{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,4]],"date-time":"2026-05-04T16:07:20Z","timestamp":1777910840287,"version":"3.51.4"},"reference-count":36,"publisher":"SAGE Publications","issue":"16","license":[{"start":{"date-parts":[[2023,5,6]],"date-time":"2023-05-06T00:00:00Z","timestamp":1683331200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"funder":[{"name":"the Foundation of A Hundred Youth Talents Training Program of Lanzhou Jiaotong University","award":["20060057"],"award-info":[{"award-number":["20060057"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61863021"],"award-info":[{"award-number":["61863021"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"the Youth Doctoral Foundation of Gansu Province","award":["2021GB-059"],"award-info":[{"award-number":["2021GB-059"]}]}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Transactions of the Institute of Measurement and Control"],"published-print":{"date-parts":[[2023,12]]},"abstract":"<jats:p>\n                    This paper investigates an H\n                    <jats:sub>\u221e<\/jats:sub>\n                    cruise control strategy for uncertain high-speed trains (HSTs) with two time-varying delays. The multibody model of the cascading car is established, taking into account the influence of the flexible coupler and the basic resistance (rolling mechanical resistance + aerodynamic resistance) in the actual operation process. There are many uncertainties in the actual operation of the train, such as disturbances caused by gusts and track irregularities and time-varying delays caused by flexible couplers. Based on the above factors, this paper fully considers and supplements the multibody model. A cruise control strategy based on Lyapunov stability theory and linear matrix inequality (LMI) is proposed. The state feedback control rate with input short time delay is designed, and a cruise control method with double time-varying delays is proposed by sampling data. Constructed Lyapunov\u2013Krasovskii function (LKF) with time-delay parameters for time-delay systems to fully introduce the information of time delays. In view of the disturbance effect, the sufficient condition to suppress the disturbance is given. The proposed H\n                    <jats:sub>\u221e<\/jats:sub>\n                    cruise control method controls the fluctuating speed and displacement of the train to quickly converge to the steady state. The HST at equilibrium tracks the desired velocity and ensures a stable relative displacement. The specified H\n                    <jats:sub>\u221e<\/jats:sub>\n                    interference attenuation level is achieved to ensure safe and comfortable operation. Two numerical simulations are carried out to illustrate the effect of state time-varying delay and disturbance on train stationarity, which proves the superiority of the proposed method.\n                  <\/jats:p>","DOI":"10.1177\/01423312231160303","type":"journal-article","created":{"date-parts":[[2023,5,6]],"date-time":"2023-05-06T08:02:28Z","timestamp":1683360148000},"page":"3173-3186","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["H\n                    <sub>\u221e<\/sub>\n                    cruise control for high-speed trains with process and data transmission\n                    <i>time-varying delay<\/i>"],"prefix":"10.1177","volume":"45","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9748-3808","authenticated-orcid":false,"given":"Xiuxiu","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Mechanical Engineering, Lanzhou Jiaotong University, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0871-2307","authenticated-orcid":false,"given":"Yanliang","family":"Cui","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Lanzhou Jiaotong University, 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