{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:35Z","timestamp":1740134555509,"version":"3.37.3"},"reference-count":28,"publisher":"Wiley","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61104106","L2012422","20212340"],"award-info":[{"award-number":["61104106","L2012422","20212340"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Science Foundation of Department of Education of Liaoning Province","award":["61104106","L2012422","20212340"],"award-info":[{"award-number":["61104106","L2012422","20212340"]}]},{"name":"Start-up Fund for Doctors of Shenyang University","award":["61104106","L2012422","20212340"],"award-info":[{"award-number":["61104106","L2012422","20212340"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2013]]},"abstract":"<jats:p>The sliding mode control and optimization are investigated for a class of nonlinear neutral systems with the unmatched nonlinear term. In the framework of Lyapunov stability theory, the existence conditions for the designed sliding surface and the stability bound<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:msup><mml:mi>\u03b1<\/mml:mi><mml:mo>\u2217<\/mml:mo><\/mml:msup><\/mml:mrow><\/mml:math>are derived via twice transformations. The further results are to develop an efficient sliding mode control law with tuned parameters to attract the state trajectories onto the sliding surface in finite time and remain there for all the subsequent time. Finally, some comparisons are made to show the advantages of our proposed method.<\/jats:p>","DOI":"10.1155\/2013\/357531","type":"journal-article","created":{"date-parts":[[2013,4,9]],"date-time":"2013-04-09T17:13:35Z","timestamp":1365527615000},"page":"1-11","source":"Crossref","is-referenced-by-count":2,"title":["Singular Value Decomposition-Based Method for Sliding Mode Control and Optimization of Nonlinear Neutral Systems"],"prefix":"10.1155","volume":"2013","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2908-6808","authenticated-orcid":true,"given":"Heli","family":"Hu","sequence":"first","affiliation":[{"name":"Key Laboratory of Manufacturing Industrial Integrated Automation, Shenyang University, Shenyang 110044, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dan","family":"Zhao","sequence":"additional","affiliation":[{"name":"Department of Fundamental Teaching, Shenyang Institute of Engineering, Shenyang 110136, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qingling","family":"Zhang","sequence":"additional","affiliation":[{"name":"Institute of Systems Science, Northeastern University, Shenyang, Liaoning 110004, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"year":"1999","key":"1"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2011.2106090"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.nahs.2010.04.003"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2008.2007178"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2009.2017981"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2009.2034191"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2009.0459"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1109\/9.940943"},{"key":"12","series-title":"Mathematics in Science and Engineering","first-page":"xii+398","volume":"191","year":"1993"},{"key":"13","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1090\/qam\/204800","volume":"24","year":"1966","journal-title":"Quarterly of Applied Mathematics"},{"key":"14","series-title":"Lecture Notes in Control and Information Sciences","first-page":"xvi+383","volume":"269","year":"2001"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1109\/9.489272"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1007\/s00034-012-9459-1"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2011.04.082"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2011.09.022"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2009.0341"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2011.10.028"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2003.812815"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2009.0068"},{"issue":"5","key":"19","first-page":"617","volume":"44","year":"2008","journal-title":"Kybernetika"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2011.2157734"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2010.2049495"},{"issue":"3","key":"24","first-page":"259","volume":"22","year":"2005","journal-title":"Transactions of Nanjing University of Aeronautics and Astronautics"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1108\/03684920910944155"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1049\/ip-cta:20040009"},{"year":"1996","key":"30"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2005.10.080"},{"year":"1995","key":"29"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/357531.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/357531.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/357531.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,21]],"date-time":"2017-06-21T07:07:01Z","timestamp":1498028821000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2013\/357531\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"references-count":28,"alternative-id":["357531","357531"],"URL":"https:\/\/doi.org\/10.1155\/2013\/357531","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2013]]}}}