Input classes for identifiability of bilinear systems
This paper asks what classes of input signals are sufficient in order to completely identify the input/output behavior of generic bilinear systems. The main results are that step inputs are not sufficient, nor are single pulses, but the family of all pulses (of a fixed amplitude but varying widths)...
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| Format: | Article |
| Language: | en_US |
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Institute of Electrical and Electronics Engineers
2011
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| Online Access: | http://hdl.handle.net/1721.1/61664 https://orcid.org/0000-0001-8020-5783 https://orcid.org/0000-0001-9088-0205 |
| _version_ | 1826215549988765696 |
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| author | Sontag, Eduardo D. Wang, Yuan Megretski, Alexandre |
| 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 Sontag, Eduardo D. Wang, Yuan Megretski, Alexandre |
| author_sort | Sontag, Eduardo D. |
| collection | MIT |
| description | This paper asks what classes of input signals are sufficient in order to completely identify the input/output behavior of generic bilinear systems. The main results are that step inputs are not sufficient, nor are single pulses, but the family of all pulses (of a fixed amplitude but varying widths) do suffice for identification. |
| first_indexed | 2024-09-23T16:34:40Z |
| format | Article |
| id | mit-1721.1/61664 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T16:34:40Z |
| publishDate | 2011 |
| publisher | Institute of Electrical and Electronics Engineers |
| record_format | dspace |
| spelling | mit-1721.1/616642022-09-29T20:10:21Z Input classes for identifiability of bilinear systems Sontag, Eduardo D. Wang, Yuan Megretski, Alexandre Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Massachusetts Institute of Technology. Laboratory for Information and Decision Systems Megretski, Alexandre Megretski, Alexandre Sontag, Eduardo D. This paper asks what classes of input signals are sufficient in order to completely identify the input/output behavior of generic bilinear systems. The main results are that step inputs are not sufficient, nor are single pulses, but the family of all pulses (of a fixed amplitude but varying widths) do suffice for identification. National Science Foundation (U.S.) (DMS-0504557) National Science Foundation (U.S.) (DMS-0614371) National Science Foundation (U.S.) (DMS-0614371) National Natural Science Foundation of China (Grant No. 60228003) 2011-03-11T15:10:11Z 2011-03-11T15:10:11Z 2009-02 2007-10 Article http://purl.org/eprint/type/ConferencePaper 0018-9286 INSPEC Accession Number: 10473416 http://hdl.handle.net/1721.1/61664 Sontag, E.D., Yuan Wang, and A. Megretski. “Input Classes for Identifiability of Bilinear Systems.” Automatic Control, IEEE Transactions on 54.2 (2009): 195-207. © 2009 IEEE. https://orcid.org/0000-0001-8020-5783 https://orcid.org/0000-0001-9088-0205 en_US http://dx.doi.org/10.1109/TAC.2008.2006927 IEEE Transactions on Automatic Control Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf Institute of Electrical and Electronics Engineers IEEE |
| spellingShingle | Sontag, Eduardo D. Wang, Yuan Megretski, Alexandre Input classes for identifiability of bilinear systems |
| title | Input classes for identifiability of bilinear systems |
| title_full | Input classes for identifiability of bilinear systems |
| title_fullStr | Input classes for identifiability of bilinear systems |
| title_full_unstemmed | Input classes for identifiability of bilinear systems |
| title_short | Input classes for identifiability of bilinear systems |
| title_sort | input classes for identifiability of bilinear systems |
| url | http://hdl.handle.net/1721.1/61664 https://orcid.org/0000-0001-8020-5783 https://orcid.org/0000-0001-9088-0205 |
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