{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:13:49Z","timestamp":1753881229368,"version":"3.41.2"},"reference-count":11,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,3,20]],"date-time":"2012-03-20T00:00:00Z","timestamp":1332201600000},"content-version":"vor","delay-in-days":79,"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":["60874055","CXTD2010-05"],"award-info":[{"award-number":["60874055","CXTD2010-05"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003481","name":"Hebei Normal University","doi-asserted-by":"publisher","award":["60874055","CXTD2010-05"],"award-info":[{"award-number":["60874055","CXTD2010-05"]}],"id":[{"id":"10.13039\/501100003481","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>This paper is concerned with the problem of the asymptotic stability of the characteristic model\u2010based golden\u2010section control law for multi\u2010input and multi\u2010output linear systems. First, by choosing a set of polynomial matrices of the objective function of the generalized least\u2010square control, we prove that the control law of the generalized least square can become the characteristic model\u2010based golden\u2010section control law. Then, based on both the stability result of the generalized least\u2010square control system and the stability theory of matrix polynomial, the asymptotic stability of the closed loop system for the characteristic model under the control of the golden\u2010section control law is proved for minimum phase system.<\/jats:p>","DOI":"10.1155\/2012\/407409","type":"journal-article","created":{"date-parts":[[2012,3,22]],"date-time":"2012-03-22T15:09:51Z","timestamp":1332428991000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Asymptotic Stability of the Golden\u2010Section Control Law for Multi\u2010Input and Multi\u2010Output Linear Systems"],"prefix":"10.1155","volume":"2012","author":[{"given":"Duo-Qing","family":"Sun","sequence":"first","affiliation":[]},{"given":"Zhu-Mei","family":"Sun","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,3,20]]},"reference":[{"key":"e_1_2_6_1_2","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCC.2006.887004"},{"key":"e_1_2_6_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11432-009-0182-x"},{"key":"e_1_2_6_3_2","first-page":"177","article-title":"The application of the golden-selection in adaptive robust controller design","volume":"18","author":"Xie Y.-C.","year":"1992","journal-title":"Acta Automatica Sinica"},{"key":"e_1_2_6_4_2","doi-asserted-by":"crossref","first-page":"331","DOI":"10.1016\/S0892-9270(96)00023-1","article-title":"The all-coefficient adaptive control method and its application in spacecraft attitude control","volume":"16","author":"Xie Y.-C.","year":"1996","journal-title":"Space Technology"},{"key":"e_1_2_6_5_2","doi-asserted-by":"crossref","unstructured":"QiC.-Z. WuH.-X. andLvZ.-D. The study on the stability of all-coefficient golden section feedback control system 5 Proceedings of the 3rd World Congress on Intelligent Control and Automation July 2000 3168\u20133171 2-s2.0-0034591096.","DOI":"10.1109\/WCICA.2000.863083"},{"key":"e_1_2_6_6_2","unstructured":"SunD.-Q.andWuH.-X. Study on the stability of golden section adaptive control systems based on characteristic modelling Proceedings of the 11th International Fuzzy Systems Association World Congress 2005 Tsinghua University Press & Springer 174\u2013178."},{"key":"e_1_2_6_7_2","unstructured":"SunD.-Q.andWuH.-X. Stability analysis of multivariable golden section adaptive control systems Proceedings of 17th Chinese Control and Decision Conference 2005 Northeast University Press 85\u201388."},{"key":"e_1_2_6_8_2","first-page":"2128","article-title":"Convergence and stability of the golden-section control","volume":"30","author":"Meng B.","year":"2009","journal-title":"Journal of Astronautics"},{"key":"e_1_2_6_9_2","doi-asserted-by":"publisher","DOI":"10.4028\/www.scientific.net\/AMM.80-81.1096"},{"key":"e_1_2_6_10_2","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1986.1104291"},{"key":"e_1_2_6_11_2","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1982.1103078"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/407409.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/407409.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2012\/407409","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,3,23]],"date-time":"2025-03-23T17:41:09Z","timestamp":1742751669000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2012\/407409"}},"subtitle":[],"editor":[{"given":"Mark A.","family":"Petersen","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2012,1]]},"references-count":11,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1155\/2012\/407409"],"URL":"https:\/\/doi.org\/10.1155\/2012\/407409","archive":["Portico"],"relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2012,1]]},"assertion":[{"value":"2011-09-16","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2011-12-19","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-03-20","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"407409"}}