{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,27]],"date-time":"2026-05-27T00:02:15Z","timestamp":1779840135684,"version":"3.53.1"},"reference-count":33,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100020884","name":"Agencia Nacional de Investigaci\u00f3n y Desarrollo","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100020884","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002850","name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["11260292"],"award-info":[{"award-number":["11260292"]}],"id":[{"id":"10.13039\/501100002850","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Communications in Nonlinear Science and Numerical Simulation"],"published-print":{"date-parts":[[2026,9]]},"DOI":"10.1016\/j.cnsns.2026.109944","type":"journal-article","created":{"date-parts":[[2026,3,26]],"date-time":"2026-03-26T01:07:42Z","timestamp":1774487262000},"page":"109944","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Constrained sliding mode control and synchronization of second-order uncertain chaotic systems"],"prefix":"10.1016","volume":"160","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9139-7204","authenticated-orcid":false,"given":"Mohammad Hosein","family":"Sabzalian","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3027-8359","authenticated-orcid":false,"given":"Yazdan","family":"Batmani","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8662-8947","authenticated-orcid":false,"given":"Zahra","family":"Karimi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/j.cnsns.2026.109944_bib0001","doi-asserted-by":"crossref","DOI":"10.1016\/j.cnsns.2024.108041","article-title":"Multi-dimensional chaos initiated by short pulses in non-autonomous radio-physical generator","volume":"135","author":"Kilina","year":"2024","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"10.1016\/j.cnsns.2026.109944_bib0002","doi-asserted-by":"crossref","DOI":"10.1016\/j.cnsns.2023.107608","article-title":"Nonlinear dynamics and chaos control of circular dielectric energy generator","volume":"128","author":"Behera","year":"2024","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"10.1016\/j.cnsns.2026.109944_bib0003","doi-asserted-by":"crossref","DOI":"10.1016\/j.cnsns.2024.108025","article-title":"The bifurcation structure within robust chaos for two-dimensional piecewise-linear maps","volume":"134","author":"Ghosh","year":"2024","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"10.1016\/j.cnsns.2026.109944_bib0004","doi-asserted-by":"crossref","first-page":"4665","DOI":"10.1109\/TCSI.2024.3434551","article-title":"Dynamical analysis and fixed-time synchronization for secure communication of hidden multiscroll memristive chaotic system","volume":"71","author":"Lai","year":"2024","journal-title":"IEEE Trans Circuits Syst I Regul Pap"},{"key":"10.1016\/j.cnsns.2026.109944_bib0005","doi-asserted-by":"crossref","DOI":"10.1016\/j.chaos.2023.114118","article-title":"Dynamical analysis and finite-time synchronization of grid-scroll memristive chaotic system without equilibrium","volume":"176","author":"Lai","year":"2023","journal-title":"Chaos Solitons Fractals"},{"issue":"4","key":"10.1016\/j.cnsns.2026.109944_bib0006","doi-asserted-by":"crossref","first-page":"926","DOI":"10.1016\/j.cnsns.2012.09.009","article-title":"Synchronization for chaotic systems and chaos-based secure communications via both reduced-order and step-by-step sliding mode observers","volume":"18","author":"Yang","year":"2013","journal-title":"Commun Nonlinear Sci Numer Simul"},{"issue":"1","key":"10.1016\/j.cnsns.2026.109944_bib0007","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.cnsns.2012.06.003","article-title":"Adaptive anti control of chaos for robot manipulators with experimental evaluations","volume":"18","author":"Moreno-Valenzuela","year":"2013","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"10.1016\/j.cnsns.2026.109944_bib0008","doi-asserted-by":"crossref","first-page":"10","DOI":"10.1016\/j.amc.2014.03.012","article-title":"Adaptive backstepping synchronization between chaotic systems with unknown lipschitz constant","volume":"236","author":"Tu","year":"2014","journal-title":"Appl Math Comput"},{"key":"10.1016\/j.cnsns.2026.109944_bib0009","doi-asserted-by":"crossref","DOI":"10.1016\/j.cnsns.2025.109085","article-title":"AI-driven control of chaos: a transformer-based approach for dynamical systems","volume":"151","author":"Valle","year":"2025","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"10.1016\/j.cnsns.2026.109944_bib0010","series-title":"Nonlinear systems","author":"Khalil","year":"2002"},{"key":"10.1016\/j.cnsns.2026.109944_bib0011","first-page":"1","article-title":"Predefined-time synchronization of central cyclic memristive neural network via sliding mode control with composite multi-power reaching law","author":"Lai","year":"2025","journal-title":"Nonlinear Dyn"},{"issue":"18","key":"10.1016\/j.cnsns.2026.109944_bib0012","doi-asserted-by":"crossref","DOI":"10.7498\/aps.73.20241013","article-title":"Finite and fixed-time synchronization of memristive chaotic systems based on sliding mode reaching law","volume":"73","author":"Lai","year":"2024","journal-title":"Acta Phys Sin"},{"issue":"3","key":"10.1016\/j.cnsns.2026.109944_bib0013","doi-asserted-by":"crossref","first-page":"1390","DOI":"10.1016\/j.chaos.2008.05.022","article-title":"Sliding mode control and synchronization of chaotic systems with parametric uncertainties","volume":"41","author":"Feki","year":"2009","journal-title":"Chaos Solitons Fractals"},{"issue":"1","key":"10.1016\/j.cnsns.2026.109944_bib0014","doi-asserted-by":"crossref","DOI":"10.1038\/s41598-025-21462-z","article-title":"Adaptive sliding mode control for chaotic system synchronization using neural networks","volume":"15","author":"Turab","year":"2025","journal-title":"Sci Rep"},{"key":"10.1016\/j.cnsns.2026.109944_bib0015","doi-asserted-by":"crossref","DOI":"10.1016\/j.chaos.2020.110372","article-title":"Synchronization of second-order chaotic systems with uncertainties and disturbances using fixed-time adaptive sliding mode control","volume":"142","author":"Yao","year":"2021","journal-title":"Chaos Solitons Fractals"},{"issue":"8","key":"10.1016\/j.cnsns.2026.109944_bib0016","doi-asserted-by":"crossref","first-page":"447","DOI":"10.3390\/fractalfract6080447","article-title":"Integer and fractional-order sliding mode control schemes in wind energy conversion systems: comprehensive review, comparison, and technical insight","volume":"6","author":"Sami","year":"2022","journal-title":"Fractal Fract"},{"issue":"6","key":"10.1016\/j.cnsns.2026.109944_bib0017","doi-asserted-by":"crossref","first-page":"2670","DOI":"10.1016\/j.cnsns.2011.10.028","article-title":"Robust stabilization and synchronization of a class of fractional-order chaotic systems via a novel fractional sliding mode controller","volume":"17","author":"Aghababa","year":"2012","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"10.1016\/j.cnsns.2026.109944_bib0018","doi-asserted-by":"crossref","first-page":"196","DOI":"10.1016\/j.chaos.2018.07.028","article-title":"Uncertainty and disturbance estimator based robust synchronization for a class of uncertain fractional chaotic system via fractional order sliding mode control","volume":"115","author":"Deepika","year":"2018","journal-title":"Chaos Solitons Fractals"},{"key":"10.1016\/j.cnsns.2026.109944_bib0019","doi-asserted-by":"crossref","DOI":"10.1016\/j.chaos.2023.113284","article-title":"Fixed-time neural control for output-constrained synchronization of second-order chaotic systems","volume":"169","author":"Yao","year":"2023","journal-title":"Chaos Solitons Fractals"},{"key":"10.1016\/j.cnsns.2026.109944_bib0020","doi-asserted-by":"crossref","DOI":"10.1016\/j.chaos.2021.111434","article-title":"Neural adaptive learning synchronization of second-order uncertain chaotic systems with prescribed performance guarantees","volume":"152","author":"Yao","year":"2021","journal-title":"Chaos Solitons Fractals"},{"issue":"5","key":"10.1016\/j.cnsns.2026.109944_bib0021","doi-asserted-by":"crossref","first-page":"2821","DOI":"10.1109\/TSMC.2019.2917056","article-title":"Adaptive NN cross backstepping control for nonlinear systems with partial time-varying state constraints and its applications to hyper-chaotic systems","volume":"51","author":"Li","year":"2019","journal-title":"IEEE Trans. Syst. Man Cybern. Syst."},{"key":"10.1016\/j.cnsns.2026.109944_bib0022","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1016\/j.cnsns.2017.07.028","article-title":"Stabilizing constrained chaotic system using a symplectic psuedospectral method","volume":"56","author":"Peng","year":"2018","journal-title":"Commun Nonlinear Sci Numer Simul"},{"issue":"2","key":"10.1016\/j.cnsns.2026.109944_bib0023","doi-asserted-by":"crossref","first-page":"2755","DOI":"10.1109\/LRA.2022.3143301","article-title":"Safety embedded differential dynamic programming using discrete barrier states","volume":"7","author":"Almubarak","year":"2022","journal-title":"IEEE Rob Autom Lett"},{"key":"10.1016\/j.cnsns.2026.109944_bib0024","doi-asserted-by":"crossref","first-page":"1328","DOI":"10.1109\/LCSYS.2021.3093255","article-title":"Safety embedded control of nonlinear systems via barrier states","volume":"6","author":"Almubarak","year":"2021","journal-title":"IEEE Control Syst Lett"},{"issue":"2","key":"10.1016\/j.cnsns.2026.109944_bib0025","doi-asserted-by":"crossref","first-page":"530","DOI":"10.1109\/TCST.2019.2952317","article-title":"Control barrier functions for mechanical systems: theory and application to robotic grasping","volume":"29","author":"Cortez","year":"2019","journal-title":"IEEE Trans Control Syst Technol"},{"issue":"3","key":"10.1016\/j.cnsns.2026.109944_bib0026","doi-asserted-by":"crossref","first-page":"1031","DOI":"10.1109\/LCSYS.2020.3005923","article-title":"Robust adaptive control barrier functions: an adaptive and data-driven approach to safety","volume":"5","author":"Lopez","year":"2020","journal-title":"IEEE Control Syst Lett"},{"issue":"1","key":"10.1016\/j.cnsns.2026.109944_bib0027","doi-asserted-by":"crossref","first-page":"108","DOI":"10.1109\/LCSYS.2018.2853698","article-title":"Input-to-state safety with control barrier functions","volume":"3","author":"Kolathaya","year":"2018","journal-title":"IEEE Control Syst Lett"},{"key":"10.1016\/j.cnsns.2026.109944_bib0028","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1016\/j.automatica.2018.07.004","article-title":"Robust control barrier functions for constrained stabilization of nonlinear systems","volume":"96","author":"Jankovic","year":"2018","journal-title":"Automatica"},{"key":"10.1016\/j.cnsns.2026.109944_bib0029","series-title":"19th international conference on electrical engineering, computing science and automatic control (CCE)","first-page":"1","article-title":"Safe sliding mode control","author":"Gomez","year":"2022"},{"issue":"1","key":"10.1016\/j.cnsns.2026.109944_bib0030","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1109\/TAC.2023.3263076","article-title":"A barrier function-based second order sliding mode control with optimal reaching for full state and input constrained nonlinear systems","volume":"69","author":"Mousavi","year":"2024","journal-title":"IEEE Trans Automat Contr"},{"issue":"2","key":"10.1016\/j.cnsns.2026.109944_bib0031","doi-asserted-by":"crossref","first-page":"1615","DOI":"10.1016\/j.ifacol.2023.10.1863","article-title":"Sliding mode controllers design based on control Lyapunov functions for uncertain LTI systems","volume":"56","author":"Estrada","year":"2023","journal-title":"IFAC-PapersOnLine"},{"key":"10.1016\/j.cnsns.2026.109944_bib0032","series-title":"Sliding mode control and observation","volume":"vol. 10","author":"Shtessel","year":"2014"},{"key":"10.1016\/j.cnsns.2026.109944_bib0033","doi-asserted-by":"crossref","unstructured":"Gomez M.A., Cruz-Ancona C.D., Fridman L.. On the notion of safe sliding mode control. arXiv: 221201847, 2022b.","DOI":"10.1109\/CCE56709.2022.9976026"}],"container-title":["Communications in Nonlinear Science and Numerical Simulation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1007570426003035?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1007570426003035?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,5,26]],"date-time":"2026-05-26T23:04:56Z","timestamp":1779836696000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S1007570426003035"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,9]]},"references-count":33,"alternative-id":["S1007570426003035"],"URL":"https:\/\/doi.org\/10.1016\/j.cnsns.2026.109944","relation":{},"ISSN":["1007-5704"],"issn-type":[{"value":"1007-5704","type":"print"}],"subject":[],"published":{"date-parts":[[2026,9]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Constrained sliding mode control and synchronization of second-order uncertain chaotic systems","name":"articletitle","label":"Article Title"},{"value":"Communications in Nonlinear Science and Numerical Simulation","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.cnsns.2026.109944","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"109944"}}