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Delfour, Michel

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Professeur émérite

Faculté des arts et des sciences - Département de mathématiques et de statistique

André-Aisenstadt Local

514 343-7265

Courriels

Affiliations

  • Membre - CRM — Centre de recherches mathématiques

Expertise

 

Michel Delfour est fellow Guggenheim, Killam, et SIAM et récipient du prix Urgel-Archambault en physique, mathématiques et génie de l'Acfas. Ses domaines de recherche sont l'optimisation et le design de forme, l'analyse et le contrôle des systèmes d'équations différentielles à retard et/ou aux dérivées partielles, le contrôle et la stabilisation des structures spatiales, et les méthodes numériques en équations différentielles et en optimisation. Parmi ses intérêtes récents, on retrouve l'affectation des fréquences radio aux systèmes de mobiles terrestres, la modélisation des coques minces et asymptotiques, le design des endoprothèses en cardiologie interventionnelle, et le design de la dynamique du largage des médicaments. Il est l'auteur de 13 livres et de plus de 175 articles. Il fut président de la Société mathématique du Canada et a servi sur de nombreux conseils et comités de subvention canadiens ainsi que sur des panels et comités d'administration d'organismes internationaux.  Il est membre de l'Ordre des Ingénieurs du Québec depuis 1966 et a été impliqué dans plusieurs activités conseils pour des organismes canadiens.

 

Encadrement Tout déplier Tout replier

Représentation et détection des images et des surfaces déformables Thèses et mémoires dirigés / 2011-08
Barolet, Justine C.
Abstract
La représentation d'une surface, son lissage et son utilisation pour l'identification, la comparaison, la classification, et l'étude des variations de volume, de courbure ou de topologie sont omniprésentes dans l'aire de la numérisation. Parmi les méthodes mathématiques, nous avons retenu les transformations difféomorphiques d'un pattern de référence. Il y a un grand intérêt théorique et numérique à approcher un difféomorphisme arbitraire par des difféomorphismes engendrés par des champs de vitesses. Sur le plan théorique la question est : "est-ce que le sous-groupe de difféomorphismes engendrés par des champs de vitesses est dense dans le groupe plus large de Micheletti pour la métrique de Courant ?" Malgré quelques progrès réalisés ici, cette question demeure ouverte. Les pistes empruntées ont alors convergé vers le sous-groupe de Azencott et de Trouvé et sa métrique dans le cadre de l'imagerie. Elle correspond à une notion de géodésique entre deux difféomorphismes dans leur sous-groupe. L'optimisation est utilisée pour obtenir un système d'équations état adjoint caractérisant la solution optimale du problème d'identification à partir des observations. Cette approche est adaptée à l'identification de surfaces obtenues par un numériseur tel que, par exemple, le scan d'un visage. Ce problème est beaucoup plus difficile que celui d'imagerie. On doit alors introduire un système de référence courbe et une surface à facettes pour les calculs. On donne la formulation du problème d'identification et du calcul du changement de volume par rapport à un scan de référence.

Représentation et identification des hypersurfaces Thèses et mémoires dirigés / 2012-12
Choueib, Hassan
Abstract
L?objectif à moyen terme de ce travail est d?explorer quelques formulations des problèmes d?identification de forme et de reconnaissance de surface à partir de mesures ponctuelles. Ces problèmes ont plusieurs applications importantes dans les domaines de l?imagerie médicale, de la biométrie, de la sécurité des accès automatiques et dans l?identification de structures cohérentes lagrangiennes en mécanique des fluides. Par exemple, le problème d?identification des différentes caractéristiques de la main droite ou du visage d?une population à l?autre ou le suivi d?une chirurgie à partir des données générées par un numériseur. L?objectif de ce mémoire est de préparer le terrain en passant en revue les différents outils mathématiques disponibles pour appréhender la géométrie comme variable d?optimisation ou d?identification. Pour l?identification des surfaces, on explore l?utilisation de fonctions distance ou distance orientée, et d?ensembles de niveau comme chez S. Osher et R. Fedkiw ; pour la comparaison de surfaces, on présente les constructions des métriques de Courant par A. M. Micheletti en 1972 et le point de vue de R. Azencott et A. Trouvé en 1995 qui consistent à générer des déformations d?une surface de référence via une famille de difféomorphismes. L?accent est mis sur les fondations mathématiques sous-jacentes que l?on a essayé de clarifier lorsque nécessaire, et, le cas échéant, sur l?exploration d?autres avenues.

Commande optimale et jeux différentiels linéaires quadratiques Thèses et mémoires dirigés / 2007
Dello Sbarba, Olivier
Abstract
Mémoire numérisé par la Division de la gestion de documents et des archives de l'Université de Montréal.

Représentations analytiques des objets géométriques et contours actifs en imagerie Thèses et mémoires dirigés / 2004
Dehaes, Mathieu
Abstract
Mémoire numérisé par la Direction des bibliothèques de l'Université de Montréal.

Modélisation des stents en chirurgie cardiaque Thèses et mémoires dirigés / 2003
Longo, Vito
Abstract
Mémoire numérisé par la Direction des bibliothèques de l'Université de Montréal.

Les aspects mathématiques des stents enrobés Thèses et mémoires dirigés / 2006
Bourgeois, Étienne
Abstract
Mémoire numérisé par la Direction des bibliothèques de l'Université de Montréal.

Projets de recherche Tout déplier Tout replier

Shape and topological optimization: analysis and differential calculus CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2017 - 2023

Nserc create training program in simulation-based engineering science CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2016 - 2022

Nserc-create training program in simulation-based engineering science CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2016 - 2022

Centre de recherches mathematiques (crm) FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2015 - 2022

Modelling, identification, control, and design with respect to shapes and geometries CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2012 - 2018

Analysis and control of shapes and systems FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2011 - 2015

Centre de recherches mathematiques (crm) FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2008 - 2016

Crm's major 5-year plan : investing in people and intellectual capacities, supporting cutting edge mathematical research, exceptional new opportunities, partnerships and synergies CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2008 - 2015

Analysis and control of shapes and systems CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 1994 - 2014

Publications choisis Tout déplier Tout replier

Introduction to optimization and Hadanard semi-differential calculus, deuxième édition

M. C. Delfour, Introduction to optimization and Hadanard semi-differential calculus, deuxième édition 27, xxi + 354 (2020), , SIAM-MOS, Society for Industrial and Applied Mathematics, Philadelphia, USA

On theTransfinite Mean Value Interpolation of Dicken and Floater

M. C. Delfour et A. Garon, On theTransfinite Mean Value Interpolation of Dicken and Floater 5, 1-11 (2020), , J. Pure and Applied Functional Analysis

Mesh adaptation based on transfinite mean value interpolation

A. Garon et M. C. Delfour, Mesh adaptation based on transfinite mean value interpolation , 1-35 (2020), https://doi.org/10.1016/j.jcp.2020.109248, J. of Computational Physics

"On the figure of columns" of Lagrange revisited

M. C. Delfour et F. Huot-Chantal, , "On the figure of columns" of Lagrange revisited 26, 855-876 (2019), , Journal of Convex Analysis

Three-Dimensional Drug Release in the Stent-Polymer-Wall-Lumen of a Blood Vessel

M.C. Delfour, A. Garon et S. Lamontagne, Three-Dimensional Drug Release in the Stent-Polymer-Wall-Lumen of a Blood Vessel 79, 1850-1871 (2019), , SIAM J. Appl. Math.

Transfinite Interpolations for Free and Moving Boundary Problems

M. C. Delfour et A. Garon, Transfinite Interpolations for Free and Moving Boundary Problems 4, 765-801 (2019), , J. Pure and Applied Functional Analysis

Topological Derivative: a Semidifferential via the Minkowski Content

M. C. Delfour, Topological Derivative: a Semidifferential via the Minkowski Content 25, 957-982 (2018), , Journal of Convex Analysis

Control, Shape, and Topological Derivatives via Minimax Differentiability of Lagrangians

M. C. Delfour, Control, Shape, and Topological Derivatives via Minimax Differentiability of Lagrangians , 137-164 (2018), , dans "Numerical Methods for Optimal Control Problems," M. Falcone, R. Ferretti, L. Grüne, W. McEneaney, eds., Springer INdAM Series Vol. 29, Springer Nature Switzerland.

Parametric Semidifferentiability of Minimax of Lagrangians: Averaged Adjoint Approach

M. C. Delfour et K. Sturm, Parametric Semidifferentiability of Minimax of Lagrangians: Averaged Adjoint Approach 24, 1117-1142 (2017), , Journal of Convex Analysis

Differentials and Semidifferentials for Metric Spaces of Shapes and Geometries

M. C. Delfour, Differentials and Semidifferentials for Metric Spaces of Shapes and Geometries , 230-239 (2017), , dans ?System Modeling and Optimization, (CSMO 2015),'' L. Bociu, J. A. Desideri and A. Habbal, eds., AICT Series, Springer. (Proc. 27th IFIP TC7 Conference 2015, Sophia-Antipolis, France)

Minimax differentiability via the averaged adjoint for control/shape sensitivity

M. C. Delfour et K. Sturm, Minimax differentiability via the averaged adjoint for control/shape sensitivity , 142-149 (2016), , Proceedings of the Second IFAC Workshop on Control of Systems Governed by Partial Differential Equations, IFAC-PaperOnLine 49-8

Metrics spaces of shapes and geometries from set parametrized functions

M. Delfour, Metrics spaces of shapes and geometries from set parametrized functions , 57-101 (2016), , dans "New trends in Shape Optimization," A. Pratelli and G. Leugering, eds, International Series of Numerical Mathematics, Birkhäuser Verlag.

Arterial Stenosis: Hemodynamics and Drug Elutions, dans « PanVascular Medicine », 2nd ed., Peter Lanzer, ed.

M. Thiriet, M. C. Delfour et A. Garon, Arterial Stenosis: Hemodynamics and Drug Elutions, dans « PanVascular Medicine », 2nd ed., Peter Lanzer, ed. Volume 1, Part IV, Chapter 24, 781-868 (2015), , Springer Heidelberg New York Dordrecht London.

Metrics spaces of shapes and geometries from set parametrized functions

M. C. DELFOUR, Metrics spaces of shapes and geometries from set parametrized functions "New trends in Shape Optimization", A. Pratelli and G. Leugering, eds.,, 57-101 (2015), , International Series of Numerical Mathematics, Birkhäuser Verlag

Three-dimensional quadratic model of paclitaxel release from biodegradable polymer films

A. Garon et M. C. Delfour, Three-dimensional quadratic model of paclitaxel release from biodegradable polymer films accepté le 24 juin 2014, 1-19 (2014), , SIAM J. Appl. Math.

Quadratic ODE and PDE models of drug release kinetics from biodegradable polymers

M. C. Delfour er A. Garon, Quadratic ODE and PDE models of drug release kinetics from biodegradable polymers , 13-24 (2013), , dans "25th IFIP TC7 Conference on System Modeling and Optimization", Dietmar Hömberg et Fredi Tröltzsch, eds, IFIP Adv. Inf. Commun. Technol., Springer, Berlin.

Introduction à l'optimisation et au calcul semi-différentiel

M. C. Delfour, Introduction à l'optimisation et au calcul semi-différentiel , (2012), , Collection: Sciences Sup., Mathématiques appliqués pour le Master/SMAI, Dunod, Paris. ISBN 978-2-10-057423-0.

Drug release kinetics from biodegradable polymers via partial differential equation models

M.C. Delfour, Drug release kinetics from biodegradable polymers via partial differential equation models 118, issue 1, , 161-183 (2012), , Acta Applicandae Mathematicae

Anisotropic mesh adaptation on Lagrangian Coherent Structures

P. Miron, J. Vétel, A. Garon, M. Delfour et Mouhammad El Hassan, Anisotropic mesh adaptation on Lagrangian Coherent Structures 231,, 6419-6437 (2012), , Journal of Computational Physics

Introduction to optimization and semi-differential calculus

M. C. Delfour, Introduction to optimization and semi-differential calculus , (2012), , série SIAM-MOS, Society for Industrial and Applied Mathematics, Philadelphia, USA. ISBN 978-1-611972-14-6.

Shapes and Geometries: Metrics, Analysis, Differential Calculus and Optimization

M.C. Delfour et J.-P. Zolésio, Shapes and Geometries: Metrics, Analysis, Differential Calculus and Optimization , (2011), , SIAM series on Advances in Design and Control, Society for Industrial and Applied Mathematics, Philadelphia, USA. ISBN 978-0-898719-36-9.

Quadratic models to fit experimental data of Paclitaxel release kinetics from biodegradable polymers

G. Blanchet, M.C. Delfour et A. Garon, Quadratic models to fit experimental data of Paclitaxel release kinetics from biodegradable polymers 71, No. 6, , 2269-2286 (2011), , SIAM J. Appl. Math. (Special Issue on Mathematical Modeling of Controlled Drug Delivery)

New equations for the dose under pulsative/periodic conditions in the design of coated stents

M.C. Delfour et A. Garon, New equations for the dose under pulsative/periodic conditions in the design of coated stents 13, No. 1, , 19-34 (2010), , Computer Methods in Biomechanics and Biomedical Engineering

Representations, composition, and decomposition of C1,1 hypersurfaces

M.C. Delfour, Representations, composition, and decomposition of C1,1 hypersurfaces , 85-104 (2009), , dans "Optimal control of coupled systems of partial differential equations", Internat. Ser. Numer. Math., 158, Birkhäuser Verlag, Basel.

Linear-quadratic differential games: closed loop saddle points

M.C. Delfour et O. Dello Sbarba, Linear-quadratic differential games: closed loop saddle points 47, No. 6, , 3138-3166 (2009), , SIAM J. on Control and Optim.

Boundary smoothness of the solution of Maxwell's equations of electromagnetics

J.P. Zolésio et M.C. Delfour, Boundary smoothness of the solution of Maxwell's equations of electromagnetics , 492-506 (2009), , dans "System modeling and optimization", IFIP Adv. Inf. Commun. Technol., 312, Springer, Berlin.

Linear-Quadratic Differential Games: from finite to infinite dimension

M.C. Delfour, Linear-Quadratic Differential Games: from finite to infinite dimension 35, No. 4, , 431-446 (2008), , Applicationes Mathematicae

Representation of hypersurfaces and minimal smoothness of the midsurface in the theory of shells

M.C. Delfour, Representation of hypersurfaces and minimal smoothness of the midsurface in the theory of shells 37, No. 4, , 879-911 (2008), , Control and Cybernetics

General Patterns and Asymptotic Dose in the Design of Coated Stents

É. Bourgeois et M.C. Delfour, General Patterns and Asymptotic Dose in the Design of Coated Stents 11, issue 4, , 323-334 (2008), , Computer Methods in Biomechanics and Biomedical Engineering

Coupling Stokes and Darcy equations

J.M. Urquiza, D. N'dri, A. Garon, et M.C. Delfour, Coupling Stokes and Darcy equations 58, , 525-538 (2008), , Applied Numerical Mathematics

Jean-Paul Zolésio---a short biography

J. Sokolowski et M. C. Delfour, Jean-Paul Zolésio---a short biography 37, 743--745 (2008), , Control and Cybernetics

High Dimensional Partial Differential Equations in Science and Engineering

A.D. Bandrauk, M.C. Delfour, and C. Le Bris, High Dimensional Partial Differential Equations in Science and Engineering , (2007), , CRM Lecture Notes and Proceedings, vol 41, AMS Publ, R.I., ISBN-13 978-0-8218-3853-2.

Representation and Control of Infinite Dimensional Systems

A. Bensoussan, G. Da Prato, M.C. Delfour, and S.K. Mitter, Representation and Control of Infinite Dimensional Systems , (2007), , Birkhäuser Boston, Inc., Boston, Basel, Berlin.

Linear-Quadratic Differential Games: Saddle Point and Riccati Differential Equation

M.C. Delfour, Linear-Quadratic Differential Games: Saddle Point and Riccati Differential Equation 46, No. 2, , 750-774 (2007), , SIAM J. Control and Optim.

Uniform Fat Segment and Cusp Properties for Compactness in Shape Optimization

M.C. Delfour, Uniform Fat Segment and Cusp Properties for Compactness in Shape Optimization 46, No. 2, , 385-419 (2007), , Appl Math Optim

Some New Results in Open and Closed-Loop Linear-Quadratic Differential Games

M.C. Delfour et O. Dello Sbarba , Some New Results in Open and Closed-Loop Linear-Quadratic Differential Games , 907-912 (2007), , dans "Proceedings 16th IEEE Mediterranean Conference on Control and Automation", IEEE Publications.

Shape and geometric methods in image processing

M. Dehaes et M.C. Delfour, Shape and geometric methods in image processing , 293-308 (2007), , dans "Free and moving boundaries analysis, simulation, and control", Lecture Notes in Pure and Applied Mathematics Volume 252, Chapman & Hall/CRC, Boca Raton, FL.

Evolution equations for shapes and geometries

M. C. Delfour et J.-P. Zolésio, Evolution equations for shapes and geometries 6, 399--417 (2006), , J. Evol. Equ.

A numerical study of primal mixed finite element approximations of Darcy equations

J. M. Urquiza, D. N'Dri, A. Garon et M. C. Delfour, A numerical study of primal mixed finite element approximations of Darcy equations 22, 901--915 (2006), , Comm. Numer. Methods Engrg.

The uniform fat segment and cusp properties in shape optimization

M. C. Delfour, N. Doyon et J._P. Zolésio, The uniform fat segment and cusp properties in shape optimization , 85-96 (2005), , dans "Control and Boundary Analysis", J. Cagnol and J.-P. Zolésio, edsLect. Notes in Pure and Appl. Math. Vol. 240, Chapman & Hall/CRC, Boca Raton, FL.

Uniform cusp property, boundary integral, and compactness for shape optimization

M. C. Delfour, N. Doyon et J.-P. Zolésio, Uniform cusp property, boundary integral, and compactness for shape optimization , 25-40 (2005), , dans "System Modeling and Optimization", J. Cagnol and J.-P. Zolésio, eds, IFIP Int. Fed. Inf. Process., 166, Kluwer Acad. Publ., Boston, MA.

Extension of the uniform cusp property in shape optimization

M. C. Delfour, N. Doyon et J.-P. Zolésio, Extension of the uniform cusp property in shape optimization , 71-86 (2005), , dans "Control Theory of Partial Differential Equations", O. Emanuvilov, G. Leugering, R. Triggiani, and B. Zhang, eds, IFIP Int. Fed. Inf. Process., 166, Kluwer Acad. Publ., Boston, MA.

Shape identification via metrics constructed from the oriented distance function

M. C. Delfour et J.-P. Zolésio, Shape identification via metrics constructed from the oriented distance function 34, 137--164 (2005), , Control Cybernet.

Modeling and design of coated stents to optimize the effect of the dose

M. C. Delfour, A. Garon et V. Longo, Modeling and design of coated stents to optimize the effect of the dose 65, 858--881 (electronic) (2005), , SIAM J. Appl. Math.

The new family of cracked sets and the image segmentation problem revisited

M. C. Delfour et J.-P. Zolésio, The new family of cracked sets and the image segmentation problem revisited 4, 29--52 (2004), , Commun. Inf. Syst.

Oriented distance function and its evolution equation for initial sets with thin boundary

M. C. Delfour et J.-P. Zolésio, Oriented distance function and its evolution equation for initial sets with thin boundary 42, 2286--2304 (electronic) (2004), , SIAM J. Control Optim.

Dynamical free boundary problem for an incompressible potential fluid flow in a time-varying domain

M. C. Delfour et J.-P. Zolésio, Dynamical free boundary problem for an incompressible potential fluid flow in a time-varying domain 12, 1--25 (2004), , J. Inverse Ill-Posed Probl.

Quantum Control: Mathematical and Numerical Challenges

A.D. Bandrauk, M.C. Delfour et C. Le Bris, Quantum Control: Mathematical and Numerical Challenges , (2003), , CRM Lecture Notes and Proceedings, vol 33, AMS Publ, R.I., ISBN 0-8218-3330-8.

Shapes and Geometries: Analysis, Differential Calculus and Optimization

M. C. Delfour et J.-P. Zolésio, Shapes and Geometries: Analysis, Differential Calculus and Optimization , (2001), , SIAM series on Advances in Design and Control, Society for Industrial and Applied Mathematics, Philadelphia, USA. ISBN 0-89871-489-3.

Characterization of the space of solutions of the membrane shell equation for arbitrary $C^{1,1}$ midsurfaces

M. C. Delfour, Characterization of the space of solutions of the membrane shell equation for arbitrary $C^{1,1}$ midsurfaces 28, 481--501 (1999), , Control Cybernet.

Boundaries, interfaces and transitions

M. C. Delfour, Boundaries, interfaces and transitions , (1998), , CRM Proc. Lecture Notes Vol. 13, Amer. Math. Soc., Providence, RI. ISBN 0-8218-0505-3.

Fixed mesh approximation of ordinary differential equations with impulses

M. Delfour et F. Dubeau, Fixed mesh approximation of ordinary differential equations with impulses 78, 377--401 (1998), , Numer. Math.

Error analysis of mixed finite elements for cylindrical shells

G. Yang, M. C. Delfour et M. Fortin, Error analysis of mixed finite elements for cylindrical shells 7, 261--277 (1997), , Adv. Comput. Math.

On the design and control of systems governed by differential equations on submanifolds

M. C. Delfour et J.-P. Zolésio, On the design and control of systems governed by differential equations on submanifolds 25, 497--514 (1996), , Control Cybernet.

Tangential differential equations for dynamical thin/shallow shells

Delfour, M. C. et Zolésio, J. P., Tangential differential equations for dynamical thin/shallow shells 128, 125--167 (1996), , J. Differential Equations

A boundary differential equation for thin shells

M. C. Delfour et J.-P. Zolésio, A boundary differential equation for thin shells 119, 426--449 (1995), , J. Differential Equations

One-sided derivative of minmax and saddle points with respect to a parameter

M. C. Delfour et J. Morgan, One-sided derivative of minmax and saddle points with respect to a parameter 31, 343--358 (1994), , Optimization

Shape analysis via oriented distance functions

M. C. Delfour et J.-P. Zolésio, Shape analysis via oriented distance functions 123, 129--201 (1994), , J. Funct. Anal.

Representation and Control of Infinite Dimensional Systems

A. Bensoussan, G. Da Prato, M.C. Delfour, et S.K. Mitter, Representation and Control of Infinite Dimensional Systems II, (1993), , Birkhäuser Boston, Inc., Boston, Basel, Berlin, ISBN 0-8176-3642-0, ISBN 3-7643-3642-0.

Structure of shape derivatives for nonsmooth domains

M. C. Delfour et J.-P. Zolésio, Structure of shape derivatives for nonsmooth domains 104, 1--33 (1992), , J. Funct. Anal.

Unbounded solutions to the linear quadratic control problem

Da Prato, G. et Delfour, M. C., Unbounded solutions to the linear quadratic control problem 30, 31--48 (1992), , SIAM J. Control Optim.

Shape Optimization and Free Boundaries

M. C. Delfour et G. Sabidussi, Shape Optimization and Free Boundaries , (1992), , Series C: Mathematical and Physical Sciences, Vol 380, Kluwer Academic Publishers, Dordrecht, Boston, London. ISBN 0-7923-1944-3.

Representation and Control of Infinite Dimensional Systems

A. Bensoussan, G. Da Prato, M.C. Delfour, et S.K. Mitter, Representation and Control of Infinite Dimensional Systems I, (1992), , Birkhäuser Boston, Inc., Boston, Basel, Berlin. ISBN 0-8176-3641-2, ISBN 3-7643-3641-2.

Noniterative approximations to the solution of the matrix Riccati differential equation

Delfour, M. C. et Ouansafi, A., Noniterative approximations to the solution of the matrix Riccati differential equation 29, 1648--1693 (1992), , SIAM J. Numer. Anal.

A complement to the differentiability of saddle points and min-max

M. C. Delfour et J. Morgan, A complement to the differentiability of saddle points and min-max 13, 87--94 (1992), , Optimal Control Appl. Methods

Optimal distribution of larvicide in running waters

Chalifour, Alain et Delfour, Michel C., Optimal distribution of larvicide in running waters 2, 264--303 (1992), , SIAM J. Optim.

Anatomy of the shape Hessian

M. C. Delfour et J.-P. Zolésio., Anatomy of the shape Hessian 159, 315--339 (1991), , Ann. Mat. Pura Appl. (4)

Velocity method and Lagrangian formulation for the computation of the shape Hessian

M. C. Delfour et J.-P. Zolésio, Velocity method and Lagrangian formulation for the computation of the shape Hessian 29, 1414--1442 (1991), , SIAM J. Control Optim.

Analyse des problèmes de forme par la dérivation des minimax

M. C. Delfour et J.-P. Zolésio, Analyse des problèmes de forme par la dérivation des minimax 6, 211--227 (1989), , Ann. Inst. H. Poincaré Anal. Non Linéaire

Shape sensitivity analysis via a penalization method

M. C. Delfour et J.-P. Zolésio, Shape sensitivity analysis via a penalization method 151, 179--212 (1988), , Ann. Mat. Pura Appl. (4)

Shape sensitivity analysis via min max differentiability

M. C. Delfour et J.-P. Zolésio, Shape sensitivity analysis via min max differentiability 26, 834--862 (1988), , SIAM J. Control Optim.

Approximation of nonlinear problems associated with radiating bodies in space

M. C. Delfour, G. Payre, G. et J.-P. Zolésio, Approximation of nonlinear problems associated with radiating bodies in space 24, 1077--1094 (1987), , SIAM J. Numer. Anal.

State space theory of linear time invariant systems with delays in state, control, and observation variables. I, II

Delfour, M. C. et Karrakchou, J., State space theory of linear time invariant systems with delays in state, control, and observation variables. I, II 125, 361--450 (1987), , J. Math. Anal. Appl.

Modeling, stabilization and control of serially connected beams

Chen, G., Delfour, M. C., Krall, A. M. et Payre, G., Modeling, stabilization and control of serially connected beams 25, 526--546 (1987), , SIAM J. Control Optim.

Stabilization of hyperbolic systems using concentrated sensors and actuators

Delfour, Michel C., Lagnese, John et Polis, Michael P., Stabilization of hyperbolic systems using concentrated sensors and actuators 31, 1091--1096 (1986), , IEEE Trans. Automat. Control

The linear-quadratic optimal control problem with delays in state and control variables: a state space approach

Delfour, M. C., The linear-quadratic optimal control problem with delays in state and control variables: a state space approach 24, 835--883 (1986), , SIAM J. Control Optim.

Dérivation d'un min max et application à la dérivation par rapport au contrôle d'une observation non différentiable de l'état

M. C. Delfour et J.-P. Zolésio, Dérivation d'un min max et application à la dérivation par rapport au contrôle d'une observation non différentiable de l'état 302, 571--574 (1986), , C. R. Acad. Sci. Paris Sér. I Math.

Discontinuous polynomial approximations in the theory of one-step, hybrid and multistep methods for nonlinear ordinary differential equations

Delfour, M. C. et Dubeau, F., Discontinuous polynomial approximations in the theory of one-step, hybrid and multistep methods for nonlinear ordinary differential equations 47, 169--189, S1--S8 (1986), , Math. Comp.

An optimal triangulation for second-order elliptic problems

M. C. Delfour, G. Payre et J.-P. Zolésio, An optimal triangulation for second-order elliptic problems 50, 231--261 (1985), , Comput. Methods Appl. Mech. Engrg.

Linear optimal control of systems with state and control variable delays

Delfour, M. C., Linear optimal control of systems with state and control variable delays 20, 69--77 (1984), , Automatica J. IFAC

Optimal design of minimum weight thermal diffuser with constraint on the output thermal power flux

M. C. Delfour, G. Payre et J.-P. Zolésio, Optimal design of minimum weight thermal diffuser with constraint on the output thermal power flux 9, 225--262 (1983), , Appl. Math. Optim.

Finite-difference solutions of a nonlinear Schrödinger equation

Delfour, M., Fortin, M. et Payre, G., Finite-difference solutions of a nonlinear Schrödinger equation 44, 277--288 (1981), , J. Comput. Phys.

Discontinuous Galerkin methods for ordinary differential equations

Delfour, M., Hager, W. et Trochu, F., Discontinuous Galerkin methods for ordinary differential equations 36, 455--473 (1981), , Math. Comp.

The structural operator $F$ and its role in the theory of retarded systems. II

Delfour, M. C. et Manitius, A., The structural operator $F$ and its role in the theory of retarded systems. II 74, 359--381 (1980), , J. Math. Anal. Appl.

The structural operator $F$ and its role in the theory of retarded systems. I

Delfour, M. C. et Manitius, A., The structural operator $F$ and its role in the theory of retarded systems. I 73, 466--490 (1980), , J. Math. Anal. Appl.

The largest class of hereditary systems defining a $C_{0}$ semigroup on the product space

Delfour, M. C., The largest class of hereditary systems defining a $C_{0}$ semigroup on the product space 32, 969--978 (1980), , Canad. J. Math.

$F$-reduction of the operator Riccati equation for hereditary differential systems

Delfour, M. C., Lee, E. B. et Manitius, A., $F$-reduction of the operator Riccati equation for hereditary differential systems 14, 385--395 (1978), , Automatica---J. IFAC

State theory of linear hereditary differential systems

Delfour, M. C., State theory of linear hereditary differential systems 60, 8--35 (1977), , J. Math. Anal. Appl.

Compte rendu du Deuxième Colloque CRM-IRIA

M. C. Delfour, Compte rendu du Deuxième Colloque CRM-IRIA 1, no. 2, (1977), , Ann. Sci. Math. Québec

The linear quadratic optimal control problem for hereditary differential systems: theory and numerical solution

Delfour, M. C., The linear quadratic optimal control problem for hereditary differential systems: theory and numerical solution 3, 101--162 (1976), , Appl. Math. Optim.

Stability and the infinite-time quadratic cost problem for linear hereditary differential systems

Delfour, M. C., McCalla, C. et Mitter, S. K., Stability and the infinite-time quadratic cost problem for linear hereditary differential systems 13, 48--88 (1975), , SIAM J. Control

Hereditary differential systems with constant delays. II. A class of affine systems and the adjoint problem

Delfour, M. C. et Mitter, S. K., Hereditary differential systems with constant delays. II. A class of affine systems and the adjoint problem 18, 18--28 (1975), , J. Differential Equations

Actes du Colloque sur la théorie des systèmes et la gestion scientifique des services publics

M. C. Delfour et A. Haurie, Actes du Colloque sur la théorie des systèmes et la gestion scientifique des services publics , (1975), , ACFAS - CRM - HEC, Montréal.

Individual and collective rationality in a dynamic Pareto equilibrium

Haurie, A. et Delfour, M. C., Individual and collective rationality in a dynamic Pareto equilibrium 13, 290--302 (1974), , J. Optimization Theory Appl.

Function spaces with a projective limit structure

Delfour, Michel C., Function spaces with a projective limit structure 42, 554--568 (1973), , J. Math. Anal. Appl.

Hereditary differential systems with constant delays. I. General case

Delfour, M. C. et Mitter, S. K., Hereditary differential systems with constant delays. I. General case 12, 213--235; erratum, ibid. 14\ (1973), 397 (1972), , J. Differential Equations

Controllability and observability for infinite-dimensional systems

Delfour, M. C. et Mitter, S. K., Controllability and observability for infinite-dimensional systems 10, 329--333 (1972), , SIAM J. Control

Controllability, observability and optimal feedback control of affine hereditary differential systems

Delfour, M. C. et Mitter, S. K., Controllability, observability and optimal feedback control of affine hereditary differential systems 10, 298--328 (1972), , SIAM J. Control

Le contrôle optimal de systèmes gouvernés par des équations différentielles héréditaires affines

Delfour, Michel et Mitter, Sanjoy, Le contrôle optimal de systèmes gouvernés par des équations différentielles héréditaires affines 272, A1715--A1718 (1971), , C. R. Acad. Sci. Paris Sér. A-B

Systèmes d'équations différentielles héréditaires à retards fixes. Une classe de systèmes affines et le problème du système adjoint

Delfour, Michel et Mitter, Sanjoy, Systèmes d'équations différentielles héréditaires à retards fixes. Une classe de systèmes affines et le problème du système adjoint 272, A1109--A1112 (1971), , C. R. Acad. Sci. Paris Sér. A-B

Systémes d'équations différentielles héréditaires à retards fixes. Théorèmes d'existence et d'unicité

Delfour, Michel et Mitter, Sanjoy, Systémes d'équations différentielles héréditaires à retards fixes. Théorèmes d'existence et d'unicité 272, A382--A385 (1971), , C. R. Acad. Sci. Paris Sér. A-B

Reachability of perturbed systems and ${\rm min\,sup}$ problems

Delfour, M. C. et Mitter, S. K., Reachability of perturbed systems and ${\rm min\,sup}$ problems 7, 521--533 (1969), , SIAM J. Control

Prix et distinctions

  • Société royale du Canada Les Académies des arts, des lettres et des sciences du Canada, 1997
  • Association francophone pour le savoir (Acfas) Prix Urgel-Archambault, 1995
  • Conseil des arts du Canada Bourse Killam, 1989