Flayac, Emilien; Dahia, Karim; Hérissé, Bruno; Jean, Frédéric A unifying vision of Particle Filtering and Explicit dual Model Predictive Control. arXiv:2303.14155 Preprint, arXiv:2303.14155 [math.OC] (2023). BibTeX Cite \textit{E. Flayac} et al., ``A unifying vision of Particle Filtering and Explicit dual Model Predictive Control'', Preprint, arXiv:2303.14155 [math.OC] (2023) Full Text: arXiv OA License
Flayac, Emilien; Dahia, Karim; Hérissé, Bruno; Jean, Frédéric Nonlinear Fisher Particle Output Feedback Control and its application to Terrain Aided Navigation. arXiv:2303.14098 Preprint, arXiv:2303.14098 [math.OC] (2023). BibTeX Cite \textit{E. Flayac} et al., ``Nonlinear Fisher Particle Output Feedback Control and its application to Terrain Aided Navigation'', Preprint, arXiv:2303.14098 [math.OC] (2023) Full Text: DOI arXiv OA License
Flayac, Emilien; Dahia, Karim; Hérissé, Bruno; Jean, Frédéric Dual Particle Output Feedback Control based on Lyapunov drifts for nonlinear syst. arXiv:2303.14094 Preprint, arXiv:2303.14094 [math.OC] (2023). BibTeX Cite \textit{E. Flayac} et al., ``Dual Particle Output Feedback Control based on Lyapunov drifts for nonlinear syst'', Preprint, arXiv:2303.14094 [math.OC] (2023) Full Text: DOI arXiv OA License
Leparoux, Clara; Bonalli, Riccardo; Hérissé, Bruno; Jean, Frédéric Statistical Linearization for Robust Motion Planning. arXiv:2303.01288 Preprint, arXiv:2303.01288 [math.OC] (2023). BibTeX Cite \textit{C. Leparoux} et al., ``Statistical Linearization for Robust Motion Planning'', Preprint, arXiv:2303.01288 [math.OC] (2023) Full Text: arXiv OA License
Leparoux, Clara; Hérissé, Bruno; Jean, Frédéric Structure of optimal control for planetary landing with control and state constraints. (English) Zbl 1503.49007 ESAIM, Control Optim. Calc. Var. 28, Paper No. 67, 22 p. (2022). MSC: 49J35 49K35 49N60 49K15 49N90 PDFBibTeX XMLCite \textit{C. Leparoux} et al., ESAIM, Control Optim. Calc. Var. 28, Paper No. 67, 22 p. (2022; Zbl 1503.49007) Full Text: DOI arXiv
Kafnemer, Meryem; Mebkhout, Benmiloud; Jean, Frédéric; Chitour, Yacine \(L^{p}\)-asymptotic stability of 1D damped wave equations with localized and linear damping. (English) Zbl 1482.93492 ESAIM, Control Optim. Calc. Var. 28, Paper No. 1, 32 p. (2022). MSC: 93D20 93D23 93C20 35L05 PDFBibTeX XMLCite \textit{M. Kafnemer} et al., ESAIM, Control Optim. Calc. Var. 28, Paper No. 1, 32 p. (2022; Zbl 1482.93492) Full Text: DOI arXiv
Bonalli, Riccardo; Leparoux, Clara; Hérissé, Bruno; Jean, Frédéric On the Accessibility and Controllability of Statistical Linearization for Stochastic Control: Algebraic Rank Conditions and their Genericity. arXiv:2207.10944 Preprint, arXiv:2207.10944 [math.OC] (2022). BibTeX Cite \textit{R. Bonalli} et al., ``On the Accessibility and Controllability of Statistical Linearization for Stochastic Control: Algebraic Rank Conditions and their Genericity'', Preprint, arXiv:2207.10944 [math.OC] (2022) Full Text: arXiv OA License
Jean, Frédéric; Maslovskaya, Sofya; Zelenko, Igor On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry. (English) Zbl 1469.53073 Geom. Dedicata 213, 295-314 (2021). MSC: 53C17 53A20 53C18 PDFBibTeX XMLCite \textit{F. Jean} et al., Geom. Dedicata 213, 295--314 (2021; Zbl 1469.53073) Full Text: DOI arXiv
Giraldi, Laetitia; Jean, Frédéric Periodical body deformations are optimal strategies for locomotion. (English) Zbl 1451.74170 SIAM J. Control Optim. 58, No. 3, 1700-1714 (2020). MSC: 74L15 74M05 92C10 93C95 PDFBibTeX XMLCite \textit{L. Giraldi} and \textit{F. Jean}, SIAM J. Control Optim. 58, No. 3, 1700--1714 (2020; Zbl 1451.74170) Full Text: DOI
Berret, Bastien; Jean, Frédéric Efficient computation of optimal open-loop controls for stochastic systems. (English) Zbl 1436.93143 Automatica 115, Article ID 108874, 9 p. (2020). MSC: 93E20 92C20 PDFBibTeX XMLCite \textit{B. Berret} and \textit{F. Jean}, Automatica 115, Article ID 108874, 9 p. (2020; Zbl 1436.93143) Full Text: DOI Link
Barilari, Davide; Chitour, Yacine; Jean, Frederic; Prandi, Dario; Sigalotti, Mario On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures. (English) Zbl 1434.53033 J. Math. Pures Appl. (9) 133, 118-138 (2020). Reviewer: Peibiao Zhao (Nanjing) MSC: 53C17 49J15 53C22 PDFBibTeX XMLCite \textit{D. Barilari} et al., J. Math. Pures Appl. (9) 133, 118--138 (2020; Zbl 1434.53033) Full Text: DOI arXiv
Jean, Frédéric; Maslovskaya, Sofya; Zelenko, Igor On projective and affine equivalence of sub-Riemannian metrics. (English) Zbl 1475.53035 Geom. Dedicata 203, 279-319 (2019). Reviewer: Liviu Popescu (Craiova) MSC: 53C17 53B05 53B10 PDFBibTeX XMLCite \textit{F. Jean} et al., Geom. Dedicata 203, 279--319 (2019; Zbl 1475.53035) Full Text: DOI arXiv
Chitour, Yacine; Grong, Erlend; Jean, Frédéric; Kokkonen, Petri Horizontal holonomy and foliated manifolds. (Holonomie horizontale et variétés feuilletées.) (English. French summary) Zbl 1422.53038 Ann. Inst. Fourier 69, No. 3, 1047-1086 (2019). Reviewer: James Hebda (St. Louis) MSC: 53C29 53C05 53C12 57R30 PDFBibTeX XMLCite \textit{Y. Chitour} et al., Ann. Inst. Fourier 69, No. 3, 1047--1086 (2019; Zbl 1422.53038) Full Text: DOI arXiv
Ghezzi, Roberta; Jean, Frédéric On measures in sub-Riemannian geometry. (English) Zbl 1508.53039 Actes de séminaire de théorie spectrale et géométrie. Année 2015–2016. St. Martin d’Hères: Université de Grenoble I, Institut Fourier. Sémin. Théor. Spectr. Géom. 33, 17-46 (2016). MSC: 53C17 28A78 PDFBibTeX XMLCite \textit{R. Ghezzi} and \textit{F. Jean}, Sémin. Théor. Spectr. Géom. 33, 17--46 (2016; Zbl 1508.53039) Full Text: DOI arXiv
Arber, Christian; Pansu, Pierre; Jean, Frédéric; Petit, Nicolas Mathematics in the socioeconomic world. (Des mathématiques au monde socio-économique.) (French) Zbl 1457.00001 SMF Journée Annuelle 2015. Paris: Société Mathématique de France (ISBN 978-2-85629-813-8/pbk). 45 p. (2015). MSC: 00A05 01A80 PDFBibTeX XMLCite \textit{C. Arber} et al., Des mathématiques au monde socio-économique. Paris: Société Mathématique de France (2015; Zbl 1457.00001)
Jean, F.; Prandi, D. Complexity of control-affine motion planning. (English) Zbl 1356.53037 SIAM J. Control Optim. 53, No. 2, 816-844 (2015). MSC: 53C17 93C15 PDFBibTeX XMLCite \textit{F. Jean} and \textit{D. Prandi}, SIAM J. Control Optim. 53, No. 2, 816--844 (2015; Zbl 1356.53037) Full Text: DOI arXiv
Ghezzi, R.; Jean, F. Hausdorff volume in non equiregular sub-Riemannian manifolds. (English) Zbl 1325.53039 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 126, 345-377 (2015). Reviewer: rough MSC: 53C17 28A78 28A80 58C35 28C15 28A75 49Q15 PDFBibTeX XMLCite \textit{R. Ghezzi} and \textit{F. Jean}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 126, 345--377 (2015; Zbl 1325.53039) Full Text: DOI arXiv
Jean, Frédéric Control of nonholonomic systems: from sub-Riemannian geometry to motion planning. (English) Zbl 1309.93002 SpringerBriefs in Mathematics; BCAM SpringerBriefs. Cham: Springer; Bilbao: BCAM – Basque Center for Applied Mathematics (ISBN 978-3-319-08689-7/pbk; 978-3-319-08690-3/ebook). x, 104 p. (2014). Reviewer: Anna Maria Perdon (Ancona) MSC: 93-02 93C25 53C17 93C85 53B21 93B27 68T40 PDFBibTeX XMLCite \textit{F. Jean}, Control of nonholonomic systems: from sub-Riemannian geometry to motion planning. Cham: Springer; Bilbao: BCAM -- Basque Center for Applied Mathematics (2014; Zbl 1309.93002) Full Text: DOI HAL
Ghezzi, Roberta; Jean, Frédéric Hausdorff measures and dimensions in non equiregular sub-Riemannian manifolds. (English) Zbl 1294.53030 Stefani, Gianna (ed.) et al., Geometric control theory and sub-Riemannian geometry. Proceedings of the meeting on geometric control theory and sub-Riemannian geometry, dedicated to Andrei A. Agrachev on the occasion of his 60th birthday, Cortona, Italy, May 21–25, 2012. Cham: Springer (ISBN 978-3-319-02131-7/hbk; 978-3-319-02132-4/ebook). Springer INdAM Series 5, 201-218 (2014). MSC: 53C17 28C15 PDFBibTeX XMLCite \textit{R. Ghezzi} and \textit{F. Jean}, Springer INdAM Ser. 5, 201--218 (2014; Zbl 1294.53030) Full Text: DOI arXiv
Chittaro, F. C.; Jean, F.; Mason, P. On inverse optimal control problems of human locomotion: stability and robustness of the minimizers. (English. Russian original) Zbl 1282.93036 J. Math. Sci., New York 195, No. 3, 269-287 (2013); translation from Sovrem. Mat. Prilozh. 82 (2012). MSC: 93A30 93B35 49N45 49K40 49N10 49N90 PDFBibTeX XMLCite \textit{F. C. Chittaro} et al., J. Math. Sci., New York 195, No. 3, 269--287 (2013; Zbl 1282.93036); translation from Sovrem. Mat. Prilozh. 82 (2012) Full Text: DOI
Ghezzi, Roberta; Jean, Frédéric A new class of \((\mathcal H^k, 1)\)-rectifiable subsets of metric spaces. (English) Zbl 1268.28005 Commun. Pure Appl. Anal. 12, No. 2, 881-898 (2013). MSC: 28A78 30L99 53C17 PDFBibTeX XMLCite \textit{R. Ghezzi} and \textit{F. Jean}, Commun. Pure Appl. Anal. 12, No. 2, 881--898 (2013; Zbl 1268.28005) Full Text: DOI arXiv
Chitour, Yacine; Jean, Frédéric; Long, Ruixing A global steering method for nonholonomic systems. (English) Zbl 1258.93056 J. Differ. Equations 254, No. 4, 1903-1956 (2013). MSC: 93B40 93C15 93B27 PDFBibTeX XMLCite \textit{Y. Chitour} et al., J. Differ. Equations 254, No. 4, 1903--1956 (2013; Zbl 1258.93056) Full Text: DOI arXiv
Chitour, Yacine; Jean, Frédéric; Mason, Paolo Optimal control models of goal-oriented human locomotion. (English) Zbl 1244.49033 SIAM J. Control Optim. 50, No. 1, 147-170 (2012). MSC: 49K15 93A30 93C10 49N35 PDFBibTeX XMLCite \textit{Y. Chitour} et al., SIAM J. Control Optim. 50, No. 1, 147--170 (2012; Zbl 1244.49033) Full Text: DOI arXiv
Jean, Frederic Control of Nonholonomic Systems and Sub-Riemannian Geometry. arXiv:1209.4387 Preprint, arXiv:1209.4387 [math.OC] (2012). BibTeX Cite \textit{F. Jean}, ``Control of Nonholonomic Systems and Sub-Riemannian Geometry'', Preprint, arXiv:1209.4387 [math.OC] (2012) Full Text: arXiv OA License
Gauthier, Jean-Paul; Berret, Bastien; Jean, Frédéric A biomechanical inactivation principle. (English) Zbl 1218.92012 Proc. Steklov Inst. Math. 268, 93-116 (2010) and Trudy Mat. Inst. Steklova 268, 100-123 (2010). Reviewer: Yuri V. Rogovchenko (Umeå) MSC: 92C10 49J15 49N90 PDFBibTeX XMLCite \textit{J.-P. Gauthier} et al., Proc. Steklov Inst. Math. 268, 93--116 (2010; Zbl 1218.92012) Full Text: DOI
Jean, Frédéric; Albu, Alexandra Branzan; Bergevin, Robert Towards view-invariant gait modeling: computing view-normalized body part trajectories. (English) Zbl 1175.68362 Pattern Recognition 42, No. 11, 2936-2949 (2009). MSC: 68T10 68T45 68U10 PDFBibTeX XMLCite \textit{F. Jean} et al., Pattern Recognition 42, No. 11, 2936--2949 (2009; Zbl 1175.68362) Full Text: DOI
Chitour, Yacine; Jean, Frédéric; Trélat, Emmanuel Singular trajectories of control-affine systems. (English) Zbl 1157.49041 SIAM J. Control Optim. 47, No. 2, 1078-1095 (2008). MSC: 49N90 37C20 93C10 58E25 53C17 PDFBibTeX XMLCite \textit{Y. Chitour} et al., SIAM J. Control Optim. 47, No. 2, 1078--1095 (2008; Zbl 1157.49041) Full Text: DOI arXiv
Chitour, Y.; Jean, F.; Trélat, E. Genericity results for singular curves. (English) Zbl 1102.53019 J. Differ. Geom. 73, No. 1, 45-73 (2006). Reviewer: Adrian Sandovici (Piatra Neamt) MSC: 53C17 58A30 PDFBibTeX XMLCite \textit{Y. Chitour} et al., J. Differ. Geom. 73, No. 1, 45--73 (2006; Zbl 1102.53019) Full Text: DOI
Vendittelli, Marilena; Oriolo, Giuseppe; Jean, Frédéric; Laumond, Jean-Paul Nonhomogeneous nilpotent approximations for nonholonomic systems with singularities. (English) Zbl 1365.93035 IEEE Trans. Autom. Control 49, No. 2, 261-266 (2004). MSC: 93A30 93B30 PDFBibTeX XMLCite \textit{M. Vendittelli} et al., IEEE Trans. Autom. Control 49, No. 2, 261--266 (2004; Zbl 1365.93035) Full Text: DOI
Falbel, Elisha; Jean, Frédéric Measures of transverse paths in sub-Riemannian geometry. (English) Zbl 1073.53046 J. Anal. Math. 91, 231-246 (2003). Reviewer: Adrian Sandovici (Groningen) MSC: 53C17 53C25 PDFBibTeX XMLCite \textit{E. Falbel} and \textit{F. Jean}, J. Anal. Math. 91, 231--246 (2003; Zbl 1073.53046) Full Text: DOI
Chitour, Yacine; Jean, Frédéric; Trélat, Emmanuel Generic properties of singular trajectories. (Propriétés génériques des trajectoires singulières.) (French) Zbl 1038.58019 C. R., Math., Acad. Sci. Paris 337, No. 1, 49-52 (2003). MSC: 58E25 53C17 93C10 PDFBibTeX XMLCite \textit{Y. Chitour} et al., C. R., Math., Acad. Sci. Paris 337, No. 1, 49--52 (2003; Zbl 1038.58019) Full Text: DOI
Jean, Frédéric Entropy and complexity of a path in sub-Riemannian geometry. (English) Zbl 1075.53026 ESAIM, Control Optim. Calc. Var. 9, 485-508 (2003). MSC: 53C17 37J60 70E60 93B29 PDFBibTeX XMLCite \textit{F. Jean}, ESAIM, Control Optim. Calc. Var. 9, 485--508 (2003; Zbl 1075.53026) Full Text: DOI Numdam EuDML
Jean, Frédéric Paths in sub-Riemannian geometry. (English) Zbl 1239.53044 Isidori, Alberto (ed.) et al., Nonlinear control in the year 2000. Vol. 1. Papers from the 2nd workshop of the nonlinear control network, Paris, France, June 5–9, 2000. London: Springer (ISBN 1-85233-363-4). Lect. Notes Control Inf. Sci. 258, 569-574 (2001). MSC: 53C17 PDFBibTeX XMLCite \textit{F. Jean}, Lect. Notes Control Inf. Sci. 258, 569--574 (2001; Zbl 1239.53044) Full Text: DOI
Jean, Frédéric Uniform estimation of sub-Riemannian balls. (English) Zbl 1029.53039 J. Dyn. Control Syst. 7, No. 4, 473-500 (2001). Reviewer: Ilie Burdujan (Iaşi) MSC: 53C17 93B29 PDFBibTeX XMLCite \textit{F. Jean}, J. Dyn. Control Syst. 7, No. 4, 473--500 (2001; Zbl 1029.53039) Full Text: DOI
Jean, Frédéric Complexity of nonholonomic motion planning. (English) Zbl 1017.68138 Int. J. Control 74, No. 8, 776-782 (2001). MSC: 68T40 68U05 93C85 PDFBibTeX XMLCite \textit{F. Jean}, Int. J. Control 74, No. 8, 776--782 (2001; Zbl 1017.68138) Full Text: DOI
Gabrielov, Andrei; Jean, Frédéric; Risler, Jean-Jacques Multiplicity of polynomials on trajectories of polynomial vector fields in \(\mathbb{C}^3\). (English) Zbl 0922.32023 Jakubczyk, Bronisław (ed.) et al., Singularities symposium – Łojasiewicz 70. Papers presented at the symposium on singularities on the occasion of the 70th birthday of Stanisław Łojasiewicz, Cracow, Poland, September 25–29, 1996 and the seminar on singularities and geometry, Warsaw, Poland, September 30–October 4, 1996. Warsaw: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 44, 109-121 (1998). Reviewer: G.Pfister (Kaiserslautern) MSC: 32S70 93B25 93B05 PDFBibTeX XMLCite \textit{A. Gabrielov} et al., Banach Cent. Publ. 44, 109--121 (1998; Zbl 0922.32023) Full Text: EuDML
Jean, Frédéric; Koseleff, Pierre-Vincent Elementary approximation of exponentials of Lie polynomials. (English) Zbl 1039.17500 Mora, Teo (ed.) et al., Applied algebra, algebraic algorithms and error-correcting codes. 12th international symposium, AAECC-12, Toulouse, France, June 23–27, 1997. Proceedings. Berlin: Springer (ISBN 3-540-63163-1). Lect. Notes Comput. Sci. 1255, 174-188 (1997). MSC: 17-08 17B01 17B70 41A99 65D99 93B25 PDFBibTeX XMLCite \textit{F. Jean} and \textit{P.-V. Koseleff}, Lect. Notes Comput. Sci. 1255, 174--188 (1997; Zbl 1039.17500)
Jean, Frederic The car with N Trailers : characterization of the singular configurations. (English) Zbl 0874.93033 ESAIM, Control Optim. Calc. Var. 1, 241-266 (1996). Reviewer: M.F.Silva Leite (Coimbra) MSC: 93B29 70F25 PDFBibTeX XMLCite \textit{F. Jean}, ESAIM, Control Optim. Calc. Var. 1, 241--266 (1996; Zbl 0874.93033) Full Text: DOI EuDML