Aubin, Jean-Pierre; Dordan, Olivier A survey on Galois stratifications and measures of viability risk. (English) Zbl 1355.49013 J. Convex Anal. 23, No. 1, 181-225 (2016). MSC: 49J53 49-02 93B03 34A60 49J27 37B55 28B20 45N05 PDFBibTeX XMLCite \textit{J.-P. Aubin} and \textit{O. Dordan}, J. Convex Anal. 23, No. 1, 181--225 (2016; Zbl 1355.49013) Full Text: Link
Aubin, Jean-Pierre; Chen, Luxi; Dordan, Olivier Retrospective-prospective differential inclusions and their Control by the differential connection tensors of their evolutions: the trendometer. (English) Zbl 1357.49069 Complex Syst. 23, No. 2, 117-148 (2014). MSC: 49J53 34A60 49J21 PDFBibTeX XMLCite \textit{J.-P. Aubin} et al., Complex Syst. 23, No. 2, 117--148 (2014; Zbl 1357.49069)
Aubin, Jean-Pierre Chaperoning state evolutions by variable durations. (English) Zbl 1357.49109 SIAM J. Control Optim. 51, No. 3, 2081-2101 (2013). MSC: 49L20 49J53 90B20 49L25 PDFBibTeX XMLCite \textit{J.-P. Aubin}, SIAM J. Control Optim. 51, No. 3, 2081--2101 (2013; Zbl 1357.49109) Full Text: DOI
Aubin, Jean-Pierre Viability solutions to structured Hamilton-Jacobi equations under constraints. (English) Zbl 1239.49003 SIAM J. Control Optim. 49, No. 5, 1881-1915 (2011). MSC: 49J20 49L25 90B20 58C06 PDFBibTeX XMLCite \textit{J.-P. Aubin}, SIAM J. Control Optim. 49, No. 5, 1881--1915 (2011; Zbl 1239.49003) Full Text: DOI
Aubin, Jean-Pierre Macroscopic traffic models: shifting from densities to “celerities”. (English) Zbl 1198.90081 Appl. Math. Comput. 217, No. 3, 963-971 (2010). MSC: 90B20 49N90 PDFBibTeX XMLCite \textit{J.-P. Aubin}, Appl. Math. Comput. 217, No. 3, 963--971 (2010; Zbl 1198.90081) Full Text: DOI
Aubin, Jean-Pierre; Bayen, Alexandre M.; Saint-Pierre, Patrick Dirichlet problems for some Hamilton-Jacobi equations with inequality constraints. (English) Zbl 1171.49005 SIAM J. Control Optim. 47, No. 5, 2348-2380 (2008). MSC: 49J24 49L25 90B20 58C06 93A30 PDFBibTeX XMLCite \textit{J.-P. Aubin} et al., SIAM J. Control Optim. 47, No. 5, 2348--2380 (2008; Zbl 1171.49005) Full Text: DOI
Aubin, Jean-Pierre Boundary-value problems for systems of Hamilton-Jacobi-Bellman inclusions with constraints. (English) Zbl 1043.49029 Iannelli, Mimmo (ed.) et al., Evolution equations: applications to physics, industry, life sciences and economics. Proceedings of the 7th international conference on evolution equations and their applications, EVEQ2000 conference, Levico Terme, Italy, October 30–November 4, 2000. Basel: Birkhäuser (ISBN 3-7643-0374-3/hbk). Prog. Nonlinear Differ. Equ. Appl. 55, 25-60 (2003). Reviewer: Valerii V. Obukhovskij (Voronezh) MSC: 49L25 49J24 35R70 PDFBibTeX XMLCite \textit{J.-P. Aubin}, Prog. Nonlinear Differ. Equ. Appl. 55, 25--60 (2003; Zbl 1043.49029)
Aubin, Jean-Pierre; Dordan, Olivier Dynamical qualitative analysis of evolutionary systems. (English) Zbl 1059.49006 Tomlin, Claire J. (ed.) et al., Hybrid systems: computation and control. 5th international workshop, HSCC 2002, Stanford, CA, USA, March 25–27, 2002. Proceedings. Berlin: Springer (ISBN 3-540-43321-X). Lect. Notes Comput. Sci. 2289, 62-75 (2002). Reviewer: Marc Quincampoix (Brest) MSC: 49J24 34G25 34K45 PDFBibTeX XMLCite \textit{J.-P. Aubin} and \textit{O. Dordan}, Lect. Notes Comput. Sci. 2289, 62--75 (2002; Zbl 1059.49006) Full Text: Link
Aubin, J.-P.; Haddad, G. History path dependent optimal control and portfolio valuation and management. (English) Zbl 1031.93092 Positivity 6, No. 3, 331-358 (2002). Reviewer: Anatoliy Swishchuk (Kyïv) MSC: 93C10 93C15 91G10 49J24 49L20 PDFBibTeX XMLCite \textit{J. P. Aubin} and \textit{G. Haddad}, Positivity 6, No. 3, 331--358 (2002; Zbl 1031.93092) Full Text: DOI
Aubin, Jean-Pierre Boundary-value problems for systems of Hamilton–Jacobi–Bellman inclusions with constraints. (English) Zbl 1025.49017 SIAM J. Control Optimization 41, No. 2, 425-456 (2002). Reviewer: Marc Quincampoix (Brest) MSC: 49L20 49J24 35R70 49J53 49K24 49L25 PDFBibTeX XMLCite \textit{J.-P. Aubin}, SIAM J. Control Optim. 41, No. 2, 425--456 (2002; Zbl 1025.49017) Full Text: DOI
Aubin, Jean-Pierre; Haddad, George Path-dependent impulse and hybrid systems. (English) Zbl 0995.49019 Di Benedetto, Maria Domenica (ed.) et al., Hybrid systems: Computation and control. 4th international workshop, HSCC 2001, Rome, Italy, March 28-30, 2001. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 2034, 119-132 (2002). MSC: 49N25 49J24 93C20 35R30 PDFBibTeX XMLCite \textit{J.-P. Aubin} and \textit{G. Haddad}, Lect. Notes Comput. Sci. 2034, 119--132 (2002; Zbl 0995.49019) Full Text: Link
Aubin, Jean-Pierre The substratum of impulse and hybrid control systems. (English) Zbl 0995.49020 Di Benedetto, Maria Domenica (ed.) et al., Hybrid systems: Computation and control. 4th international workshop, HSCC 2001, Rome, Italy, March 28-30, 2001. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 2034, 105-118 (2002). MSC: 49N25 49J24 93C20 35R30 PDFBibTeX XMLCite \textit{J.-P. Aubin}, Lect. Notes Comput. Sci. 2034, 105--118 (2002; Zbl 0995.49020) Full Text: Link
Aubin, Jean-Pierre Viability kernels and capture basins of sets under differential inclusions. (English) Zbl 1025.49016 SIAM J. Control Optimization 40, No. 3, 853-881 (2001). Reviewer: Marc Quincampoix (Brest) MSC: 49L20 49J24 35R70 49K24 49L25 PDFBibTeX XMLCite \textit{J.-P. Aubin}, SIAM J. Control Optim. 40, No. 3, 853--881 (2001; Zbl 1025.49016) Full Text: DOI
Aubin, Jean-Pierre; da Prato, Giuseppe; Frankowska, Hélène Stochastic invariance for differential inclusions. (English) Zbl 0976.49016 Set-Valued Anal. 8, No. 1-2, 181-201 (2000). Reviewer: Jean-Pierre Lepeltier (Le Mans) MSC: 49K24 93E03 49J53 34A60 34F05 49K45 PDFBibTeX XMLCite \textit{J.-P. Aubin} et al., Set-Valued Anal. 8, No. 1--2, 181--201 (2000; Zbl 0976.49016) Full Text: DOI
Aubin, Jean-Pierre; Frankowska, Hélène Introduction: Set-valued analysis in control theory. (English) Zbl 0962.49001 Set-Valued Anal. 8, No. 1-2, 1-9 (2000). MSC: 49-06 93-06 49J53 PDFBibTeX XMLCite \textit{J.-P. Aubin} and \textit{H. Frankowska}, Set-Valued Anal. 8, No. 1--2, 1--9 (2000; Zbl 0962.49001) Full Text: DOI EuDML
Aubin, Jean-Pierre The method of characteristics revisited. A viability approach. arXiv:math/9906178 Preprint, arXiv:math/9906178 [math.DS] (1999). MSC: 34K35 34C35 49L05 49L25 70H20 BibTeX Cite \textit{J.-P. Aubin}, ``The method of characteristics revisited. A viability approach'', Preprint, arXiv:math/9906178 [math.DS] (1999) Full Text: arXiv
Aubin, Jean-Pierre; Da Prato, Giuseppe The viability theorem for stochastic differential inclusions. (English) Zbl 0931.60059 Stochastic Anal. Appl. 16, No. 1, 1-15 (1998). MSC: 60H99 93E20 PDFBibTeX XMLCite \textit{J.-P. Aubin} and \textit{G. Da Prato}, Stochastic Anal. Appl. 16, No. 1, 1--15 (1998; Zbl 0931.60059) Full Text: DOI
Aubin, Jean-Pierre; Frankowska, Hélène The viability kernel algorithm for computing value functions of infinite horizon optimal control problems. (English) Zbl 0862.65039 J. Math. Anal. Appl. 201, No. 2, 555-576 (1996). Reviewer: J.Vaníček (Praha) MSC: 65K10 49K45 49K15 49K40 93E20 93C42 PDFBibTeX XMLCite \textit{J.-P. Aubin} and \textit{H. Frankowska}, J. Math. Anal. Appl. 201, No. 2, 555--576 (1996; Zbl 0862.65039) Full Text: DOI Link
Aubin, Jean-Pierre; Frankowska, Hélène Set-valued analysis, viability theory and partial differential inclusions. (English) Zbl 0857.49002 Lakshmikantham, V. (ed.), World congress of nonlinear analysis ’92. Proceedings of the first world congress, Tampa, FL, USA, August 19-26, 1992. 4 volumes. Berlin: de Gruyter. 1039-1058 (1996). Reviewer: M.Quincampoix (Brest) MSC: 49J20 93C20 49N35 PDFBibTeX XMLCite \textit{J.-P. Aubin} and \textit{H. Frankowska}, in: World congress of nonlinear analysts '92. Proceedings of the first world congress, Tampa, FL, USA, August 19-26, 1992. 4 volumes. Berlin: de Gruyter. 1039--1058 (1996; Zbl 0857.49002)
Aubin, Jean-Pierre; Frankowska, Hélène Partial differential inclusions governing feedback controls. (English) Zbl 0840.93041 J. Convex Anal. 2, No. 1-2, 19-40 (1995). Reviewer: M.Quincampoix (Paris) MSC: 93B52 49J25 35D99 PDFBibTeX XMLCite \textit{J.-P. Aubin} and \textit{H. Frankowska}, J. Convex Anal. 2, No. 1--2, 19--40 (1995; Zbl 0840.93041) Full Text: EuDML EMIS
Aubin, Jean-Pierre; Frankowska, Hélène Hyperbolic systems of partial differential inclusions. (English) Zbl 0754.49005 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 18, No. 4, 541-562 (1991). Reviewer: J.-P.Aubin MSC: 49J24 35L40 49J20 49J52 PDFBibTeX XMLCite \textit{J.-P. Aubin} and \textit{H. Frankowska}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 18, No. 4, 541--562 (1991; Zbl 0754.49005) Full Text: Numdam EuDML
Aubin, Jean-Pierre Differential games: A viability approach. (English) Zbl 0726.90105 SIAM J. Control Optimization 28, No. 6, 1294-1320 (1990). Reviewer: L.Zaremba (Ann Arbor) MSC: 91A23 35D05 49J20 49J24 91A24 49L99 PDFBibTeX XMLCite \textit{J.-P. Aubin}, SIAM J. Control Optim. 28, No. 6, 1294--1320 (1990; Zbl 0726.90105) Full Text: DOI
Aubin, Jean-Pierre; Frankowska, Hélène Inclusions aux dérivées partielles gouvernant des contrôles de rétroaction. (Partial differential inclusions governing feedback controls). (French) Zbl 0722.93034 C. R. Acad. Sci., Paris, Sér. I 311, No. 13, 851-856 (1990). MSC: 93C20 49J20 PDFBibTeX XMLCite \textit{J.-P. Aubin} and \textit{H. Frankowska}, C. R. Acad. Sci., Paris, Sér. I 311, No. 13, 851--856 (1990; Zbl 0722.93034)
Aubin, Jean Pierre Viabilitz tubes. (English) Zbl 0900.49006 Modelling and adaptive control, Proc. IIASA Conf., Sopron/Hung. 1986, Lect. Notes Control Inst. Sci. 105, 27-47 (1988). MSC: 49J24 49J45 34A60 PDFBibTeX XMLCite \textit{J. P. Aubin}, in: Modelling and adaptive control, Proc. IIASA Conf., Sopron/Hung. 1986, Lect. Notes Control Inst. Sci. 105, . 27--47 (1988; Zbl 0900.49006)
Aubin, Jean-Pierre [Cornet, Bernard; Lasry, Jean-Michel] Analyse fonctionnelle appliquée. Tomes 1, 2. Exercises rédigés par Bernard Cornet et Jean-Michel Lasry. (Traduction d’anglais). Mathématiques. (French) Zbl 0654.46001 Paris: Presses Universitaires de France. Tome 1: 241 p.; Tome 2: XIII, pp. 243-465 (1987). Reviewer: J.Lorenz MSC: 46-01 47-01 46E35 46C05 35-01 47A10 35J25 PDFBibTeX XML
Aubin, Jean-Pierre; Frankowska, Halina Trajectoires lourdes de systèmes contrôlés. (French) Zbl 0561.49011 C. R. Acad. Sci., Paris, Sér. I 298, 521-524 (1984). Reviewer: K.Zimmermann MSC: 49J30 49J15 93C10 93C15 PDFBibTeX XMLCite \textit{J.-P. Aubin} and \textit{H. Frankowska}, C. R. Acad. Sci., Paris, Sér. I 298, 521--524 (1984; Zbl 0561.49011)
Aubin, Jean-Pierre Heavy viable trajectories of a decentralized allocation mechanism. (English) Zbl 0554.90020 Analysis and optimization of systems, Proc. 6th int. Conf., Nice 1984, Part 1, Lect. Notes Control Inf. Sci. 62, 487-501 (1984). Reviewer: M.Simaan MSC: 91B62 49J30 93D15 91B24 49J15 93C15 PDFBibTeX XML
Aubin, J. P. Variational principles for differential equations of elliptic, parabolic and hyperbolic type. (English) Zbl 0481.49008 Mathematical techniques of optimization, control and decision, Ann. CEREMADE 1, 31-45 (1981). MSC: 49J20 49J27 49J45 58C20 58E30 37J99 PDFBibTeX XML
Aubin, Jean-Pierre Mathematical methods of game and economic theory. (English) Zbl 0452.90093 Studies in Mathematics and its Applications, Vol. 7. Amsterdam, New York, Oxford: North-Holland Publishing Company. XXXII, 619 p. $ 109.75; Dfl. 225.00 (1979). MSC: 91Axx 91-02 91B50 46A03 46B99 46C99 49N15 91A99 49J27 54H25 PDFBibTeX XML
Aubin, Jean-Pierre Applied functional analysis. Exercises by Bernard Cornet and Jean-Michel Lasry. Transl. by Carole Labrousse. (English) Zbl 0424.46001 Pure and Applied Mathematics. A Wiley-Interscience Publication. New York etc.: John Wiley & Sons. XVI, 423 p. £16.50 (1979). MSC: 46-01 46C05 46F05 46E30 46M05 47B10 47D03 47H10 PDFBibTeX XML
Aubin, Jean Pierre Characterization of the sets of constraints for which the necessary conditions for optimization problems hold. (English) Zbl 0223.49015 SIAM J. Control 8, 148-162 (1970). MSC: 49K20 49K27 49N05 PDFBibTeX XMLCite \textit{J. P. Aubin}, SIAM J. Control 8, 148--162 (1970; Zbl 0223.49015) Full Text: DOI