{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,17]],"date-time":"2026-04-17T08:34:00Z","timestamp":1776414840544,"version":"3.51.2"},"reference-count":42,"publisher":"Springer Science and Business Media LLC","issue":"8","license":[{"start":{"date-parts":[[2021,10,27]],"date-time":"2021-10-27T00:00:00Z","timestamp":1635292800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,10,27]],"date-time":"2021-10-27T00:00:00Z","timestamp":1635292800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comp. Appl. Math."],"published-print":{"date-parts":[[2021,12]]},"DOI":"10.1007\/s40314-021-01615-2","type":"journal-article","created":{"date-parts":[[2021,10,27]],"date-time":"2021-10-27T16:03:01Z","timestamp":1635350581000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Observer-based mixed $${{H}_{\\infty }\/{\\text {passive}}}$$ adaptive sliding mode control for Semi-Markovian jump system with time-varying delay"],"prefix":"10.1007","volume":"40","author":[{"given":"Zhiqi","family":"Wei","sequence":"first","affiliation":[]},{"given":"Huan","family":"Li","sequence":"additional","affiliation":[]},{"given":"Yuechao","family":"Ma","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,10,27]]},"reference":[{"key":"1615_CR1","first-page":"125388","volume":"384","author":"D Aravindh","year":"2020","unstructured":"Aravindh D, Sakthivel R, Kong F, Marshal Anthoni S (2020) Finite-time reliable stabilization of uncertain semi-Markovian jump systems with input saturation. Appl Math Comput 384:125388","journal-title":"Appl Math Comput"},{"issue":"5","key":"1615_CR2","doi-asserted-by":"publisher","first-page":"853","DOI":"10.1109\/TAC.2006.875008","volume":"51","author":"F Castanos","year":"2006","unstructured":"Castanos F, Fridman L (2006) Analysis and design of integral sliding manifolds for systems with unmatched perturbations. IEEE Trans Autom Control 51(5):853\u2013858","journal-title":"IEEE Trans Autom Control"},{"key":"1615_CR3","doi-asserted-by":"publisher","first-page":"1614","DOI":"10.1007\/s12555-018-0432-z","volume":"17","author":"F Chen","year":"2019","unstructured":"Chen F, Lu D, Li X (2019) Robust observer based fault-tolerant control for one-sided lipschitz Markovian jump systems with general uncertain transition rates. Int J Control Autom Syst 17:1614\u20131625","journal-title":"Int J Control Autom Syst"},{"key":"1615_CR4","doi-asserted-by":"publisher","first-page":"199","DOI":"10.1016\/j.isatra.2020.10.027","volume":"109","author":"X Dang","year":"2021","unstructured":"Dang X, Zhao X, Dang C, Jiang H, Wu X, Zha L (2021) Incomplete differentiation-based improved adaptive backstepping integral sliding mode control for position control of hydraulic system. ISA Trans 109:199\u2013217","journal-title":"ISA Trans"},{"issue":"1","key":"1615_CR5","doi-asserted-by":"publisher","first-page":"575","DOI":"10.1016\/j.jfranklin.2020.10.038","volume":"358","author":"Z Echreshavi","year":"2021","unstructured":"Echreshavi Z, Shasadeghi M, Asemani M (2021) $${{ H}_\\infty }$$ dynamic observer-based fuzzy integral sliding mode control with input magnitude and rate constraints. J Frankl Inst 358(1):575\u2013605","journal-title":"J Frankl Inst"},{"key":"1615_CR6","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.jprocont.2020.07.003","volume":"93","author":"X Gao","year":"2020","unstructured":"Gao X, Weng Y (2020) Chattering-free model free adaptive sliding mode control for gas collection process with data dropout. J Process Control 93:1\u201313","journal-title":"J Process Control"},{"key":"1615_CR7","doi-asserted-by":"publisher","first-page":"29","DOI":"10.1016\/j.isatra.2015.12.013","volume":"61","author":"L Gao","year":"2016","unstructured":"Gao L, Jiang X, Wang D (2016) Observer-based robust finite time $${{ H}_\\infty }$$ sliding mode control for Markovian switching systems with mode-dependent time-varying delay and incomplete transition rate. ISA Trans 61:29\u201348","journal-title":"ISA Trans"},{"issue":"2","key":"1615_CR8","doi-asserted-by":"publisher","first-page":"810","DOI":"10.1109\/TCYB.2018.2874166","volume":"50","author":"B Jiang","year":"2020","unstructured":"Jiang B, Karimi H, Kao Y, Gao C (2020) Adaptive control of nonlinear semi-Markovian jump T-S fuzzy systems with immeasurable premise variables via sliding mode observer. IEEE Trans Cybern 50(2):810\u2013820","journal-title":"IEEE Trans Cybern"},{"key":"1615_CR9","doi-asserted-by":"publisher","first-page":"218","DOI":"10.1016\/j.automatica.2014.10.095","volume":"52","author":"Y Kao","year":"2015","unstructured":"Kao Y, Xie J, Wang C, Karimi H (2015) A sliding mode approach to $${{ H}_\\infty }$$ non-fragile observer-based control design for uncertain Markovian neutral-type stochastic systems. Automatica 52:218\u2013226","journal-title":"Automatica"},{"key":"1615_CR10","first-page":"124539","volume":"362","author":"C Kong","year":"2019","unstructured":"Kong C, Ma Y, Liu D (2019) Observer-based quantized sliding mode dissipative control for singular semi-Markovian jump systems. Appl Math Comput 362:124539","journal-title":"Appl Math Comput"},{"key":"1615_CR11","doi-asserted-by":"publisher","first-page":"815","DOI":"10.1016\/j.ins.2021.01.023","volume":"570","author":"C Ku","year":"2021","unstructured":"Ku C, Chang W, Tsai M, Lee Y (2021) Observer-based proportional derivative fuzzy control for singular Takagi-Sugeno fuzzy systems. Inf Sci 570:815\u2013830","journal-title":"Inf Sci"},{"key":"1615_CR12","doi-asserted-by":"publisher","first-page":"124150","DOI":"10.1016\/j.jmaa.2020.124150","volume":"489","author":"S Li","year":"2020","unstructured":"Li S, Yao X, Li W (2020) Almost sure exponential stabilization of hybrid stochastic coupled systems via intermittent noises: A higher-order nonlinear growth condition. J Math Anal Appl 489:124150","journal-title":"J Math Anal Appl"},{"issue":"5","key":"1615_CR13","doi-asserted-by":"publisher","first-page":"2722","DOI":"10.1016\/j.jfranklin.2021.01.029","volume":"358","author":"X Li","year":"2021","unstructured":"Li X, Mu X, Yang Z (2021) Reliable dissipative control for fuzzy singular semi-markovian jump systems with mode-dependent delays and randomly occuring uncertainties. J Frankl Inst 358(5):2722\u20132743","journal-title":"J Frankl Inst"},{"issue":"4","key":"1615_CR14","doi-asserted-by":"publisher","first-page":"4365","DOI":"10.1007\/s00034-017-0536-3","volume":"36","author":"Z Liu","year":"2017","unstructured":"Liu Z, Zhao L, Xiao H, Gao C (2017) Adaptive $${{ H}_\\infty }$$ integral sliding mode control for uncertain singular time-delay systems based on observer. Circuits Syst Signal Process 36(4):4365\u20134387","journal-title":"Circuits Syst Signal Process"},{"key":"1615_CR15","doi-asserted-by":"publisher","first-page":"108596","DOI":"10.1016\/j.automatica.2019.108596","volume":"111","author":"Z Liu","year":"2020","unstructured":"Liu Z, Karimi HR, Yu J (2020) Passivity-based robust sliding mode synthesis for uncertain delayed stochastic systems via state observer. Automatica 111:108596","journal-title":"Automatica"},{"issue":"15","key":"1615_CR16","doi-asserted-by":"publisher","first-page":"10900","DOI":"10.1016\/j.jfranklin.2020.08.023","volume":"357","author":"Y Liu","year":"2020","unstructured":"Liu Y, Xia J, Meng B, Song X, Shen H (2020) Extended dissipative synchronization for semi-Markov jump complex dynamic networks via memory sampled-data control scheme. J Frankl Inst 357(15):10900\u201310920","journal-title":"J Frankl Inst"},{"key":"1615_CR17","doi-asserted-by":"publisher","first-page":"573","DOI":"10.1016\/j.ins.2020.08.098","volume":"546","author":"X Mu","year":"2021","unstructured":"Mu X, Li X, Fang J, Wu X (2021) Reliable observer-based finite-time $${{ H}_\\infty }$$ control for networked nonlinear semi-Markovian jump systems with actuator fault and parameter uncertainties via dynamic event-triggered scheme. Inf Sci 546:573\u2013595","journal-title":"Inf Sci"},{"key":"1615_CR18","first-page":"124968","volume":"372","author":"K Nguyen","year":"2020","unstructured":"Nguyen K, Kim S (2020) Observer-based control design of semi-Markovian jump systems with uncertain probability intensities and mode-transition-dependent sojourn-time distribution. Appl Math Comput 372:124968","journal-title":"Appl Math Comput"},{"issue":"10","key":"1615_CR19","doi-asserted-by":"publisher","first-page":"1504","DOI":"10.1049\/iet-cta.2016.1465","volume":"11","author":"W Qi","year":"2017","unstructured":"Qi W, Park J, Cheng J, Kao Y (2017) Robust stabilisation for non-linear time-delay semi-Markovian jump systems via sliding mode control. IET Control Theory Appl 11(10):1504\u20131513","journal-title":"IET Control Theory Appl"},{"key":"1615_CR20","doi-asserted-by":"publisher","first-page":"42","DOI":"10.1016\/j.ins.2020.05.029","volume":"535","author":"J Ren","year":"2020","unstructured":"Ren J, He G, Fu J (2020) Robust $${{ H}_\\infty }$$ sliding mode control for nonlinear stochastic T-S fuzzy singular Markovian jump systems with time-varying delays. Inf Sci 535:42\u201363","journal-title":"Inf Sci"},{"key":"1615_CR21","doi-asserted-by":"publisher","first-page":"109405","DOI":"10.1016\/j.automatica.2020.109405","volume":"125","author":"X Su","year":"2021","unstructured":"Su X, Wang C, Chang H, Yang Y, Assawinchaichote W (2021) Event-triggered sliding mode control of networked control systems with Markovian jump parameters. Automatica 125:109405","journal-title":"Automatica"},{"key":"1615_CR22","first-page":"125282","volume":"380","author":"R Tao","year":"2020","unstructured":"Tao R, Ma Y, Wang C (2020) Stochastic admissibility of singular Markov jump systems with time-delay via sliding mode approach. Appl Math Comput 380:125282","journal-title":"Appl Math Comput"},{"key":"1615_CR23","doi-asserted-by":"publisher","first-page":"184","DOI":"10.1016\/j.neucom.2021.01.055","volume":"436","author":"N Wang","year":"2021","unstructured":"Wang N, Hao F (2021) Event-triggered sliding mode control with adaptive neural networks for uncertain nonlinear systems. Neurocomputing 436:184\u2013197","journal-title":"Neurocomputing"},{"issue":"4","key":"1615_CR24","doi-asserted-by":"publisher","first-page":"2741","DOI":"10.1007\/s11071-016-3224-0","volume":"87","author":"J Wang","year":"2017","unstructured":"Wang J, Chen M, Shen H (2017) Event-triggered dissipative filtering for networked semi-Markov jump systems and its applications in a mass-spring system model. Nonlinear Dyn 87(4):2741\u20132753","journal-title":"Nonlinear Dyn"},{"key":"1615_CR25","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2020.2979860","author":"J Wang","year":"2020","unstructured":"Wang J, Yang C, Shen H, Cao Jinde, Rutkowski Leszek (2020) Sliding-mode control for slow-sampling singularly perturbed systems subject to Markov jump parameters. IEEE Trans Syst Man Cybern Syst. https:\/\/doi.org\/10.1109\/TSMC.2020.2979860","journal-title":"IEEE Trans Syst Man Cybern Syst"},{"key":"1615_CR26","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2020.3012761","author":"J Wang","year":"2020","unstructured":"Wang J, Xia J, Shen H, Xing M, Park J (2020) $$H_{\\infty }$$ synchronization for fuzzy Markov jump chaotic systems with piecewise-constant transition probabilities subject to PDT switching rule. IEEE Trans Fuzzy Syst. https:\/\/doi.org\/10.1109\/TFUZZ.2020.3012761","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"1615_CR27","doi-asserted-by":"publisher","first-page":"109468","DOI":"10.1016\/j.automatica.2020.109468","volume":"125","author":"Y Wang","year":"2021","unstructured":"Wang Y, Zhu B, Zhang H, Zheng W (2021) Functional observer-based finite-time adaptive ISMC for continuous systems with unknown nonlinear function. Automatica 125:109468","journal-title":"Automatica"},{"key":"1615_CR28","doi-asserted-by":"publisher","first-page":"239","DOI":"10.1016\/j.ins.2021.02.073","volume":"566","author":"Z Wei","year":"2021","unstructured":"Wei Z, Ma Y (2021) Robust $${{ H}_\\infty }$$ observer-based sliding mode control for uncertain Takagi-Sugeno fuzzy descriptor systems with unmeasurable premise variables and time-varying delay. Inf Sci 566:239\u2013261","journal-title":"Inf Sci"},{"key":"1615_CR29","doi-asserted-by":"publisher","first-page":"233","DOI":"10.1016\/j.nahs.2018.09.003","volume":"31","author":"W Xia","year":"2019","unstructured":"Xia W, Li Y, Chu Y, Xu S, Chen W, Zhang Z (2019) Observer-based mixed passive and $${{ H}_\\infty }$$ control for uncertain Markovian jump systems with time delays using quantized measurements. Nonlinear Anal Hybrid Syst 31:233\u2013246","journal-title":"Nonlinear Anal Hybrid Syst"},{"key":"1615_CR30","first-page":"315","volume":"337","author":"Y Xu","year":"2018","unstructured":"Xu Y, Chu C, Li W (2018) Quantized feedback control scheme on coupled systems with time delay and distributed delay: A finite-time inner synchronization analysis. Appl Math Comput 337:315\u2013328","journal-title":"Appl Math Comput"},{"issue":"8","key":"1615_CR31","doi-asserted-by":"publisher","first-page":"4209","DOI":"10.1016\/j.jfranklin.2021.03.019","volume":"358","author":"Y Xu","year":"2021","unstructured":"Xu Y, Xie Z, Zhao J, Li W, Li P, Wong P (2021) Robust non-fragile finite frequency $${{ H}_\\infty }$$ control for uncertain active suspension systems with time-delay using T-S fuzzy approach. J Frankl Inst 358(8):4209\u20134238","journal-title":"J Frankl Inst"},{"issue":"99","key":"1615_CR32","first-page":"1","volume":"50","author":"X Xue","year":"2019","unstructured":"Xue X, Xu H, Xu L (2019) Distributed output-feedback controllers design for Markovian jump systems interconnected over an undirected graph with time-varying delay. Int J Syst Sci 50(99):1\u201322","journal-title":"Int J Syst Sci"},{"issue":"2","key":"1615_CR33","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1080\/00207721.2016.1177129","volume":"48","author":"T Yang","year":"2017","unstructured":"Yang T, Zhang L, Lam H (2017) $${{ H}_\\infty }$$ fuzzy control of semi-Markov jump nonlinear systems under $$\\sigma $$-error mean square stability. Int J Syst Sci 48(2):1\u20139","journal-title":"Int J Syst Sci"},{"issue":"18","key":"1615_CR34","doi-asserted-by":"publisher","first-page":"13593","DOI":"10.1016\/j.jfranklin.2020.10.015","volume":"357","author":"Q Yao","year":"2020","unstructured":"Yao Q (2020) Adaptive finite-time sliding mode control design for finite-time fault-tolerant trajectory tracking of marine vehicles with input saturation. J Frankl Inst 357(18):13593\u201313619","journal-title":"J Frankl Inst"},{"key":"1615_CR35","first-page":"125184","volume":"377","author":"P Yu","year":"2020","unstructured":"Yu P, Ma Y (2020) Observer-based asynchronous control for Markov jump systems. Appl Math Comput 377:125184","journal-title":"Appl Math Comput"},{"key":"1615_CR36","first-page":"191","volume":"342","author":"D Zhang","year":"2019","unstructured":"Zhang D, Cheng J, Ahn C, Ni H (2019) A flexible terminal approach to stochastic stability and stabilization of continuous-time semi-Markovian jump systems with time-varying delay. Appl Math Comput 342:191\u2013205","journal-title":"Appl Math Comput"},{"issue":"4","key":"1615_CR37","doi-asserted-by":"publisher","first-page":"1232","DOI":"10.1109\/TNNLS.2019.2919585","volume":"31","author":"Y Zhang","year":"2020","unstructured":"Zhang Y, Shi P, Agarwal RK, Shi Y (2020) Event-based dissipative analysis for discrete time-delay singular jump neural networks. IEEE Trans Neural Netw Learn Syst 31(4):1232\u20131241","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"1615_CR38","doi-asserted-by":"publisher","first-page":"59","DOI":"10.1016\/j.isatra.2019.09.007","volume":"99","author":"Y Zhang","year":"2020","unstructured":"Zhang Y, Ma Y, Fu L, Zhao W, Huang X (2020) Finite-time non-fragile $${{ H}_\\infty }$$ sampled-date control for uncertain T-S fuzzy system with time-varying delay and nonlinear perturbation subject to markovian jump. ISA Trans 99:59\u201373","journal-title":"ISA Trans"},{"key":"1615_CR39","first-page":"126304","volume":"407","author":"Y Zhao","year":"2021","unstructured":"Zhao Y, Ma Y (2021) Asynchronous $$H_{\\infty }$$ control for hidden singular Markov jump systems with incomplete transition probabilities via state decomposition approach. Appl Math Comput 407:126304","journal-title":"Appl Math Comput"},{"key":"1615_CR40","first-page":"81","volume":"349","author":"W Zhao","year":"2019","unstructured":"Zhao W, Ma Y, Chen A, Fu L, Zhang Y (2019) Robust sliding mode control for Markovian jump singular systems with randomly changing structure. Appl Math Comput 349:81\u201396","journal-title":"Appl Math Comput"},{"issue":"4","key":"1615_CR41","doi-asserted-by":"publisher","first-page":"818","DOI":"10.1080\/00207721.2018.1424967","volume":"49","author":"Q Zheng","year":"2018","unstructured":"Zheng Q, Ling Y, Wei L, Zhang H (2018) Mixed $${{ H}_\\infty }$$ and passive control for linear switched systems via hybrid control approach. Int J Syst Sci 49(4):818\u2013832","journal-title":"Int J Syst Sci"},{"issue":"3","key":"1615_CR42","doi-asserted-by":"publisher","first-page":"1156","DOI":"10.1016\/j.jfranklin.2017.12.035","volume":"355","author":"Q Zheng","year":"2018","unstructured":"Zheng Q, Zhang H, Ling Y, Guo X (2018) Mixed $${{ H}_\\infty }$$ and passive control for a class of nonlinear switched systems with average dwell time via hybrid control approach. J Frankl Inst 355(3):1156\u20131175","journal-title":"J Frankl Inst"}],"container-title":["Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-021-01615-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s40314-021-01615-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-021-01615-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,12,3]],"date-time":"2021-12-03T13:20:27Z","timestamp":1638537627000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s40314-021-01615-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,10,27]]},"references-count":42,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2021,12]]}},"alternative-id":["1615"],"URL":"https:\/\/doi.org\/10.1007\/s40314-021-01615-2","relation":{},"ISSN":["2238-3603","1807-0302"],"issn-type":[{"value":"2238-3603","type":"print"},{"value":"1807-0302","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,10,27]]},"assertion":[{"value":"17 May 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 June 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 June 2021","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 October 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"287"}}