{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,13]],"date-time":"2025-10-13T09:06:48Z","timestamp":1760346408644},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2015,1,17]],"date-time":"2015-01-17T00:00:00Z","timestamp":1421452800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Set-Valued Var. Anal"],"published-print":{"date-parts":[[2015,9]]},"DOI":"10.1007\/s11228-014-0315-2","type":"journal-article","created":{"date-parts":[[2015,1,16]],"date-time":"2015-01-16T02:47:48Z","timestamp":1421376468000},"page":"425-441","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Differential Inclusion Approach for Mixed Constrained Problems Revisited"],"prefix":"10.1007","volume":"23","author":[{"given":"MdR","family":"de Pinho","sequence":"first","affiliation":[]},{"given":"Igor","family":"Kornienko","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,1,17]]},"reference":[{"key":"315_CR1","doi-asserted-by":"crossref","first-page":"46","DOI":"10.3166\/ejc.17.46-54","volume":"17","author":"Z Artstein","year":"2011","unstructured":"Artstein, Z.: Pontryagin maximum principle revisited with feedbacks. Eur. J. Control. 17, 46\u201354 (2011)","journal-title":"Eur. J. Control."},{"key":"315_CR2","doi-asserted-by":"crossref","unstructured":"Aubin J.P., Cellina, A.: Differential inclusions: set valued maps and viability theory Springer-Verlag (1984)","DOI":"10.1007\/978-3-642-69512-4"},{"key":"315_CR3","volume-title":"Set valued analysis","author":"JP Aubin","year":"1990","unstructured":"Aubin, J.P., Frankowska, H.: Set valued analysis. Birkh\u00e4user, Boston (1990)"},{"key":"315_CR4","unstructured":"Biswas, Md.H.A., de Pinho, M.d.R.: A Maximum Principle for Optimal Control Problems with State and Mixed Constraints. ESAIM: Control, Optimisation and Calculus of Variations (to appear) (2014)"},{"key":"315_CR5","doi-asserted-by":"crossref","unstructured":"Berkovitz, L.D., Medhin, N.G.: Nonlinear optimal control theory. Chapman & Hall\/CRC Applied Mathematics & Nonlinear Science, Taylor & Francis (2012)","DOI":"10.1201\/b12739"},{"key":"315_CR6","unstructured":"Cesari, L.: Optimization-theory and applications: problems with ordinary differential equations Springer-Verlag (1983 )"},{"key":"315_CR7","doi-asserted-by":"crossref","first-page":"1078","DOI":"10.1137\/0314067","volume":"14","author":"F Clarke","year":"1976","unstructured":"Clarke, F.: The maximum principle under minimal hypotheses. SIAM J. Control Optim. 14, 1078\u20131091 (1976)","journal-title":"SIAM J. Control Optim."},{"key":"315_CR8","volume-title":"Optimization and Nonsmooth Analysis","author":"F Clarke","year":"1983","unstructured":"Clarke, F.: Optimization and Nonsmooth Analysis. John Wiley, New York (1983)"},{"key":"315_CR9","volume-title":"Nonsmooth Analysis and Control Theory","author":"F Clarke","year":"1998","unstructured":"Clarke, F., Ledyaev Yu, S., Stern, R.J., Wolenski, P.R.: Nonsmooth Analysis and Control Theory. Springer-Verlag, New York (1998)"},{"key":"315_CR10","doi-asserted-by":"crossref","unstructured":"Clarke F.: Necessary conditions in dynamic optimization. Mem. Amer. Math. Soc. (2005)","DOI":"10.1090\/memo\/0816"},{"key":"315_CR11","doi-asserted-by":"crossref","first-page":"4500","DOI":"10.1137\/090757642","volume":"48","author":"F Clarke","year":"2010","unstructured":"Clarke, F, de Pinho, M.d.R.: Optimal control problems with mixed constraints. SIAM J. Control Optim. 48, 4500\u20134524 (2010)","journal-title":"SIAM J. Control Optim."},{"key":"315_CR12","doi-asserted-by":"crossref","first-page":"599","DOI":"10.1137\/09078047X","volume":"49","author":"F Clarke","year":"2011","unstructured":"Clarke, F., Ledyaev, Y., de Pinho, M.d.R: An extension of the schwarzkopf multiplier rule in optimal control. SIAM J. Control Optim. 49, 599\u2013610 (2011)","journal-title":"SIAM J. Control Optim."},{"key":"315_CR13","doi-asserted-by":"crossref","unstructured":"Clarke, F.: Functional analysis. In: Calculus of variations and optimal control, Springer, Graduate Texts in Mathematics, Vol. 267. (2013)","DOI":"10.1007\/978-1-4471-4820-3_11"},{"key":"315_CR14","doi-asserted-by":"crossref","first-page":"614","DOI":"10.1051\/cocv:2005020","volume":"11","author":"MdR de Pinho","year":"2005","unstructured":"de Pinho, M.d.R., Ferreira, M.M., Fontes, F.A.C.C.: Unmaximized inclusion necessary conditions for nonconvex constrained optimal control problems. ESAIM Control Optim. Calc. Var 11, 614\u2013632 (2005)","journal-title":"ESAIM Control Optim. Calc. Var"},{"key":"315_CR15","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1007\/s002459900117","volume":"40","author":"EN Devdaryani","year":"1999","unstructured":"Devdaryani, E.N., Ledyaev, Y.S.: Maximum principle for implicit control systems. Appl Math. Optim. 40, 79\u2013103 (1999)","journal-title":"Appl Math. Optim."},{"key":"315_CR16","volume-title":"Real Analysis, Modern Techniques and Their Applications. Pure and Applied Mathematics","author":"GB Folland","year":"1999","unstructured":"Folland, G.B.: Real Analysis, Modern Techniques and Their Applications. Pure and Applied Mathematics. John Wiley & Sons, New York (1999)"},{"key":"315_CR17","unstructured":"Kornienko, I, de Pinho, MdR: Properties of control systems with mixed constraints in the form of inequalities. Internal Report, ISR, DEEC, FEUP (2013)"},{"issue":"2","key":"315_CR18","doi-asserted-by":"crossref","first-page":"442","DOI":"10.1137\/S0363012991217494","volume":"32","author":"P Loewen","year":"1994","unstructured":"Loewen, P, Rockafellar, R.T.: Optimal Control of Unbounded Differential Inclusions. SIAM J. Control Optim 32(2), 442\u2013470 (1994)","journal-title":"SIAM J. Control Optim"},{"key":"315_CR19","doi-asserted-by":"crossref","unstructured":"Macki, J., Strauss, A.: Introduction to Optimal Control Theory. Springer (1981)","DOI":"10.1007\/978-1-4612-5671-7"},{"key":"315_CR20","doi-asserted-by":"crossref","DOI":"10.1007\/3-540-31246-3","volume-title":"Variational analysis and generalized differentiation. Vol. 1, 2. Fundamental Principles of Mathematical Sciences 330 and 331","author":"B Mordukhovich","year":"2006","unstructured":"Mordukhovich, B.: Variational analysis and generalized differentiation. Vol. 1, 2. Fundamental Principles of Mathematical Sciences 330 and 331. Springer-Verlag, Berlin (2006)"},{"key":"315_CR21","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-02431-3","volume-title":"Variational Analysis, Grundlehren Math. Wiss. 317","author":"RT Rockafellar","year":"1998","unstructured":"Rockafellar, R.T., Wets, B.: Variational Analysis, Grundlehren Math. Wiss. 317. Springer-Verlag, Berlin (1998)"},{"key":"315_CR22","doi-asserted-by":"crossref","unstructured":"Smirnov, G.V.: Introduction to the Theory of Differential Inclusions, American Mathematical Soc (2002)","DOI":"10.1090\/gsm\/041"},{"key":"315_CR23","volume-title":"Optimal Control","author":"R Vinter","year":"2000","unstructured":"Vinter, R.: Optimal Control. Birkh\u00e4user, Boston (2000)"}],"container-title":["Set-Valued and Variational Analysis"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11228-014-0315-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11228-014-0315-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11228-014-0315-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,19]],"date-time":"2019-08-19T15:34:16Z","timestamp":1566228856000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11228-014-0315-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,1,17]]},"references-count":23,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2015,9]]}},"alternative-id":["315"],"URL":"https:\/\/doi.org\/10.1007\/s11228-014-0315-2","relation":{},"ISSN":["1877-0533","1877-0541"],"issn-type":[{"value":"1877-0533","type":"print"},{"value":"1877-0541","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,1,17]]}}}