{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T16:24:31Z","timestamp":1772295871819,"version":"3.50.1"},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2016,8,2]],"date-time":"2016-08-02T00:00:00Z","timestamp":1470096000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"MIUR Prin 10","award":["40102246"],"award-info":[{"award-number":["40102246"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Math. Control Signals Syst."],"published-print":{"date-parts":[[2016,9]]},"DOI":"10.1007\/s00498-016-0178-1","type":"journal-article","created":{"date-parts":[[2016,8,2]],"date-time":"2016-08-02T05:16:50Z","timestamp":1470115010000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Stochastic differential equations with variable structure driven by multiplicative Gaussian noise and sliding mode dynamic"],"prefix":"10.1007","volume":"28","author":[{"given":"Viorel","family":"Barbu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Stefano","family":"Bonaccorsi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8007-3119","authenticated-orcid":false,"given":"Luciano","family":"Tubaro","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,8,2]]},"reference":[{"key":"178_CR1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4419-5542-5","volume-title":"Nonlinear differential equations of monotone type in Banach spaces","author":"V Barbu","year":"2010","unstructured":"Barbu V (2010) Nonlinear differential equations of monotone type in Banach spaces. Springer, Berlin"},{"key":"178_CR2","doi-asserted-by":"crossref","first-page":"2","DOI":"10.1016\/j.jmaa.2010.07.016","volume":"384","author":"V Barbu","year":"2011","unstructured":"Barbu V (2011) A variational approach to stochastic nonlinear parabolic problems. J Math Anal Appl 384:2\u201315","journal-title":"J Math Anal Appl"},{"key":"178_CR3","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s10957-011-9946-8","volume":"153","author":"V Barbu","year":"2012","unstructured":"Barbu V (2012) Optimal control approach to nonlinear diffusion equations driven by Wiener noise. J Optim Theory Appl 153:1\u201326","journal-title":"J Optim Theory Appl"},{"issue":"12","key":"178_CR4","doi-asserted-by":"crossref","first-page":"7332","DOI":"10.1016\/j.jde.2015.08.023","volume":"259","author":"R Buckdahn","year":"2015","unstructured":"Buckdahn R, Maticiuc L, Pardoux E, Rascanu A (2015) Stochastic variational inequalities in non convex domains. J Differ Equ 259(12):7332\u20137374","journal-title":"J Differ Equ"},{"key":"178_CR5","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1080\/07362999408809361","volume":"12","author":"G Prato Da","year":"1994","unstructured":"Da Prato G, Frankowska H (1994) A stochastic Filippov theorem. Stochastic Anal Appl 12:409\u2013426","journal-title":"Stochastic Anal Appl"},{"key":"178_CR6","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781107295513","volume-title":"Stochastic equations in infinite dimensions","author":"G Prato Da","year":"2014","unstructured":"Da Prato G, Zabczyk J (2014) Stochastic equations in infinite dimensions, 2nd edn. Cambridge University Press, Cambridge","edition":"2"},{"issue":"5","key":"178_CR7","doi-asserted-by":"crossref","first-page":"3306","DOI":"10.1214\/12-AOP763","volume":"41","author":"G Prato Da","year":"2013","unstructured":"Da Prato G, Flandoli F, Priola E, R\u00f6ckner M (2013) Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift. Ann Probab 41(5):3306\u20133344","journal-title":"Ann Probab"},{"key":"178_CR8","unstructured":"Filippov AF (1960) Differential equations with discontinuous right-hand sides. Mat. Sbornik (N.S.) 51(93):99\u2013128 [Am Math Soc Transl 42:199\u2013231 (1964)]"},{"key":"178_CR9","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-015-7793-9","volume-title":"Differential equations with discontinuous righthand sides","author":"AF Filippov","year":"1988","unstructured":"Filippov AF (1988) Differential equations with discontinuous righthand sides. Kluwer Academic Publishers, Norwel"},{"issue":"2","key":"178_CR10","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1007\/BF01203833","volume":"105","author":"I Gy\u00f6ngy","year":"1996","unstructured":"Gy\u00f6ngy I, Krylov N (1996) Existence of strong solutions for It\u00f4\u2019s stochastic equations via approximations. Probab Theory Related Fields 105(2):143\u2013158","journal-title":"Probab Theory Related Fields"},{"issue":"4","key":"178_CR11","doi-asserted-by":"publisher","first-page":"666","DOI":"10.2514\/3.22105","volume":"21","author":"K-C Hsu","year":"1998","unstructured":"Hsu K-C (1998) Sliding mode controllers for uncertain systems with input nonlinearities. J Guid Control Dyn 21(4):666\u2013669. doi: 10.2514\/3.22105","journal-title":"J Guid Control Dyn"},{"key":"178_CR12","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1016\/j.na.2014.08.020","volume":"111","author":"A Rascanu","year":"2014","unstructured":"Rascanu A, Rotenstein E (2014) A non-convex setup for multivalued differential equations driven by oblique subgradients. Nonlinear Anal 111:82\u2013104","journal-title":"Nonlinear Anal"},{"issue":"1","key":"178_CR13","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1109\/TAC.2005.861716","volume":"51","author":"P Shi","year":"2006","unstructured":"Shi P, Xia Y, Liu GP, Rees D (2006) On designing of sliding-mode control for stochastic jump systems. IEEE Trans Autom Control 51(1):97\u2013103","journal-title":"IEEE Trans Autom Control"},{"issue":"9","key":"178_CR14","doi-asserted-by":"crossref","first-page":"2889","DOI":"10.3934\/dcdsb.2014.19.2889","volume":"19","author":"DJW Simpson","year":"2014","unstructured":"Simpson DJW, Kuske R (2014) Stochastically perturbed sliding motion in piecewise-smooth systems. Discrete Contin Dyn Syst Ser B 19(9):2889\u20132913","journal-title":"Discrete Contin Dyn Syst Ser B"},{"issue":"3","key":"178_CR15","first-page":"328","volume":"47","author":"V Utkin","year":"1999","unstructured":"Utkin V (1999) A control engineer\u2019s guide to sliding mode control. IEEE Trans Control Syst Technol 47(3):328\u2013342","journal-title":"IEEE Trans Control Syst Technol"},{"key":"178_CR16","doi-asserted-by":"crossref","first-page":"387","DOI":"10.1070\/SM1981v039n03ABEH001522","volume":"39","author":"AYu Veretennikov","year":"1981","unstructured":"Veretennikov AYu (1981) On strong solution and explicit formulas for solutions of stochastic integral equations. Math USSR Sbornik 39:387\u2013403","journal-title":"Math USSR Sbornik"},{"key":"178_CR17","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-61859-8","volume-title":"Functional analysis","author":"K Yosida","year":"1980","unstructured":"Yosida K (1980) Functional analysis. Springer, Berlin"}],"container-title":["Mathematics of Control, Signals, and Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00498-016-0178-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00498-016-0178-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00498-016-0178-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,24]],"date-time":"2017-06-24T15:43:49Z","timestamp":1498319029000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00498-016-0178-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,8,2]]},"references-count":17,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2016,9]]}},"alternative-id":["178"],"URL":"https:\/\/doi.org\/10.1007\/s00498-016-0178-1","relation":{},"ISSN":["0932-4194","1435-568X"],"issn-type":[{"value":"0932-4194","type":"print"},{"value":"1435-568X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,8,2]]},"article-number":"26"}}