(s) en 10.1109/TAC.2019.2922495 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) MIT web domain |
| spellingShingle | Sharifnassab, Arsalan Golestani, S. Jamaloddin Sensitivity to Cumulative Perturbations for a Class of Piecewise Constant Hybrid Systems |
| title | Sensitivity to Cumulative Perturbations for a Class of Piecewise Constant Hybrid Systems |
| title_full | Sensitivity to Cumulative Perturbations for a Class of Piecewise Constant Hybrid Systems |
| title_fullStr | Sensitivity to Cumulative Perturbations for a Class of Piecewise Constant Hybrid Systems |
| title_full_unstemmed | Sensitivity to Cumulative Perturbations for a Class of Piecewise Constant Hybrid Systems |
| title_short | Sensitivity to Cumulative Perturbations for a Class of Piecewise Constant Hybrid Systems |
| title_sort | sensitivity to cumulative perturbations for a class of piecewise constant hybrid systems |
| url | https://hdl.handle.net/1721.1/130371 |
| work_keys_str_mv | AT sharifnassabarsalan sensitivitytocumulativeperturbationsforaclassofpiecewiseconstanthybridsystems AT golestanisjamaloddin sensitivitytocumulativeperturbationsforaclassofpiecewiseconstanthybridsystems |