Performance estimation of switched linear systems via n×(n+2) generalized coordinate transformations
For a continuous‐time switched linear system, the spectral abscissa, that is, the maximum Lyapunov exponent, essentially characterizes the worst‐case asymptotic divergence or convergence rate under arbitrary switching. In this study, based on the n×(n+2)$$ n\times \left(n+2\right) $$...
Gespeichert in:
| Veröffentlicht in: | Asian journal of control 2024-07, Vol.26 (4), p.2037-2046 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 2046 |
|---|---|
| container_issue | 4 |
| container_start_page | 2037 |
| container_title | Asian journal of control |
| container_volume | 26 |
| creator | Lin, Meili Han, Junfeng Xu, Yong |
| description | For a continuous‐time switched linear system, the spectral abscissa, that is, the maximum Lyapunov exponent, essentially characterizes the worst‐case asymptotic divergence or convergence rate under arbitrary switching. In this study, based on the
n×(n+2)$$ n\times \left(n+2\right) $$ generalized coordinate transformation method, a computational algorithm is proposed to get the performance estimation of the switched linear system under arbitrary switching by estimating the spectral abscissa of the system. Simulation examples are presented to illustrate the effectiveness of the proposed scheme, which gives a better estimation of the spectral abscissa than the existing results. |
| doi_str_mv | 10.1002/asjc.3322 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_3083824249</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>3083824249</sourcerecordid><originalsourceid>FETCH-LOGICAL-c1722-16f0eff0071c2393e5a3785b8cc14d2aabf824a10ba1fb55edd72bffdc4ab8e33</originalsourceid><addsrcrecordid>eNp1kMtKAzEYhYMoWKsL3yDgxiLT5jLXZSleKSio65DJ_NGUaVKTqaW-iA_ki5lp3br6z-I75-cchM4pGVNC2ESGhRpzztgBGtCKp0lOKn4YdZbTpMxZdoxOQlgQklNeZgMET-C180tpFWAInVnKzjiLncZhYzr1Dg1ujQXpcdiGDpYBfxqJ7c_3pb1iI_wGFrxszVfklHO-MVZ2gDsvbdjl9mnhFB1p2QY4-7tD9Hpz_TK7S-aPt_ez6TxRtGAsobkmoDUhBVWMVxwyyYsyq0ulaNowKWtdslRSUkuq6yyDpilYrXWjUlmXwPkQXexzV959rGMdsXBrb-NLwUnJo5mlVaRGe0p5F4IHLVY-9vZbQYnoVxT9iqJfMbKTPbsxLWz_B8X0-WG2c_wCe5B3Fw</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>3083824249</pqid></control><display><type>article</type><title>Performance estimation of switched linear systems via n×(n+2) generalized coordinate transformations</title><source>Access via Wiley Online Library</source><creator>Lin, Meili ; Han, Junfeng ; Xu, Yong</creator><creatorcontrib>Lin, Meili ; Han, Junfeng ; Xu, Yong</creatorcontrib><description>For a continuous‐time switched linear system, the spectral abscissa, that is, the maximum Lyapunov exponent, essentially characterizes the worst‐case asymptotic divergence or convergence rate under arbitrary switching. In this study, based on the
n×(n+2)$$ n\times \left(n&amp;#x0002B;2\right) $$ generalized coordinate transformation method, a computational algorithm is proposed to get the performance estimation of the switched linear system under arbitrary switching by estimating the spectral abscissa of the system. Simulation examples are presented to illustrate the effectiveness of the proposed scheme, which gives a better estimation of the spectral abscissa than the existing results.</description><identifier>ISSN: 1561-8625</identifier><identifier>EISSN: 1934-6093</identifier><identifier>DOI: 10.1002/asjc.3322</identifier><language>eng</language><publisher>Hoboken: Wiley Subscription Services, Inc</publisher><subject>Algorithms ; Asymptotic methods ; Coordinate transformations ; Divergence ; Estimation ; generalized coordinate transformation ; Liapunov exponents ; Linear systems ; matrix set measure ; spectral abscissa ; switched linear system ; Switching</subject><ispartof>Asian journal of control, 2024-07, Vol.26 (4), p.2037-2046</ispartof><rights>2024 Chinese Automatic Control Society and John Wiley & Sons Australia, Ltd</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c1722-16f0eff0071c2393e5a3785b8cc14d2aabf824a10ba1fb55edd72bffdc4ab8e33</cites><orcidid>0000-0003-0754-7829</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fasjc.3322$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fasjc.3322$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,780,784,1417,27924,27925,45574,45575</link.rule.ids></links><search><creatorcontrib>Lin, Meili</creatorcontrib><creatorcontrib>Han, Junfeng</creatorcontrib><creatorcontrib>Xu, Yong</creatorcontrib><title>Performance estimation of switched linear systems via n×(n+2) generalized coordinate transformations</title><title>Asian journal of control</title><description>For a continuous‐time switched linear system, the spectral abscissa, that is, the maximum Lyapunov exponent, essentially characterizes the worst‐case asymptotic divergence or convergence rate under arbitrary switching. In this study, based on the
n×(n+2)$$ n\times \left(n&amp;#x0002B;2\right) $$ generalized coordinate transformation method, a computational algorithm is proposed to get the performance estimation of the switched linear system under arbitrary switching by estimating the spectral abscissa of the system. Simulation examples are presented to illustrate the effectiveness of the proposed scheme, which gives a better estimation of the spectral abscissa than the existing results.</description><subject>Algorithms</subject><subject>Asymptotic methods</subject><subject>Coordinate transformations</subject><subject>Divergence</subject><subject>Estimation</subject><subject>generalized coordinate transformation</subject><subject>Liapunov exponents</subject><subject>Linear systems</subject><subject>matrix set measure</subject><subject>spectral abscissa</subject><subject>switched linear system</subject><subject>Switching</subject><issn>1561-8625</issn><issn>1934-6093</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNp1kMtKAzEYhYMoWKsL3yDgxiLT5jLXZSleKSio65DJ_NGUaVKTqaW-iA_ki5lp3br6z-I75-cchM4pGVNC2ESGhRpzztgBGtCKp0lOKn4YdZbTpMxZdoxOQlgQklNeZgMET-C180tpFWAInVnKzjiLncZhYzr1Dg1ujQXpcdiGDpYBfxqJ7c_3pb1iI_wGFrxszVfklHO-MVZ2gDsvbdjl9mnhFB1p2QY4-7tD9Hpz_TK7S-aPt_ez6TxRtGAsobkmoDUhBVWMVxwyyYsyq0ulaNowKWtdslRSUkuq6yyDpilYrXWjUlmXwPkQXexzV959rGMdsXBrb-NLwUnJo5mlVaRGe0p5F4IHLVY-9vZbQYnoVxT9iqJfMbKTPbsxLWz_B8X0-WG2c_wCe5B3Fw</recordid><startdate>202407</startdate><enddate>202407</enddate><creator>Lin, Meili</creator><creator>Han, Junfeng</creator><creator>Xu, Yong</creator><general>Wiley Subscription Services, Inc</general><scope>AAYXX</scope><scope>CITATION</scope><scope>JQ2</scope><orcidid>https://orcid.org/0000-0003-0754-7829</orcidid></search><sort><creationdate>202407</creationdate><title>Performance estimation of switched linear systems via n×(n+2) generalized coordinate transformations</title><author>Lin, Meili ; Han, Junfeng ; Xu, Yong</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c1722-16f0eff0071c2393e5a3785b8cc14d2aabf824a10ba1fb55edd72bffdc4ab8e33</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Algorithms</topic><topic>Asymptotic methods</topic><topic>Coordinate transformations</topic><topic>Divergence</topic><topic>Estimation</topic><topic>generalized coordinate transformation</topic><topic>Liapunov exponents</topic><topic>Linear systems</topic><topic>matrix set measure</topic><topic>spectral abscissa</topic><topic>switched linear system</topic><topic>Switching</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lin, Meili</creatorcontrib><creatorcontrib>Han, Junfeng</creatorcontrib><creatorcontrib>Xu, Yong</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Computer Science Collection</collection><jtitle>Asian journal of control</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Lin, Meili</au><au>Han, Junfeng</au><au>Xu, Yong</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Performance estimation of switched linear systems via n×(n+2) generalized coordinate transformations</atitle><jtitle>Asian journal of control</jtitle><date>2024-07</date><risdate>2024</risdate><volume>26</volume><issue>4</issue><spage>2037</spage><epage>2046</epage><pages>2037-2046</pages><issn>1561-8625</issn><eissn>1934-6093</eissn><abstract>For a continuous‐time switched linear system, the spectral abscissa, that is, the maximum Lyapunov exponent, essentially characterizes the worst‐case asymptotic divergence or convergence rate under arbitrary switching. In this study, based on the
n×(n+2)$$ n\times \left(n&amp;#x0002B;2\right) $$ generalized coordinate transformation method, a computational algorithm is proposed to get the performance estimation of the switched linear system under arbitrary switching by estimating the spectral abscissa of the system. Simulation examples are presented to illustrate the effectiveness of the proposed scheme, which gives a better estimation of the spectral abscissa than the existing results.</abstract><cop>Hoboken</cop><pub>Wiley Subscription Services, Inc</pub><doi>10.1002/asjc.3322</doi><tpages>10</tpages><orcidid>https://orcid.org/0000-0003-0754-7829</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1561-8625 |
| ispartof | Asian journal of control, 2024-07, Vol.26 (4), p.2037-2046 |
| issn | 1561-8625 1934-6093 |
| language | eng |
| recordid | cdi_proquest_journals_3083824249 |
| source | Access via Wiley Online Library |
| subjects | Algorithms Asymptotic methods Coordinate transformations Divergence Estimation generalized coordinate transformation Liapunov exponents Linear systems matrix set measure spectral abscissa switched linear system Switching |
| title | Performance estimation of switched linear systems via n×(n+2) generalized coordinate transformations |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-21T04%3A22%3A39IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Performance%20estimation%20of%20switched%20linear%20systems%20via%20n%C3%97(n+2)%20generalized%20coordinate%20transformations&rft.jtitle=Asian%20journal%20of%20control&rft.au=Lin,%20Meili&rft.date=2024-07&rft.volume=26&rft.issue=4&rft.spage=2037&rft.epage=2046&rft.pages=2037-2046&rft.issn=1561-8625&rft.eissn=1934-6093&rft_id=info:doi/10.1002/asjc.3322&rft_dat=%3Cproquest_cross%3E3083824249%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=3083824249&rft_id=info:pmid/&rfr_iscdi=true |