{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,30]],"date-time":"2026-01-30T23:59:33Z","timestamp":1769817573408,"version":"3.49.0"},"reference-count":39,"publisher":"SAGE Publications","issue":"7","license":[{"start":{"date-parts":[[2019,12,26]],"date-time":"2019-12-26T00:00:00Z","timestamp":1577318400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Transactions of the Institute of Measurement and Control"],"published-print":{"date-parts":[[2020,4]]},"abstract":"<jats:p>This paper focuses on the finite-time boundedness of switched nonlinear systems based on the Finsler\u2019s lemma, auxiliary matrices, and average dwell time method. The analysis is provided for a switched system with Lipschitz nonlinearities and in the presence of external disturbances. Moreover, a switching controller is designed based on linear matrix inequalities (LMIs), to make the closed-loop system finite-time bounded. Presented theorems in this paper are more general and have less conservatism than the existing methods due to using the auxiliary matrices that make the Lyapunov matrix separate from the system matrix in the resulting LMIs. Moreover, in all theorems, the average dwell time of the switching system has been evaluated. Three examples are given to illustrate the effectiveness of the proposed method and to show that it is less conservative compared with existing methods.<\/jats:p>","DOI":"10.1177\/0142331219891609","type":"journal-article","created":{"date-parts":[[2019,12,26]],"date-time":"2019-12-26T05:07:26Z","timestamp":1577336846000},"page":"1406-1416","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":11,"title":["Finite-time boundedness and stabilization of switched nonlinear systems using auxiliary matrices and average dwell time method"],"prefix":"10.1177","volume":"42","author":[{"given":"Hadi","family":"Gholami","sequence":"first","affiliation":[{"name":"Department of Electrical and Electronic Engineering, Shiraz University of Technology, Iran"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3989-4676","authenticated-orcid":false,"given":"Mohammad Hossein","family":"Shafiei","sequence":"additional","affiliation":[{"name":"Department of Electrical and Electronic Engineering, Shiraz University of Technology, Iran"}]}],"member":"179","published-online":{"date-parts":[[2019,12,26]]},"reference":[{"key":"e_1_3_2_2_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2015.11.058"},{"key":"e_1_3_2_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(01)00087-5"},{"key":"e_1_3_2_4_1","doi-asserted-by":"publisher","DOI":"10.1177\/0142331216678061"},{"key":"e_1_3_2_5_1","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2017.1203"},{"key":"e_1_3_2_6_1","doi-asserted-by":"publisher","DOI":"10.1177\/1077546318819737"},{"key":"e_1_3_2_7_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2016.01.042"},{"key":"e_1_3_2_8_1","first-page":"83","volume-title":"Proceedings of the IRE international convention record, part 4","author":"Dorato P","year":"1961","unstructured":"Dorato P (1961) Short-time stability in linear time-varying systems. In: Proceedings of the IRE international convention record, part 4, New York, 9 May 1961, pp. 83\u201387."},{"key":"e_1_3_2_9_1","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2009.5399646"},{"issue":"5","key":"e_1_3_2_10_1","first-page":"870","article-title":"Finite-time boundedness and stabilization of switched linear systems","volume":"46","author":"Du H","year":"2010","unstructured":"Du H, Lin X, Li S (2010) Finite-time boundedness and stabilization of switched linear systems. Kybernetika 46(5): 870\u2013889.","journal-title":"Kybernetika"},{"key":"e_1_3_2_11_1","doi-asserted-by":"publisher","DOI":"10.1080\/21642583.2018.1428696"},{"key":"e_1_3_2_12_1","doi-asserted-by":"publisher","DOI":"10.1177\/1077546318802422"},{"key":"e_1_3_2_13_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-018-3297-4"},{"key":"e_1_3_2_14_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00034-018-01018-5"},{"key":"e_1_3_2_15_1","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2018.2798644"},{"key":"e_1_3_2_16_1","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2017.2695483"},{"key":"e_1_3_2_17_1","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.1999.831330"},{"key":"e_1_3_2_18_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2016.01.080"},{"key":"e_1_3_2_19_1","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2008.2012009"},{"key":"e_1_3_2_20_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2013.01.018"},{"key":"e_1_3_2_21_1","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2018.5402"},{"key":"e_1_3_2_22_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2016.11.039"},{"key":"e_1_3_2_23_1","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2011.0224"},{"key":"e_1_3_2_24_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2013.10.020"},{"key":"e_1_3_2_25_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2012.12.014"},{"key":"e_1_3_2_26_1","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2018.5489"},{"key":"e_1_3_2_27_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2015.10.020"},{"key":"e_1_3_2_28_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2015.01.038"},{"key":"e_1_3_2_29_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2014.12.010"},{"key":"e_1_3_2_30_1","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2016.2578300"},{"key":"e_1_3_2_31_1","doi-asserted-by":"publisher","DOI":"10.1177\/0142331216663617"},{"key":"e_1_3_2_32_1","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2018.2834481"},{"key":"e_1_3_2_33_1","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2011.0529"},{"key":"e_1_3_2_34_1","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2017.2720970"},{"key":"e_1_3_2_35_1","article-title":"Reliable fuzzy tracking control of near-space hypersonic vehicle using aperiodic measurement information","author":"Wang Y","year":"2019","unstructured":"Wang Y, Yang X, Yan H (2019) Reliable fuzzy tracking control of near-space hypersonic vehicle using aperiodic measurement information. IEEE Transactions on Industrial Electronics.","journal-title":"IEEE Transactions on Industrial Electronics"},{"key":"e_1_3_2_36_1","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1967.1098483"},{"key":"e_1_3_2_37_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2010.12.001"},{"key":"e_1_3_2_38_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2011.10.021"},{"key":"e_1_3_2_39_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2011.09.022"},{"key":"e_1_3_2_40_1","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2015.0617"}],"container-title":["Transactions of the Institute of Measurement and Control"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/0142331219891609","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.1177\/0142331219891609","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/0142331219891609","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,8,4]],"date-time":"2025-08-04T06:47:44Z","timestamp":1754290064000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.1177\/0142331219891609"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,12,26]]},"references-count":39,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2020,4]]}},"alternative-id":["10.1177\/0142331219891609"],"URL":"https:\/\/doi.org\/10.1177\/0142331219891609","relation":{},"ISSN":["0142-3312","1477-0369"],"issn-type":[{"value":"0142-3312","type":"print"},{"value":"1477-0369","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,12,26]]}}}