Jean-Baptiste Pomet

Jean-Baptiste Pomet J.-B. Pomet

Directeur de Recherche Inria (full time senior researcher)

Centre de Recherche INRIA Sophia Antipolis - Méditerranée

Responsable de l'équipe-projet (team) McTAO

Phone: +33 4 92 38 77 79
Fax: +33 4 92 38 78 58
Email:

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PhD & INTERNSHIP PROPOSALS
SUJETS DE STAGE et de THÈSE

PUBLICATIONS
PREPRINTS

NEWS

My main scientific interest is Nonlinear Control, and more specifically:

Nonlinear Stabilization, and optimal control.
Equivalence and classification of control systems.
Applications to Aerospace engineering.

Supervised PhDs :

Sébastien FUEYO, « Time-varying delay systems and 1-D hyperbolic equations, Harmonic transfer function and nonlinear electric circuits », 2020.
Yacine EL ALAOUI-FARIS, « Modeling and Optimal Control of Magnetic Micro-Swimmers », 2020.
Clément MOREAU, « Controllability in finite and infinite dimension and applications to bio-inspired nonlinear systems », 2020.
Jérémy ROUOT, « Méthodes géométriques et numériques en contrôle optimal et applications au transfert orbital à poussée faible et à la nage à faible nombre de Reynolds », 2016.
Helen HENNINGER, « Étude des solutions du transfert orbital avec une poussée faible dans le problème des deux et trois corps », 2015.
Ahed HINDAWI, « Transport optimal en contrôle », 2012.
Alex BOMBRUN, « Les transferts orbitaux à faible poussée: optimalité et stabilisation », 2007.
David AVANESSOFF, « Linéarisation dynamique des systèmes non linéaires et paramétrage de l´ensemble des solutions », 2005.
Ludovic FAUBOURG, « Construction de fonctions de Lyapunov contrôlées et stabilisation non-linéaire», 2001.

...and an important articipation in the supervision of:

Pascal MORIN, « Sur la stabilisation par retour d'état instationnaire », 1996.
Eduardo ARRANDA-BRICAIRE, « Linéarisation par bouclage des systèmes non-linéaires», 1994.

Publications and preprints :

This is a selection of journal papers, articles in conference proceedings, theses and unpublished reports available for download:

L. BARATCHART, A. FUEYO, G. LEBEAU, J.-B. POMET, « Sufficient Stability Conditions for Time-varying Networks of Telegrapher’s Equations or Difference Delay Equations», SIAM J. on Mathematical Analysis, vol. 53, pp. 1831-1856, 2021. DOI: 10.1137/19M1301795.
J.-B. CAILLAU, S. MASLOVSKAYA, T. MENSCH, T. MOULINIER, J.-B. POMET, « Zermelo-Markov-Dubins problem and extensions in marine navigation», 58th IEEE Conf. Decision and Control, 2019. DOI: 10.1109/CDC40024.2019.9029293.
J.-B. CAILLAU, L. DELL'ELCE, J.-B. POMET, J. ROUOT, « Optimal control of slow-fast mechanical systems », proceedings of 1st "UCA Complex Days", 2018.
L. GIRALDI, P. LISSY, C. MOREAU, J.-B. POMET, « Addendum to "Local Controllability of the Two-Link Magneto-Elastic Micro-Swimmer" », IEEE Trans. on Automatic Control, vol. 63, pp. 2303–2305, doi:10.1109/TAC.2017.2764422, 2018.
L. GIRALDI, J.-B. POMET, « Local Controllability of the Two-Link Magneto-Elastic Micro-Swimmer », IEEE Trans. on Automatic Control, vol. 62, pp. 2512–2518, doi:10.1109/TAC.2016.2600158, 2017.
B. BONNARD, H. HENNINGER, J. NĚMCOVÁ, J.-B. POMET, « Time versus energy in the averaged optimal coplanar Kepler transfer towards circular orbits», Acta Applicandae Mathematicae, published online, doi:10.1007/s10440-014-9948-2, june 2014.
B. BONNARD, O. COTS, J.-B. POMET, N. SHCHERBAKOVA, « Riemannian metrics on 2D-manifolds related to the Euler-Poinsot rigid body motion», ESAIM-COCV, vol. 20, pp. 864-893, doi:10.1051/cocv/2013087, 2014.
A. BOMBRUN, J.-B. POMET, « The averaged control system of fast oscillating control systems», SIAM J. on Control & Optimization, vol. 51, pp. 2280–2305, 2013. DOI: 10.1137/11085791X.
A. HINDAWI, J.-B. POMET, L. RIFFORD, « Mass transportation with LQ cost functions », Acta Applicandae Mathematicae, vol. 115, pp. 215–229, doi:10.1007/s10440-010-9595-1, 2011.
X. LITRICO, V. GUINOT, J.-B. POMET, « Simplified Nonlinear Modeling of River Flow Routing », Advances in Water Resources, vol. 33, pp. 1015–1023, doi:10.1016/j.advwatres.2010.06.004, 2010.
A. BARATCHART, J.-B. POMET, « On local linearization of control systems », J. of Dynamical and Control Systems, vol. 15, pp. 471-536, doi:10.1007/s10883-009-9077-9, 2009.

J.-B. POMET, Équivalence et linéarisation des systèmes de contrôle, HDR Thesis, defended october 23, 2009.
J.-B. POMET, « A necessary condition for dynamic equivalence », SIAM J. on Control & Optimization, vol. 48, pp. 925-940, doi:10.1137/080723351, 2009.
A. BOMBRUN, J.-B. POMET « Asymptotic behavior of the time optimal orbital transfer for low thrust 2-body control system», DCDS supplements, 2007, p. 122-129.
A. BOMBRUN, J. CHETBOUN, J.-B. POMET, « Transferts Terre-Lune en poussée faible par contrôle feedback. La mission Smart-1», (in french), INRIA research report number 5955, 2006.
A. BOMBRUN, J.-B. POMET, « On the average control system», Proceedings of 17th Int. Sympos. on Mathematical Theory of Networks and Systems (MTNS 2006), July, 2006, pp.2912-2917.
L. BARATCHART, M. CHYBA, J.-B. POMET, « A Grobman-Hartman Theorem for Control Systems », in J. Dyn. Differ. Equ., vol. 19, 2007, p. 75-107, doi:10.1007/s10884-006-9014-5.
D. AVANESSOFF, J.-B. POMET, « Flatness and Monge parameterization of two-input systems, control-affine with 4 states or general with 3 states », ESAIM-COCV, vol. 13, 2007, p. 237-264. doi:10.1051/cocv:2007011.
M. PETRECZKY, J.-B. POMET, « Realization Theory of Nonlinear Hybrid Systems», In : Taming Heterogeneity and Complexity of Embedded Control, F. Lamnabhi et al. (eds.), ISTE, 2007, p. 541-570. DOI: 10.1002/9780470612217.ch31.
A. BOMBRUN, J.-B. POMET, « Judjevic-Quinn conditions and discontinuous bounded controls», In : Taming Heterogeneity and Complexity of Embedded Control, F. Lamnabhi et al. (eds.), ISTE, 2007, p. 63-72. DOI: 10.1002/9780470612217.ch5.
D. AVANESSOFF, L. BARATCHART, J.-B. POMET, « Sur l'intégrabilité (très) formelle d'une partie des équations de la platitude des systèmes de contrôle » (in french), INRIA research report number 5045, 2004.
L. BARATCHART, M. CHYBA, J.-B. POMET, « Topological versus Smooth Linearization of Control Systems », in Contemporary trends in nonlinear geometric control theory and its applications, World Sci. Publishing, 2002, pp. 203-215. DOI: 10.1142/9789812778079_0007.
L. FAUBOURG, J.-B. POMET, « Control Lyapunov functions for homogeneous "Jurdjevic-Quinn" systems », ESAIM-COCV, Vol. 5, pp. 293-311, 2000. DOI: 10.1051/cocv:2000112.
L. FAUBOURG, J.-B. POMET, « Design of Control Lyapunov functions for "Jurdjevic-Quinn" systems», in Stability and Stabilization of Nonlinear Systems, D. Aeyels et Al. eds., Lect. Notes in Contr. & Inform. Sci., Vol. 246, pp. 137-150, Springer-Verlag, 1999.
J.-B. POMET, « On the curves that may be approached by trajectories of a smooth control affine system» , Systems & Control Letters, Vol. 36, pp. 143--149, 1999. DOI: 10.1016/S0167-6911(98)00086-3.
L. FAUBOURG, J.-B. POMET, « Strict control Lyapunov functions for homogeneous Jurdjevic-Quinn type systems», IFAC Nonlinear Control Design Symposium (NOLCOS'98), pp. 823--829.
P. MORIN, J.-B. POMET, C. SAMSON, « Design of homogeneous time-varying stabilizing control laws for driftless systems via oscillatory approximation of Lie brackets in closed loop», SIAM J. on Control & Optimization, Vol. 38, pp. 22--49, 1999. DOI: 10.1137/S0363012997315427.
L. BARATCHART, M. CHYBA, J.-B. POMET, « On the differentiability of feedback linearization and the Hartman-Grobman theorem for control systems », in 38th IEEE Conf. on Decision and Control, 1999, pp. 1617-1622. doi: 10.1109/CDC.1999.830255.
J.-B. POMET, « On dynamic feedback linearization of four-dimensional affine control systems with two inputs », ESAIM-COCV, Vol. 2, pp. 151-230, june 1997. DOI: 10.1051/cocv:1997107.
In : Geometry in Nonlinear Control and Differential Inclusions, Banach Center Publ., vol. 32, 1995
- J.-B. POMET, « A differential geometric setting for dynamic equivalence and dynamic linearization », p. 319-339, DOI: 10.4064/-32-1-319-339,
- E. ARANDA-BRICAIRE, C. H. MOOG, J.-B. POMET, «An infinitesimal Brunovský form for nonlinear systems with applications to dynamic linearization », p.19-33, DOI: 10.4064/-32-1-19-33.
You can download a preprint that combines both with easier cross-references.
E. ARANDA-BRICAIRE, C. H. MOOG, J.-B. POMET, « A Linear Algebraic Framework for Dynamic Feedback Linearization », IEEE Trans. on Automatic Control, vol. 40, p. 127–132, 1995. DOI: 10.1109/9.362886
P. MORIN, J.-B. POMET, C. SAMSON, Z.-P. JIANG, « Time-varying Feedback Stabilization of the Attitude of a Rigid Spacecraft with Two Controls», Systems & Control Lett., Vol. 25, pp. 375–-385, 1995. DOI: 10.1016/0167-6911(94)00095-D.
P. MORIN, J.-B. POMET, C. SAMSON, Z.-P. JIANG, « Time-varying Feedback Stabilization of the Attitude of a Rigid Spacecraft with Two Controls», 31st IEEE Conf. on Decision and Control, Vol. 1, pp. 914--915, 1994. DOI: 10.1109/CDC.1994.410943
J.-B. POMET, R. M. HIRSCHORN, W. A. CEBUHAR, « Dynamic output feedback regulation for a class of nonlinear systems», Mathematics of Control Signals and Systems (MCSS), Vol. 6, pp. 106-124, 1993. DOI: 10.1007/BF01211742
W. A. CEBUHAR, R. M. HIRCSHORN, J.-B. POMET, « Some results on dynamic output feedback regulation of nonlinear systems», 30th IEEE Conf. on Decision and Control (CDC 1991), Vol. 2, pp. 1811-1812, 1991. DOI: 10.1109/CDC.1991.261722
J.-B. POMET, « Remarks on sufficient information for adaptive nonlinear regulation », 31st IEEE Conf. on Decision and Control, Tucson, pp. 1737-1741, 1992.
J.-M. CORON, J.-B. POMET, « A remark on the design of time-varying stabilizing feedback laws for controllable systems without drift », presented at 2nd IFAC NOLCOS, Bordeaux, 1992, proceedings in IFAC Symposia Series 1993. DOI: 10.1016/B978-0-08-041901-5.50070-1.
J.-B. POMET, « Explicit design of Time-varying Stabilizing Control Laws for a Class of Controllable Systems without Drift», Systems & Control Lett., vol. 18, p. 147-158, 1992.
J.-B. POMET, L. PRALY, « Adaptive nonlinear regulation: estimation from the Lyapunov equation», IEEE Trans. on Automatic Control, vol. 37, p. 729-740, 1992. DOI: 10.1109/9.256328
J.-B. POMET, Sur la commande adaptative des systèmes non linéaires, PhD Thesis, defended September 25, 1989.

Last modified: Sun Nov 21 15:40:26 CET 2021