{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T10:53:30Z","timestamp":1761648810471},"reference-count":45,"publisher":"Oxford University Press (OUP)","issue":"1","license":[{"start":{"date-parts":[[2020,12,8]],"date-time":"2020-12-08T00:00:00Z","timestamp":1607385600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021,3,16]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>This work focuses on the sliding mode control (SMC) for a family of linear systems with uncertainties and time-varying delays. First, an integral switching surface is constructed to verify the robust asymptotic stability of the considered system and the results are extended to analyse the mixed $\\mathscr{H}_{\\infty }\\big \/$Passivity performance index. Thereafter, a suitable SMC law is developed to force the system state onto the predefined switching surface in short time. By using Lyapunov stability theory, some novel results are obtained, and the required stability conditions are established in terms of linear matrix inequalities which can be solved by standard Matlab toolbox. Finally, the results are validated over a Chua\u2019s circuit model, which describes the practical application of the developed results.<\/jats:p>","DOI":"10.1093\/imamci\/dnaa032","type":"journal-article","created":{"date-parts":[[2020,10,7]],"date-time":"2020-10-07T12:00:23Z","timestamp":1602072023000},"page":"320-336","source":"Crossref","is-referenced-by-count":10,"title":["New results on robust sliding mode control for linear time-delay systems"],"prefix":"10.1093","volume":"38","author":[{"given":"Jothiappan","family":"Palraj","sequence":"first","affiliation":[{"name":"Department of Mathematics, PSG College of Technology, Coimbatore 641 004, India"}]},{"given":"Kalidass","family":"Mathiyalagan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Bharathiar University, Coimbatore 641 046, India"}]},{"given":"Peng","family":"Shi","sequence":"additional","affiliation":[{"name":"School of Electrical and Electronic Engineering, University of Adelaide, Adelaide, SA 5005, Australia"}]}],"member":"286","published-online":{"date-parts":[[2020,12,8]]},"reference":[{"key":"2021021910190066200_ref1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.isatra.2018.04.017","article-title":"Robust adaptive sliding mode control for uncertain systems with unknown time-varying delay input","volume":"79","author":"Benamor","year":"2018","journal-title":"ISA Trans"},{"key":"2021021910190066200_ref2","first-page":"1181","article-title":"Impulsive control and exponential stability for nonlinear time-varying systems with time-varying delays","volume":"8","author":"Chen","year":"2017","journal-title":"ICIC Express Letters, Part B"},{"key":"2021021910190066200_ref3","doi-asserted-by":"crossref","first-page":"244","DOI":"10.1016\/j.amc.2016.08.029","article-title":"Mixed ${H}\\_{\\infty } $ and passive control for singular systems with time delay via static output feedback","volume":"293","author":"Chen","year":"2017","journal-title":"Appl. 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