Further Results on Fast Finite-Time Stability Criteria and Its Application in Circuit System
This brief presents a novel approach for fast finite-time adaptive control of uncertain nonlinear systems. First, practical fast finite-time stability criteria are established for both deterministic nonlinear systems and stochastic nonlinear systems with rigorous proofs, taking the case of \beta =1...
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| Veröffentlicht in: | IEEE transactions on circuits and systems. II, Express briefs Express briefs, 2024-04, Vol.71 (4), p.2284-2288 |
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| container_title | IEEE transactions on circuits and systems. II, Express briefs |
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| creator | Shao, Yu Li, Shihua Xu, Shengyuan |
| description | This brief presents a novel approach for fast finite-time adaptive control of uncertain nonlinear systems. First, practical fast finite-time stability criteria are established for both deterministic nonlinear systems and stochastic nonlinear systems with rigorous proofs, taking the case of \beta =1 in literature as a special case. A useful corollary is also explored to address a wider range of issues. These new criteria not only apply to generalized uncertain nonlinear systems with certain and uncertain components but also provide a new perspective to reduce convergence time while handling positive error \Delta . Additionally, simulation results for the proposed criteria applied to a circuit system are provided. The results show that the proposed approach allows for fast convergence time, and the convergence time can be adjusted by the initial value. |
| doi_str_mv | 10.1109/TCSII.2023.3344517 |
| format | Article |
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First, practical fast finite-time stability criteria are established for both deterministic nonlinear systems and stochastic nonlinear systems with rigorous proofs, taking the case of <inline-formula> <tex-math notation="LaTeX">\beta =1 </tex-math></inline-formula> in literature as a special case. A useful corollary is also explored to address a wider range of issues. These new criteria not only apply to generalized uncertain nonlinear systems with certain and uncertain components but also provide a new perspective to reduce convergence time while handling positive error <inline-formula> <tex-math notation="LaTeX">\Delta </tex-math></inline-formula>. Additionally, simulation results for the proposed criteria applied to a circuit system are provided. The results show that the proposed approach allows for fast convergence time, and the convergence time can be adjusted by the initial value.]]></description><identifier>ISSN: 1549-7747</identifier><identifier>EISSN: 1558-3791</identifier><identifier>DOI: 10.1109/TCSII.2023.3344517</identifier><identifier>CODEN: ITCSFK</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Adaptive control ; Asymptotic stability ; Circuit stability ; circuit system ; Convergence ; Fast finite-time stability ; Nonlinear control ; Nonlinear systems ; Stability criteria ; stochastic nonlinear system ; Stochastic systems ; Thermal stability ; uncertain nonlinearity ; Uncertainty</subject><ispartof>IEEE transactions on circuits and systems. II, Express briefs, 2024-04, Vol.71 (4), p.2284-2288</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2024</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c247t-39bab7dfdb03eaf6b4a1d5f306a74c1c6ee82b049e02d66cbc41e9c2dcd164a13</cites><orcidid>0000-0001-9044-7137 ; 0000-0001-8900-6246 ; 0000-0002-3015-0662</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/10365690$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,27923,27924,54757</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/10365690$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Shao, Yu</creatorcontrib><creatorcontrib>Li, Shihua</creatorcontrib><creatorcontrib>Xu, Shengyuan</creatorcontrib><title>Further Results on Fast Finite-Time Stability Criteria and Its Application in Circuit System</title><title>IEEE transactions on circuits and systems. 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The results show that the proposed approach allows for fast convergence time, and the convergence time can be adjusted by the initial value.]]></description><subject>Adaptive control</subject><subject>Asymptotic stability</subject><subject>Circuit stability</subject><subject>circuit system</subject><subject>Convergence</subject><subject>Fast finite-time stability</subject><subject>Nonlinear control</subject><subject>Nonlinear systems</subject><subject>Stability criteria</subject><subject>stochastic nonlinear system</subject><subject>Stochastic systems</subject><subject>Thermal stability</subject><subject>uncertain nonlinearity</subject><subject>Uncertainty</subject><issn>1549-7747</issn><issn>1558-3791</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpNkM9LwzAUgIMoOKf_gHgIeO7MrzbLcRSrhYHg5k0IafqKGV1bk_Sw_97WefCUR_i-9-BD6J6SFaVEPe3zXVmuGGF8xbkQKZUXaEHTdJ1wqejlPAuVSCnkNboJ4UAIU4SzBfosRh-_wON3CGMbA-47XJgQceE6FyHZuyPgXTSVa1084dxPn94ZbLoalxO-GYbWWRPd5LkO587b0UW8O4UIx1t01Zg2wN3fu0QfxfM-f022by9lvtkmlgkZE64qU8m6qSvCwTRZJQyt04aTzEhhqc0A1qwiQgFhdZbZygoKyrLa1jSbWL5Ej-e9g--_RwhRH_rRd9NJzZRKOeVqPVPsTFnfh-Ch0YN3R-NPmhI9V9S_FfVcUf9VnKSHs-QA4J_AszSbCv4AvddvbA</recordid><startdate>20240401</startdate><enddate>20240401</enddate><creator>Shao, Yu</creator><creator>Li, Shihua</creator><creator>Xu, Shengyuan</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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II, Express briefs</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Shao, Yu</au><au>Li, Shihua</au><au>Xu, Shengyuan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Further Results on Fast Finite-Time Stability Criteria and Its Application in Circuit System</atitle><jtitle>IEEE transactions on circuits and systems. II, Express briefs</jtitle><stitle>TCSII</stitle><date>2024-04-01</date><risdate>2024</risdate><volume>71</volume><issue>4</issue><spage>2284</spage><epage>2288</epage><pages>2284-2288</pages><issn>1549-7747</issn><eissn>1558-3791</eissn><coden>ITCSFK</coden><abstract><![CDATA[This brief presents a novel approach for fast finite-time adaptive control of uncertain nonlinear systems. First, practical fast finite-time stability criteria are established for both deterministic nonlinear systems and stochastic nonlinear systems with rigorous proofs, taking the case of <inline-formula> <tex-math notation="LaTeX">\beta =1 </tex-math></inline-formula> in literature as a special case. A useful corollary is also explored to address a wider range of issues. These new criteria not only apply to generalized uncertain nonlinear systems with certain and uncertain components but also provide a new perspective to reduce convergence time while handling positive error <inline-formula> <tex-math notation="LaTeX">\Delta </tex-math></inline-formula>. Additionally, simulation results for the proposed criteria applied to a circuit system are provided. The results show that the proposed approach allows for fast convergence time, and the convergence time can be adjusted by the initial value.]]></abstract><cop>New York</cop><pub>IEEE</pub><doi>10.1109/TCSII.2023.3344517</doi><tpages>5</tpages><orcidid>https://orcid.org/0000-0001-9044-7137</orcidid><orcidid>https://orcid.org/0000-0001-8900-6246</orcidid><orcidid>https://orcid.org/0000-0002-3015-0662</orcidid></addata></record> |
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| ispartof | IEEE transactions on circuits and systems. II, Express briefs, 2024-04, Vol.71 (4), p.2284-2288 |
| issn | 1549-7747 1558-3791 |
| language | eng |
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| source | IEEE Electronic Library (IEL) |
| subjects | Adaptive control Asymptotic stability Circuit stability circuit system Convergence Fast finite-time stability Nonlinear control Nonlinear systems Stability criteria stochastic nonlinear system Stochastic systems Thermal stability uncertain nonlinearity Uncertainty |
| title | Further Results on Fast Finite-Time Stability Criteria and Its Application in Circuit System |
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