Information générale

Parcours universitaire

10/1992 – 10/1997 étude de mathématiques – Freie Universität Berlin, faculté de mathématiques

02/1998 – 12/2000 Doctorat en Sciences Mathématiques – Université d'Etat de Moscou, faculté de méchanique et de mathématiques

Histoire d'emploi

15/03/2001 – 31/08/2002 chercheur postdoc au Centre d'Ingénierie de Systèmes et de Méchanique Appliquée - Université Catholique de Louvain, Louvain-la-Neuve, Belgique; sous la responsibilité de Prof. Michel Gevers

01/09/2002 – 31/08/2003 CORE fellow au Centre for Operations Research and Econometrics - Université Catholique de Louvain, sous la responsibilité de Prof. Yuri Nesterov

01/09/2003 – 30/09/2004 chercheur postdoc au Laboratoire de Modélisation et Calcul, sous la responsibilité de Prof. Georges-Henri Cottet et Prof. Anatoli Iouditski

01/10/2004 – 31/12/2006 Chargé de recherche CNRS au Laboratoire de Modélisation et Calcul, dans l'équipe MOSAIC

à partir du 01/01/2007 Chargé de recherche CNRS au Laboratoire Jean Kuntzmann dans l'équipe CASYS (département MAD)

Intérêts scientifiques

Programmation mathématique, relaxations semi-définies

Data-based control systems design, identification pour la commande

Contrôle optimal

Publications

Chapitres de livres

Gevers M., Bombois X., Scorletti G., Van den Hof P., Hildebrand R. Experiment Design for Robust Control: Why Do More Work Than Is Needed? In Bruce A. Francis, Malcolm C. Smith, Jan C. Willems Eds. Control of Uncertain Systems: Modelling, Approximation, and Design: A Workshop on the Occasion of Keith Glover's 60th Birthday, Lecture Notes in Control and Information Sciences Vol. 329, pp. 139 - 162. Springer Berlin, Heidelberg, 2006.

Hildebrand R. Abstract cones of positive polynomials and their sums of squares relaxations. In Recent Advances in Optimization and its Applications in Engineering: The 14th Belgian-French-German Conference on Optimization, pp.41-50, Springer, 2010.


Revues

Hildebrand R. Classification of phase portraits of optimal synthesis. Fundamental and Applied Mathematics, 7(1):199-233, 2001 (en russe).

Zelikin M.I., Zelikina L.F., Hildebrand R. Asymptotics of optimal synthesis for one class of extremal problems. Proceedings of the Steklov Institute of Mathematics, 233:87-115, 2001.

Zelikin M.I., Hildebrand R., Melnikov N.B. Topological structure of a typical fibre of optimal synthesis for chattering problems. Proceedings of the Steklov Institute of Mathematics, 233:116-142, 2001.

Hildebrand R., Gevers M. Identification for control: optimal input design with respect to a worst-case v-gap cost function. SIAM Journal on Control and Optimization, 41(5):1586-1608, 2003.

Hildebrand R. Invariants in the Riemannian geometry of convex sets. CORE Discussion Paper 2004/7, http://www.core.ucl.ac.be/services/COREdp04.html, 2004.

Hildebrand R. An Open Problem of Optimal Control Theory. Journal of Mathematical Sciences, 121(2):2178-2220, 2004. (pdf)

Hildebrand R. On the Number of Independent Control Sequences in the Symmetric Fuller Problem with Two-Dimensional Control. Journal of Mathematical Sciences, 121(2):2221-2225, 2004.

Hildebrand R., Gevers M. Quantification of the variance of estimated transfer functions in the presence of undermodeling. IEEE Transactions on Automatic Control, 49(8):1345-1350, 2004.

Hildebrand R., Lecchini A., Solari G., Gevers M. Prefiltering in Iterative Feedback Tuning: optimization of the prefilter for accuracy. IEEE Transactions on Automatic Control, 49(10):1801-1805, 2004.

Hildebrand R., Lecchini A., Solari G., Gevers M. Asymptotic Accuracy of Iterative Feedback Tuning. IEEE Transactions on Automatic Control, 50(8):1182-1185, 2005.

Hildebrand R., Lecchini A., Solari G., Gevers M. Optimal Prefiltering in Iterative Feedback Tuning. IEEE Transactions on Automatic Control, 50(8):1196-1200, 2005.

Bombois X., Scorletti G., Gevers M., Hildebrand R., Van Den Hof P. Least costly identification experiment for control. Automatica, 42(10):1651-1662, 2006.

Hildebrand R. Sur l'approximation des fonctions convexes par les fonctions génératrices des cumulants. Comptes Rendus Acad. Sci. Paris, Ser. I Mathematique, 343(8):545-550, 2006.

Hildebrand R., Solari G. Identification for control: optimal input intended to identify a minimum variance controller. Automatica, 43(5):758-763, 2007.

Hildebrand R. Entangled states close to the maximally mixed state. Physical Review A, 75 (062330) 2007.

Hildebrand R. Exactness of sums of squares relaxations involving 3x3 matrices and Lorentz cones. Linear Algebra and its Applications, 426(3):815-840, 2007.

Hildebrand R. An LMI description for the cone of Lorentz-positive maps. Linear and Multilinear Algebra, 55(6):551-573, 2007.

Hildebrand R. Positive maps of second-order cones. Linear and Multilinear Algebra, 55(6):575-597, 2007.

Hildebrand R. Concurrence revisited. Journal of Mathematical Physics, 48 (102108) 2007.

Hildebrand R. Positive partial transpose from spectra. Physical Review A, 76 (052325) 2007.

Poncet P., Hildebrand R., Cottet G-H., Koumoutsakos P. Spatially distributed control for optimal drag reduction in cylinder wakes. Journal of Fluid Mechanics, 599:111-120, 2008.

Hildebrand R., Mancini S., Severini S. Combinatorial Laplacians and Positivity Under Partial Transpose. Mathematical Structures in Computer Science, 18:205-219, 2008.

Hildebrand R. Semidefinite descriptions of low-dimensional separable matrix cones. Linear Algebra and its Applications, 429(4):901-932, 2008.

Gevers M., Bombois X., Hildebrand R., Solari G. Optimal Experiment Design for Open and Closed-loop System Identification. Communications in Information and Systems, 11(3):197-224, 2011.

Hildebrand R. An LMI description for the cone of Lorentz-positive maps II. Linear and Multilinear Algebra, 59(7):719-731, 2011.

Hildebrand R. Half-dimensional immersions in para-Kähler manifolds. International Electronic Journal of Geometry, 4(2):85-113, 2011.

Hildebrand R. The cross-ratio manifold: a model of centro-affine geometry. International Electronic Journal of Geometry, 4(2):32-62, 2011.


Conférences

Hildebrand R. Optimal synthesis of controlled systems near a focus. International Congress of Mathematicians 1998, Abstracts of Short Communications and Poster Sessions, Berlin, 1998, p.343.

Hildebrand R. Classification of optimal syntheses of controlled systems near a focus. Workshop on "Mathematical Control Theory and Robotics", Book of Abstracts, SISSA, Trieste, Italy, 2000, pp.33-34.

Hildebrand R., Gevers M. Quantification of the variance of estimated transfer functions in the presence of undermodeling. Proceedings of the 13th IFAC Symposium on System Identification, August 27-29, 2003, Rotterdam, The Netherlands, pp. 1850-1855.

Hildebrand R., Lecchini A., Solari G., Gevers M. Optimal Prefiltering in Iterative Feedback Tuning. Proceedings of the 13th IFAC Symposium on System Identification, August 27-29, 2003, Rotterdam, The Netherlands, pp. 513-518.

Hildebrand R., Gevers M. Minimizing the worst-case v-gap by optimal input design. Proceedings of the 13th IFAC Symposium on System Identification, August 27-29, 2003, Rotterdam, The Netherlands, pp. 665-670.

Hildebrand R., Lecchini A., Solari G., Gevers M. Optimization of the prefilter in iterative feedback tuning for improved accuracy of the controller parameter update. Proceedings of the 42nd IEEE Conference on Decision and Control, December 9-12, 2003, Hawaii, USA, pp. 4422-4427.

Hildebrand R., Gevers M. Identification for control: optimal input design with respect to a worst-case v-gap cost function. Proceedings of the 42nd IEEE Conference on Decision and Control, December 9-12, 2003, Hawaii, USA, pp. 996-1001.

Bombois X., Scorletti G., Van den Hof P., Gevers M., Hildebrand R. Least costly identification experiment for control. 16th International Symposium on Mathematical Theory of Networks and Systems, Louvain, Belgium, July 2004.

Bombois X., Scorletti G., Gevers M., Hildebrand R., Van den Hof P. Cheapest open-loop identification for control. Proc. of the 43rd IEEE Conference on Decision and Control, Atlantis, Bahamas, December 2004, pp. 382-387.

Hildebrand R. Exactness of the PPT condition for 3x3 matrices and approximation of convex functions with cumulant generating functions. Conference on Positive polynomials, CIRM, Luminy, France, March 2005. (abstract1,abstract2)

Hildebrand R. Self-similar trajectories in multi-input systems. Transgressive Computing 2006, A conference in honor of Jean Della-Dora, University of Granada, Granada, Spain, April 2006, pp. 287-302. (pdf)

Hildebrand R. Semidefinite description of separable cones involving the Lorentz cone. Convex optimization and applications in control theory, probability and statistics, CIRM, Luminy, France, April 2007. (slides)

Hildebrand R. A control problem with a Smale's Horseshoe in the solution. International Conference "Differential Equations and Topology" Dedicated to the Centennial Anniversary of Lev Semenovich Pontryagin, Moscow State University, Moscow, Russia, June 17-22, 2008, pp. 253-254.

Hildebrand R. Optimal inputs for FIR system identification. Proc. of the 47rd IEEE Conference on Decision and Control, Cancun, Mexico, December 2008, pp. 5525-5530.

Hildebrand R., Solari G. Closed-loop Optimal Input Design: the Partial Correlation Approach. Proceedings of the 15th IFAC Symposium on System Identification, St. Malo, France, Juillet 2009, pp. 928-933.

Hildebrand R. A family of semidefinite relaxations for cones of positive polynomials. Book of Abstracts. 14th Belgian-French-German Conference on Optimization, Leuven, Belgique, Septembre 2009, p. 104. (slides)

Cristian R. Rojas, Håkan Hjalmarsson, Roland Hildebrand. MIMO experiment design based on asymptotic model order theory. Proc. of the 48th IEEE Conference on Decision and Control, Shanghai, China, Decembre 2009, pp. 488-493.

Hildebrand R., Gevers M., Solari G. Closed-loop optimal experiment design: The partial correlation approach. Proc. of the 49th IEEE Conference on Decision and Control, Atlanta, USA, Decembre 2010, pp. 2855-2862.

Hildebrand R. A Geometric Theory of Barriers in Conic Optimization. SIAM Conference on Optimization 2011 (SIAM OP11), Book of Abstracts, p. 99, Darmstadt, Allemagne, 2011. (slides)

Hildebrand R. Linear group representations in the service of conic optimization. Plenary lecture at ILAS Conference 2011, Braunschweig, Germany, 2011. (slides)

Hildebrand R. Semidefinite representations of sets delineated by plane quartics. Book of Abstracts. 15th Austrian-French-German Conference on Optimization, Toulouse, France, September 2011, pp. 80-82. (slides)

Hildebrand R. Barriers on projective convex sets. AIMS Proceedings, Vol. 2011, pp. 672-683, 2011.


Soumis

Hildebrand R. The extreme rays of the 5 x 5 copositive cone. Accepté à Linear Algebra and its Applications, 2011. (pdf preprint)

Hildebrand R. A lower bound on the optimal self-concordance parameter of convex cones. Soumis à Mathematical Programming Series A, 2011. (pdf preprint)

Hildebrand R. On the infinity-norm of the cubic form of complete hyperbolic affine hyperspheres. Soumis à Results in Mathematics, 2011.

Dickinson P., Dür M., Gijben L., Hildebrand R. Irreducible elements of the copositive cone. Soumis à Linear Algebra and its Applications, 2012. (pdf preprint)

Dickinson P., Dür M., Gijben L., Hildebrand R. Scaling relationship between the copositive cone and Parrilo's first level approximation. Accepté à Optimization Letters, 2012. (pdf preprint)

Hildebrand R. Einstein-Hessian barriers on convex cones. Soumis à Mathematics of operations research, 2012. (pdf preprint)


Prépublications et notes techniques

Hildebrand R., Lecchini A., Solari G., Gevers M. A convergence theorem for Iterative Feedback Tuning. Technical Report 2003/17, CESAME, Louvain-la-Neuve, Belgium.

Hildebrand R. PPT from spectra. Prépublication arXiv quant-ph/0502170, 2005.

Hildebrand R. Cones of ball-ball separable elements. Prépublication arXiv quant-ph/0503194, 2005.

Hildebrand R. An LMI description for the cone of Lorentz-positive maps. Prépublication Optimization Online 2005/12/1260, 2005.

Hildebrand R. Separable balls around the maximally mixed state for a 3-qubit system. Prépublication arXiv quant-ph/0601201, 2006.

Hildebrand R., Mancini S., Severini S. Combinatorial Laplacians and Positivity Under Partial Transpose. Prépublication arXiv cs.CC/0607036, 2006.

Hildebrand R. Concurrence of Lorentz-positive maps. Prépublication arXiv quant-ph/0612064, 2006.

Hildebrand R. Semidefinite descriptions of separable matrix cones. Prépublication arXiv math.RA/0701571, 2007.

Hildebrand R. Entangled states close to the maximally mixed state. Prépublication arXiv quant-ph/0702040, 2007.

Hildebrand R. An LMI description for the cone of Lorentz-positive maps II. Prépublication Optimization Online 2007/08/1747, 2007.

Hildebrand R. Identification of community structure in networks with convex optimization. Prépublication arXiv 0806.1896 [physics.data-an], 2008.

Hildebrand R. The extreme rays of the 5x5 copositive cone. Preprint Optimization Online 2011/03/2959, 2011.

Hildebrand R. A lower bound on the optimal self-concordance parameter of convex cones. Preprint Optimization Online 2011/06/3068, 2011.

Dickinson P., Dür M., Gijben L., Hildebrand R. Irreducible elements of the copositive cone. Preprint Optimization Online 2012/03/3383, 2012.

Dickinson P., Dür M., Gijben L., Hildebrand R. Scaling relationship between the copositive cone and Parrilo's first level approximation. Preprint Optimization Online 2012/03/3397, 2012.

Hildebrand R. Einstein-Hessian barriers on convex cones. Preprint Optimization Online 2012/05/3474, 2012.


Seminaires

Hildebrand R. Comparison of the PPT cone and the separable cone for 2 x n systems. Mathematical Programming seminar, CORE, UCL, Louvain-la-Neuve, Belgium, 2005. (slides)

Hildebrand R. Robust conic quadratic programming with ellipsoidal uncertainties. Seminaire de l'équipe Contrôle Automatique, School of Electrical Engineering, KTH, Stockholm, Suède, 2008. (slides)

Hildebrand R., Joncour I. Un système complexe astrophysique. Rencontres Nationales des Systèmes Complexes 2011, Roscoff, France, 2011. (slides)

Hildebrand R. Abstract cones of positive polynomials and their sums of squares relaxations. Seminar Institut de Recherche Mathématiques de Rennes (IRMAR), Rennes, France, 2011. (slides)

Dernière modification: 22 mai 2012