# zbMATH — the first resource for mathematics

## Delfour, Michel Claude

Compute Distance To:
 Author ID: delfour.michel-c Published as: Delfour, Michel C.; Delfour, M. C.; Delfour, M.; Delfour, Michel; Delfour, M.-C. Homepage: https://dms.umontreal.ca/en/departmental-directory/professors/portrait/delfour External Links: MGP · Wikidata · dblp · GND · IdRef
 Documents Indexed: 159 Publications since 1969, including 12 Books
all top 5

#### Co-Authors

 36 single-authored 58 Zolésio, Jean-Paul 17 Mitter, Sanjoy K. 10 Garon, André 5 Da Prato, Giuseppe 5 Manitius, Andrzej Z. 4 Bensoussan, Alain 3 Doyon, Nicolas 3 Dubeau, François 3 Fortin, Michel 3 Morgan, Jacqueline 3 Trochu, Francois 2 Bandrauk, André D. 2 Haurie, Alain B. 2 Le Bris, Claude 2 Urquiza, José Manuel 2 Yang, Geng 1 Bernadou, Michel 1 Blanchet, Guillaume 1 Chalifour, Alain 1 Chen, Goong 1 Dehaes, Mathieu 1 Dri, D. N’ 1 El Hassan, Mouhammad 1 Hager, William W. 1 Huot-Chantal, Francis 1 Karrakchou, Jamila 1 Krall, Allan M. 1 Lagnese, John E. 1 Lamontagne, Steven 1 Longo, Vito 1 McCalla, Clement A. W. 1 Mghazli, Zoubida 1 Miron, Philippe 1 N’dri, Donatien 1 Polis, Michael P. 1 Rideau, P. 1 Sabidussi, Gert 1 Sbarba, Olivier Dello 1 Sorine, Michel 1 Sturm, Kevin 1 Vétel, Jérôme 1 Zhao, Jiabin
all top 5

#### Serials

 8 SIAM Journal on Control and Optimization 5 Journal of Mathematical Analysis and Applications 5 Journal of Differential Equations 4 Control and Cybernetics 4 SIAM Journal on Applied Mathematics 4 SIAM Journal on Control 3 Mathematics of Computation 3 Applied Mathematics and Optimization 3 Journal of Convex Analysis 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 3 CRM Proceedings & Lecture Notes 3 Systems & Control: Foundations & Applications 3 Pure and Applied Functional Analysis 2 Journal of Computational Physics 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Automatica 2 Journal of Functional Analysis 2 SIAM Journal on Numerical Analysis 2 Optimal Control Applications & Methods 2 Advances in Design and Control 2 MOS/SIAM Series on Optimization 1 Computer Methods in Applied Mechanics and Engineering 1 Annales des Sciences Mathématiques du Québec 1 Canadian Journal of Mathematics 1 IEEE Transactions on Automatic Control 1 Journal of Optimization Theory and Applications 1 Numerische Mathematik 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics 1 Optimization 1 Comptes Rendus de l’Académie des Sciences. Série I 1 SIAM Journal on Optimization 1 Communications in Numerical Methods in Engineering 1 Applicationes Mathematicae 1 Journal of Inverse and Ill-Posed Problems 1 Advances in Computational Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Journal of Evolution Equations 1 Communications in Information and Systems 1 NATO ASI Series. Series C. Mathematical and Physical Sciences
all top 5

#### Fields

 80 Calculus of variations and optimal control; optimization (49-XX) 41 Systems theory; control (93-XX) 38 Partial differential equations (35-XX) 34 Mechanics of deformable solids (74-XX) 28 Ordinary differential equations (34-XX) 27 Numerical analysis (65-XX) 8 Operations research, mathematical programming (90-XX) 7 Fluid mechanics (76-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Biology and other natural sciences (92-XX) 6 Functional analysis (46-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 General and overarching topics; collections (00-XX) 5 Operator theory (47-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Real functions (26-XX) 4 Differential geometry (53-XX) 3 Measure and integration (28-XX) 3 Mechanics of particles and systems (70-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

105 Publications have been cited 1,629 times in 1,325 Documents Cited by Year
Shapes and geometries. Analysis, differential calculus, and optimization. Zbl 1002.49029
Delfour, M. C.; Zolésio, J.-P.
2001
Shapes and geometries. Metrics, analysis, differential calculus, and optimization. 2nd ed. Zbl 1251.49001
Delfour, M. C.; Zolésio, J.-P.
2011
Representation and control of infinite dimensional systems. 2nd ed. Zbl 1117.93002
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
2007
Modeling, stabilization and control of serially connected beams. Zbl 0621.93053
Chen, Goong; Delfour, M. C.; Krall, A. M.; Payre, G.
1987
Finite-difference solutions of a non-linear Schrödinger equation. Zbl 0477.65086
Delfour, M.; Fortin, M.; Payre, G.
1981
Discontinuous Galerkin methods for ordinary differential equations. Zbl 0469.65053
Delfour, M.; Hager, W.; Trochu, F.
1981
Representation and control of infinite dimensional systems. Volume I. Zbl 0781.93002
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
1992
Shape analysis via oriented distance functions. Zbl 0814.49032
Delfour, Michel C.; Zolésio, Jean-Paul
1994
Controllability, observability and optimal feedback control of affine hereditary differential systems. Zbl 0242.93011
Delfour, M. C.; Mitter, S. K.
1972
The linear-quadratic optimal control problem with delays in state and control variables: A state space approach. Zbl 0606.93037
Delfour, M. C.
1986
Coupling Stokes and Darcy equations. Zbl 1134.76033
Urquiza, J. M.; N’Dri, D.; Garon, A.; Delfour, M. C.
2008
Shape sensitivity analysis via min max differentiability. Zbl 0654.49010
Delfour, M. C.; Zolésio, J.-P.
1988
Representation and control of infinite dimensional systems. Vol. 2. Zbl 0790.93016
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
1993
Hereditary differential systems with constant delays. I. General case. Zbl 0242.34055
Delfour, M. C.; Mitter, S. K.
1972
Stability and the infinite-time quadratic cost problem for linear hereditary differential systems. Zbl 0297.49020
Delfour, M. C.; McCalla, C.; Mitter, S. K.
1975
The largest class of hereditary systems defining a $$C_0$$ semigroup on the product space. Zbl 0448.34074
Delfour, M. C.
1980
Velocity method and Lagrangian formulation for the computation of the shape Hessian. Zbl 0747.49007
Delfour, Michel C.; Zolésio, Jean-Paul
1991
Hereditary differential systems with constant delays. II: A class of affine systems and the adjoint problem. Zbl 0303.34052
Delfour, M. C.; Mitter, S. K.
1975
An optimal triangulation for second-order elliptic problems. Zbl 0554.65077
Delfour, M.; Payre, G.; Zolesio, J.-P.
1985
A boundary differential equation for thin shells. Zbl 0827.73038
Delfour, M. C.; Zolésio, J. P.
1995
Oriented distance function and its evolution equation for initial sets with thin boundary. Zbl 1058.49034
Delfour, Michel C.
2004
The structural operator F and its role in the theory of retarded systems. II. Zbl 0464.34050
Delfour, M. C.; Manitius, A.
1980
Structure of shape derivatives for nonsmooth domains. Zbl 0777.49030
Delfour, M. C.; Zolésio, J. P.
1992
Anatomy of the shape Hessian. Zbl 0770.49025
Delfour, M. C.; Zolésio, J. P.
1991
The linear quadratic optimal control problem for hereditary differential systems: Theory and numerical solution. Zbl 0404.49010
Delfour, M. C.
1977
Discontinuous polynomial approximations in the theory of one-step, hybrid and multistep methods for nonlinear ordinary differential equations. Zbl 0633.65068
Delfour, M. C.; Dubeau, F.
1986
The structural operator F and its role in the theory of retarded systems. Zbl 0456.34041
Delfour, M. C.; Manitius, A.
1980
Approximation of nonlinear problems associated with radiating bodies in space. Zbl 0641.65092
Delfour, M. C.; Payre, G.; Zolésio, J.-P.
1987
State theory of linear hereditary differential systems. Zbl 0358.34071
Delfour, M. C.
1977
Reachability of perturbed systems and min sup problems. Zbl 0195.16204
Delfour, M. C.; Mitter, S. K.
1969
Tangential differential equations for dynamical thin/shallow shells. Zbl 0852.73035
Delfour, M. C.; Zolésio, J. P.
1996
Controllability and oservability for infinite-dimensional systems. Zbl 0242.93012
Delfour, M. C.; Mitter, S. K.
1972
State space theory of linear time invariant systems with delays in state, control, and observation variables. I, II. Zbl 0643.93034
Delfour, M. C.; Karrakchou, J.
1987
A numerical study of primal mixed finite element approximations of Darcy equations. Zbl 1125.76047
Urquiza, J. M.; Dri, D. N’; Garon, A.; Delfour, M. C.
2006
Shape sensitivity analysis via a penalization method. Zbl 0667.49004
Delfour, M. C.; Zolésio, J.-P.
1988
Differential equations for linear shells: Comparison between intrinsic and classical models. Zbl 0899.73287
Delfour, Michel C.; Zolésio, Jean-Paul
1997
Linear optimal control of systems with state and control variable delays. Zbl 0541.93042
Delfour, M. C.
1984
Shape analysis and optimization: Lagrangian methods and applications. Zbl 0675.49010
Delfour, M. C.; Zolésio, J. P.
1989
Supplement to: Discontinuous polynomial approximations in the theory of one-step, hybrid and multistep methods for nonlinear ordinary differential equations. Zbl 0633.65069
Delfour, M. C.; Dubeau, F.
1986
Shape analysis via distance functions: Local theory. Zbl 0955.49023
Delfour, Michel C.; Zolésio, Jean-Paul
1998
Linear quadratic differential games: Saddle point and Riccati differential equation. Zbl 1140.91025
Delfour, Michel C.
2007
Delfour, Michel C.; Sbarba, Olivier Dello
2009
Parametric semidifferentiability of minimax of Lagrangians: averaged adjoint approach. Zbl 1380.49019
Delfour, Michel C.; Sturm, Kevin
2017
Shape Hessian by the velocity method: A Lagrangian approach. Zbl 0784.93048
Delfour, M. C.; Zolésio, J. P.
1990
Representation theory for linear infinite dimensional continuous time systems. Zbl 0375.93020
Bensoussan, A.; Delfour, M. C.; Mitter, S. K.
1976
F-reduction of the operator Riccati equation for hereditary differential systems. Zbl 0405.49027
Delfour, M. C.; Lee, E. B.; Manitius, A.
1978
Dérivation d’un Min Max et application à la dérivation par rapport au contrôle d’une observation non différentiable de l’état (Differentiability of a Min Max and application to a non differentiable cost function in optimal control). Zbl 0589.49006
Delfour, Michel; Zolésio, Jean-Paul
1986
Tangential calculus and shape derivatives. Zbl 1029.49035
Delfour, Michel C.; Zolésio, Jean-Paul
2001
Anisotropic mesh adaptation on Lagrangian coherent structures. Zbl 1284.37059
Miron, Philippe; Vétel, Jérôme; Garon, André; Delfour, Michel; El Hassan, Mouhammad
2012
On the design and control of systems governed by differential equations on submanifolds. Zbl 0856.58041
Delfour, Michel C.; Zolésio, Jean-Paul
1996
Linear hereditary differential systems and their control. Zbl 0317.49018
Delfour, M. C.
1974
Numerical solution of the operator Riccati equation for the filtering of linear stochastic hereditary differential systems. Zbl 0346.93042
Delfour, M. C.
1976
Control systems with delays: areas of applications and present status of the linear theory. Zbl 0401.93001
Delfour, M. C.; Manitius, A.
1977
Error analysis of mixed finite elements for cylindrical shells. Zbl 0958.74075
Yang, Geng; Delfour, Michel C.; Fortin, Michel
1999
Introduction to optimization and semidifferential calculus. Zbl 1248.90001
Delfour, Michel C.
2012
Stabilization of hyperbolic systems using concentrated sensors and actuators. Zbl 0634.93059
Delfour, Michel C.; Lagnese, John; Polis, Michael P.
1986
A complement to the differentiability of saddle points and min-max. Zbl 0774.49018
Delfour, M. C.; Morgan, J.
1992
Shape derivatives and differentiability of min max. Zbl 0780.49029
Delfour, Michel C.
1992
Oriented distance functions in shape analysis and optimization. Zbl 0822.49030
Delfour, Michel C.; Zolésio, Jean-Paul
1995
Computation of shape gradients for mixed finite element formulation. Zbl 0883.35006
Delfour, Michel C.; Mghazli, Zoubida; Zolésio, Jean-Paul
1997
Hidden boundary smoothness for some classes of differential equations on submanifolds. Zbl 0903.35011
Delfour, Michel C.; Zolésio, Jean-Paul
1997
The new family of cracked sets and the image segmentation problem revisited. Zbl 1087.94008
Delfour, Michel C.; Zolésio, Jean-Paul
2004
Systèmes d’équations différentielles héréditaires à retards fixes. Une classe de systèmes affines et le problème du système adjoint. Zbl 0218.34064
Delfour, M.; Mitter, S.
1971
Controllability and observability for infinite-dimensional systems. Zbl 0253.93007
Delfour, M. C.; Mitter, S. K.
1972
Individual and collective rationality in a dynamic Pareto equilibrium. Zbl 0258.90055
Haurie, A.; Delfour, M. C.
1974
Uniform fat segment and cusp properties for compactness in shape optimization. Zbl 1119.49034
Delfour, Michel C.; Zolesio, Jean-Paul
2007
Quantum control: Mathematical and numerical challenges. CRM workshop, October 6–11, 2002, Montréal, Canada. Zbl 1030.00043
Bandrauk, André D. (ed.); Delfour, Michel C. (ed.); Le Bris, Claude (ed.)
2003
Modeling and design of coated stents to optimize the effect of the dose. Zbl 1075.92033
Delfour, Michel C.; Garon, Andre; Longo, Vito
2005
Optimal parametrized design of thermal diffusers for communication satellites. Zbl 0596.49019
Delfour, M. C.; Payre, G.; Zolesio, J.-P.
1986
Intrinsic differential geometric methods in the asymptotic analysis of linear thin shells. Zbl 0916.73023
Delfour, Michel C.
1998
Systèmes d’équations différentielles héréditaires à retards fixes. Théorèmes d’existence et d’unicité. Zbl 0212.12101
Delfour, M.; Mitter, S.
1971
Discontinuous finite element methods for the approximation of optimal control problems governed by hereditary differential systems. Zbl 0498.49017
Delfour, M. C.; Trochu, F.
1978
Tangential differential calculus and functional analysis on a $$C^{1,1}$$ submanifold. Zbl 0977.58004
Delfour, Michel C.
2000
Dynamical free boundary problem for an incompressible potential fluid flow in a time-varying domain. Zbl 1061.35075
Delfour, M. C.; Zolésio, J.-P.
2004
Quadratic models to fit experimental data of paclitaxel release kinetics from biodegradable polymers. Zbl 1365.92041
Blanchet, Guillaume; Delfour, Michel C.; Garon, André
2011
Intrinsic $$P(2,1)$$ thin shell model and Naghdi’s models without a priori assumption on the stress tensor. Zbl 0948.74031
Delfour, Michel C.
1999
Evolution equations for shapes and geometries. Zbl 1109.35025
Delfour, Michel C.; Zolésio, Jean-Paul
2006
Control, shape, and topological derivatives via minimax differentiability of Lagrangians. Zbl 1416.49049
Delfour, Michel C.
2018
Representations of hypersurfaces and minimal smoothness of the midsurface in the theory of shells. Zbl 1260.53018
Delfour, Michel C.
2008
Topological derivative: a semidifferential via the Minkowski content. Zbl 1410.49051
Delfour, Michel C.
2018
Curvatures and skeletons in shape optimization. Zbl 0925.93960
Delfour, M.; Zolésio, J.-P.
1996
Three-dimensional quadratic model of paclitaxel release from biodegradable polymer films. Zbl 1345.92066
Garon, André; Delfour, Michel C.
2014
Differentiability of a min max and application to optimal control and design problems. I. Zbl 0633.49005
Delfour, M. C.; Zolésio, J.-P.
1987
Differentiability of a min max and application to optimal control and design problems. II. Zbl 0633.49006
Delfour, M. C.; Zolésio, J.-P.
1987
Further development in shape sensitivity analysis via penalization method. Zbl 0667.49005
Delfour, M. C.; Zolesio, J. P.
1988
Further developments in the application of min max differentiability to shape sensitivity analysis. Zbl 0677.49015
Delfour, M. C.; Zolésio, J.-P.
1989
Optimal distribution of larvicide in running waters. Zbl 0758.92012
Chalifour, Alain; Delfour, Michel C.
1992
Shape optimization and free boundaries. Proceedings of the NATO Advanced Study Institute and Séminaire de mathématiques supérieures, held Montréal, Canada, June 25-July 13, 1990. Zbl 0753.00022
Delfour, Michel C. (ed.); Sabidussi, Gert (ed.)
1992
Shape derivatives for nonsmooth domains. Zbl 0792.49030
Delfour, M. C.; Zolésio, J. P.
1991
Intrinsic methods for control and optimization of thin shells. (Méthodes intrinsèques pour le contrôle et l’optimisation des coques minces.) Zbl 0916.73029
Delfour, Michel C.
1997
Controllability, observability and optimal feedback control of affine hereditary differential systems. Zbl 0253.93006
Delfour, M. C.; Mitter, S. K.
1972
Erratum. Hereditary differential systems with constant delays. I: General case. Zbl 0262.34056
Delfour, M. C.; Mitter, S. K.
1973
Function spaces with a projective limit structure. Zbl 0309.46034
Delfour, Michel C.
1973
Solution numérique de l’équation différentielle de Riccati rencontree en théorie de la commande optimale des systèmes hereditaires linéaires. Zbl 0312.49015
Delfour, M.
1975
One-sided derivative of Min Max and saddle points with respect to a parameter. Zbl 0815.49008
Delfour, M. C.; Morgan, J.
1994
Approximation des équations différentielles et problèmes de commande optimale. Zbl 0418.65035
Delfour, Michel; Trochu, Francois
1977
Some problems in shape optimal design for communications satellites. Zbl 0581.49003
Delfour, M. C.; Payre, G.; Zolésio, J. P.
1985
Characterization of the space of solutions of the membrane shell equation for arbitrary $$C^{1,1}$$ midsurfaces. Zbl 0981.74035
Delfour, Michel C.
1999
Hidden boundary smoothness in hyperbolic tangential problems on nonsmooth domains. Zbl 0930.35030
Delfour, Michel C.; Zolésio, Jean-Paul
1999
Optimal design of a minimum weight thermal diffuser with constraint on the output thermal power flux. Zbl 0558.49002
Delfour, M.; Payre, G.; Zolésio, J.-P.
1983
Control, shape, and topological derivatives via minimax differentiability of Lagrangians. Zbl 1416.49049
Delfour, Michel C.
2018
Topological derivative: a semidifferential via the Minkowski content. Zbl 1410.49051
Delfour, Michel C.
2018
Parametric semidifferentiability of minimax of Lagrangians: averaged adjoint approach. Zbl 1380.49019
Delfour, Michel C.; Sturm, Kevin
2017
Three-dimensional quadratic model of paclitaxel release from biodegradable polymer films. Zbl 1345.92066
Garon, André; Delfour, Michel C.
2014
Anisotropic mesh adaptation on Lagrangian coherent structures. Zbl 1284.37059
Miron, Philippe; Vétel, Jérôme; Garon, André; Delfour, Michel; El Hassan, Mouhammad
2012
Introduction to optimization and semidifferential calculus. Zbl 1248.90001
Delfour, Michel C.
2012
Drug release kinetics from biodegradable polymers via partial differential equations models. Zbl 1234.35283
Delfour, Michel C.
2012
Shapes and geometries. Metrics, analysis, differential calculus, and optimization. 2nd ed. Zbl 1251.49001
Delfour, M. C.; Zolésio, J.-P.
2011
Quadratic models to fit experimental data of paclitaxel release kinetics from biodegradable polymers. Zbl 1365.92041
Blanchet, Guillaume; Delfour, Michel C.; Garon, André
2011
Delfour, Michel C.; Sbarba, Olivier Dello
2009
Representations, composition, and decomposition of $$C^{1,1}$$-hypersurfaces. Zbl 1425.74290
Delfour, Michel C.
2009
Coupling Stokes and Darcy equations. Zbl 1134.76033
Urquiza, J. M.; N&rsquo;Dri, D.; Garon, A.; Delfour, M. C.
2008
Representations of hypersurfaces and minimal smoothness of the midsurface in the theory of shells. Zbl 1260.53018
Delfour, Michel C.
2008
Representation and control of infinite dimensional systems. 2nd ed. Zbl 1117.93002
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
2007
Linear quadratic differential games: Saddle point and Riccati differential equation. Zbl 1140.91025
Delfour, Michel C.
2007
Uniform fat segment and cusp properties for compactness in shape optimization. Zbl 1119.49034
Delfour, Michel C.; Zolesio, Jean-Paul
2007
A numerical study of primal mixed finite element approximations of Darcy equations. Zbl 1125.76047
Urquiza, J. M.; Dri, D. N&rsquo;; Garon, A.; Delfour, M. C.
2006
Evolution equations for shapes and geometries. Zbl 1109.35025
Delfour, Michel C.; Zolésio, Jean-Paul
2006
Modeling and design of coated stents to optimize the effect of the dose. Zbl 1075.92033
Delfour, Michel C.; Garon, Andre; Longo, Vito
2005
Shape identification via metrics constructed from the oriented distance function. Zbl 1167.49326
Delfour, Michel C.; Zolésio, Jean-Paul
2005
Oriented distance function and its evolution equation for initial sets with thin boundary. Zbl 1058.49034
Delfour, Michel C.
2004
The new family of cracked sets and the image segmentation problem revisited. Zbl 1087.94008
Delfour, Michel C.; Zolésio, Jean-Paul
2004
Dynamical free boundary problem for an incompressible potential fluid flow in a time-varying domain. Zbl 1061.35075
Delfour, M. C.; Zolésio, J.-P.
2004
Quantum control: Mathematical and numerical challenges. CRM workshop, October 6–11, 2002, Montréal, Canada. Zbl 1030.00043
Bandrauk, André D.; Delfour, Michel C.; Le Bris, Claude
2003
Shapes and geometries. Analysis, differential calculus, and optimization. Zbl 1002.49029
Delfour, M. C.; Zolésio, J.-P.
2001
Tangential calculus and shape derivatives. Zbl 1029.49035
Delfour, Michel C.; Zolésio, Jean-Paul
2001
Tangential differential calculus and functional analysis on a $$C^{1,1}$$ submanifold. Zbl 0977.58004
Delfour, Michel C.
2000
Error analysis of mixed finite elements for cylindrical shells. Zbl 0958.74075
Yang, Geng; Delfour, Michel C.; Fortin, Michel
1999
Intrinsic $$P(2,1)$$ thin shell model and Naghdi’s models without a priori assumption on the stress tensor. Zbl 0948.74031
Delfour, Michel C.
1999
Characterization of the space of solutions of the membrane shell equation for arbitrary $$C^{1,1}$$ midsurfaces. Zbl 0981.74035
Delfour, Michel C.
1999
Hidden boundary smoothness in hyperbolic tangential problems on nonsmooth domains. Zbl 0930.35030
Delfour, Michel C.; Zolésio, Jean-Paul
1999
Shape analysis via distance functions: Local theory. Zbl 0955.49023
Delfour, Michel C.; Zolésio, Jean-Paul
1998
Intrinsic differential geometric methods in the asymptotic analysis of linear thin shells. Zbl 0916.73023
Delfour, Michel C.
1998
Differential equations for linear shells: Comparison between intrinsic and classical models. Zbl 0899.73287
Delfour, Michel C.; Zolésio, Jean-Paul
1997
Computation of shape gradients for mixed finite element formulation. Zbl 0883.35006
Delfour, Michel C.; Mghazli, Zoubida; Zolésio, Jean-Paul
1997
Hidden boundary smoothness for some classes of differential equations on submanifolds. Zbl 0903.35011
Delfour, Michel C.; Zolésio, Jean-Paul
1997
Intrinsic methods for control and optimization of thin shells. (Méthodes intrinsèques pour le contrôle et l’optimisation des coques minces.) Zbl 0916.73029
Delfour, Michel C.
1997
Tangential differential equations for dynamical thin/shallow shells. Zbl 0852.73035
Delfour, M. C.; Zolésio, J. P.
1996
On the design and control of systems governed by differential equations on submanifolds. Zbl 0856.58041
Delfour, Michel C.; Zolésio, Jean-Paul
1996
Curvatures and skeletons in shape optimization. Zbl 0925.93960
Delfour, M.; Zolésio, J.-P.
1996
A boundary differential equation for thin shells. Zbl 0827.73038
Delfour, M. C.; Zolésio, J. P.
1995
Oriented distance functions in shape analysis and optimization. Zbl 0822.49030
Delfour, Michel C.; Zolésio, Jean-Paul
1995
Shape analysis via oriented distance functions. Zbl 0814.49032
Delfour, Michel C.; Zolésio, Jean-Paul
1994
One-sided derivative of Min Max and saddle points with respect to a parameter. Zbl 0815.49008
Delfour, M. C.; Morgan, J.
1994
Representation and control of infinite dimensional systems. Vol. 2. Zbl 0790.93016
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
1993
Representation and control of infinite dimensional systems. Volume I. Zbl 0781.93002
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
1992
Structure of shape derivatives for nonsmooth domains. Zbl 0777.49030
Delfour, M. C.; Zolésio, J. P.
1992
A complement to the differentiability of saddle points and min-max. Zbl 0774.49018
Delfour, M. C.; Morgan, J.
1992
Shape derivatives and differentiability of min max. Zbl 0780.49029
Delfour, Michel C.
1992
Optimal distribution of larvicide in running waters. Zbl 0758.92012
Chalifour, Alain; Delfour, Michel C.
1992
Shape optimization and free boundaries. Proceedings of the NATO Advanced Study Institute and Séminaire de mathématiques supérieures, held Montréal, Canada, June 25-July 13, 1990. Zbl 0753.00022
Delfour, Michel C.; Sabidussi, Gert
1992
Velocity method and Lagrangian formulation for the computation of the shape Hessian. Zbl 0747.49007
Delfour, Michel C.; Zolésio, Jean-Paul
1991
Anatomy of the shape Hessian. Zbl 0770.49025
Delfour, M. C.; Zolésio, J. P.
1991
Shape derivatives for nonsmooth domains. Zbl 0792.49030
Delfour, M. C.; Zolésio, J. P.
1991
Shape Hessian by the velocity method: A Lagrangian approach. Zbl 0784.93048
Delfour, M. C.; Zolésio, J. P.
1990
Shape analysis and optimization: Lagrangian methods and applications. Zbl 0675.49010
Delfour, M. C.; Zolésio, J. P.
1989
Further developments in the application of min max differentiability to shape sensitivity analysis. Zbl 0677.49015
Delfour, M. C.; Zolésio, J.-P.
1989
Analyse des problèmes de forme par la dérivation des minimax. (Analysis of shape problems by minimax differentiation). Zbl 0696.49008
Delfour, M.-C.; Zolésio, J.-P.
1989
Shape sensitivity analysis via min max differentiability. Zbl 0654.49010
Delfour, M. C.; Zolésio, J.-P.
1988
Shape sensitivity analysis via a penalization method. Zbl 0667.49004
Delfour, M. C.; Zolésio, J.-P.
1988
Further development in shape sensitivity analysis via penalization method. Zbl 0667.49005
Delfour, M. C.; Zolesio, J. P.
1988
Modeling, stabilization and control of serially connected beams. Zbl 0621.93053
Chen, Goong; Delfour, M. C.; Krall, A. M.; Payre, G.
1987
Approximation of nonlinear problems associated with radiating bodies in space. Zbl 0641.65092
Delfour, M. C.; Payre, G.; Zolésio, J.-P.
1987
State space theory of linear time invariant systems with delays in state, control, and observation variables. I, II. Zbl 0643.93034
Delfour, M. C.; Karrakchou, J.
1987
Differentiability of a min max and application to optimal control and design problems. I. Zbl 0633.49005
Delfour, M. C.; Zolésio, J.-P.
1987
Differentiability of a min max and application to optimal control and design problems. II. Zbl 0633.49006
Delfour, M. C.; Zolésio, J.-P.
1987
The linear-quadratic optimal control problem with delays in state and control variables: A state space approach. Zbl 0606.93037
Delfour, M. C.
1986
Discontinuous polynomial approximations in the theory of one-step, hybrid and multistep methods for nonlinear ordinary differential equations. Zbl 0633.65068
Delfour, M. C.; Dubeau, F.
1986
Supplement to: Discontinuous polynomial approximations in the theory of one-step, hybrid and multistep methods for nonlinear ordinary differential equations. Zbl 0633.65069
Delfour, M. C.; Dubeau, F.
1986
Dérivation d’un Min Max et application à la dérivation par rapport au contrôle d’une observation non différentiable de l’état (Differentiability of a Min Max and application to a non differentiable cost function in optimal control). Zbl 0589.49006
Delfour, Michel; Zolésio, Jean-Paul
1986
Stabilization of hyperbolic systems using concentrated sensors and actuators. Zbl 0634.93059
Delfour, Michel C.; Lagnese, John; Polis, Michael P.
1986
Optimal parametrized design of thermal diffusers for communication satellites. Zbl 0596.49019
Delfour, M. C.; Payre, G.; Zolesio, J.-P.
1986
An optimal triangulation for second-order elliptic problems. Zbl 0554.65077
Delfour, M.; Payre, G.; Zolesio, J.-P.
1985
Some problems in shape optimal design for communications satellites. Zbl 0581.49003
Delfour, M. C.; Payre, G.; Zolésio, J. P.
1985
Linear optimal control of systems with state and control variable delays. Zbl 0541.93042
Delfour, M. C.
1984
Optimal design of a minimum weight thermal diffuser with constraint on the output thermal power flux. Zbl 0558.49002
Delfour, M.; Payre, G.; Zolésio, J.-P.
1983
Optimal and suboptimal design of thermal diffusers for communication satellites. Zbl 0564.49001
Delfour, M. C.; Payre, G.; Zolésio, J.-P.
1983
Finite-difference solutions of a non-linear Schrödinger equation. Zbl 0477.65086
Delfour, M.; Fortin, M.; Payre, G.
1981
Discontinuous Galerkin methods for ordinary differential equations. Zbl 0469.65053
Delfour, M.; Hager, W.; Trochu, F.
1981
The largest class of hereditary systems defining a $$C_0$$ semigroup on the product space. Zbl 0448.34074
Delfour, M. C.
1980
The structural operator F and its role in the theory of retarded systems. II. Zbl 0464.34050
Delfour, M. C.; Manitius, A.
1980
The structural operator F and its role in the theory of retarded systems. Zbl 0456.34041
Delfour, M. C.; Manitius, A.
1980
F-reduction of the operator Riccati equation for hereditary differential systems. Zbl 0405.49027
Delfour, M. C.; Lee, E. B.; Manitius, A.
1978
Discontinuous finite element methods for the approximation of optimal control problems governed by hereditary differential systems. Zbl 0498.49017
Delfour, M. C.; Trochu, F.
1978
The linear quadratic optimal control problem for hereditary differential systems: Theory and numerical solution. Zbl 0404.49010
Delfour, M. C.
1977
State theory of linear hereditary differential systems. Zbl 0358.34071
Delfour, M. C.
1977
Control systems with delays: areas of applications and present status of the linear theory. Zbl 0401.93001
Delfour, M. C.; Manitius, A.
1977
Approximation des équations différentielles et problèmes de commande optimale. Zbl 0418.65035
Delfour, Michel; Trochu, Francois
1977
Representation theory for linear infinite dimensional continuous time systems. Zbl 0375.93020
Bensoussan, A.; Delfour, M. C.; Mitter, S. K.
1976
Numerical solution of the operator Riccati equation for the filtering of linear stochastic hereditary differential systems. Zbl 0346.93042
Delfour, M. C.
1976
Stability and the infinite-time quadratic cost problem for linear hereditary differential systems. Zbl 0297.49020
Delfour, M. C.; McCalla, C.; Mitter, S. K.
1975
Hereditary differential systems with constant delays. II: A class of affine systems and the adjoint problem. Zbl 0303.34052
Delfour, M. C.; Mitter, S. K.
1975
Solution numérique de l’équation différentielle de Riccati rencontree en théorie de la commande optimale des systèmes hereditaires linéaires. Zbl 0312.49015
Delfour, M.
1975
Linear hereditary differential systems and their control. Zbl 0317.49018
Delfour, M. C.
1974
Individual and collective rationality in a dynamic Pareto equilibrium. Zbl 0258.90055
Haurie, A.; Delfour, M. C.
1974
Erratum. Hereditary differential systems with constant delays. I: General case. Zbl 0262.34056
Delfour, M. C.; Mitter, S. K.
1973
Function spaces with a projective limit structure. Zbl 0309.46034
Delfour, Michel C.
1973
Controllability, observability and optimal feedback control of affine hereditary differential systems. Zbl 0242.93011
Delfour, M. C.; Mitter, S. K.
1972
Hereditary differential systems with constant delays. I. General case. Zbl 0242.34055
Delfour, M. C.; Mitter, S. K.
1972
Controllability and oservability for infinite-dimensional systems. Zbl 0242.93012
Delfour, M. C.; Mitter, S. K.
1972
...and 5 more Documents
all top 5

#### Cited by 1,741 Authors

 26 Zolésio, Jean-Paul 22 Delfour, Michel Claude 19 Kunisch, Karl 18 Baccouch, Mahboub 17 Guo, Bao-Zhu 15 Harbrecht, Helmut 15 Raymond, Jean-Pierre 15 Sturm, Kevin 13 Laurain, Antoine 13 Xu, Gen-Qi 12 Gozzi, Fausto 12 Ma, Yichen 11 Dapogny, Charles 11 Lasiecka, Irena 9 Fabbri, Giorgio 9 Gao, Zhiming 9 Schulz, Volker H. 8 Badra, Mehdi 8 Cagnol, John 8 Glizer, Valery Y. 8 Larson, Mats G. 8 Pandolfi, Luciano 8 Schmidt, Stephan 8 Yan, Wenjing 8 Zhu, Shengfeng 7 Allaire, Grégoire 7 Ammari, Kais 7 Barbu, Viorel 7 Cannarsa, Piermarco 7 Dambrine, Marc 7 Gatica, Gabriel N. 7 Lorenz, Thomas 7 Sokołowski, Jan 7 Tucsnak, Marius 6 Adjerid, Slimane 6 Burger, Martin 6 Castillo, Paul E. 6 Curtain, Ruth Frances 6 Federico, Salvatore 6 Frankowska, Hélène 6 Han, Zhongjie 6 Hansbo, Peter 6 He, Xiaoming 6 Ito, Kazufumi 6 Maity, Debayan 6 Mitra, Debanjana 6 Ramaswamy, Mythily 6 Siebenborn, Martin 6 Takahashi, Takéo 6 Wachsmuth, Gerd 6 Welker, Kathrin 6 Zhang, Huanshui 5 Aksikas, Ilyasse 5 Basin, Michael V. 5 Boucekkine, Raouf 5 Breiten, Tobias 5 Estep, Donald J. 5 Gómez, Sergio Alejandro 5 Hadd, Said 5 Henríquez, Hernán R. 5 Manitius, Andrzej Z. 5 Meftahi, Houcine 5 Mena, Hermann 5 Nazarov, Sergeĭ Aleksandrovich 5 Oyarzúa, Ricardo 5 Peichl, Gunther H. 5 Privat, Yannick 5 Rabago, Julius Fergy Tiongson 5 van der Merwe, Alna 5 Verduyn Lunel, Sjoerd M. 5 Wang, Junmin 4 Barmish, B. Ross 4 Bashirov, Agamirza E. 4 Benner, Peter 4 Chapelle, Dominique 4 Chen, Chuanmiao 4 Chowdhury, Shirshendu 4 Colonius, Fritz 4 Dağ, İdris 4 Eppler, Karsten 4 Faggian, Silvia 4 Feppon, Florian 4 Gangl, Peter 4 Garcke, Harald 4 Garon, André 4 Guo, Yanni 4 Herzog, Roland 4 Hou, Yanren 4 Huang, Chengming 4 Jin, Fengfei 4 Kaltenbacher, Barbara 4 Kasumba, Henry 4 Kobayashi, Toshihiro 4 Kovtunenko, Viktor Anatolievich 4 Lebiedzik, Catherine Geraldine 4 Li, Jian 4 Maksimov, Vyacheslav Ivanovich 4 Matsuo, Takayasu 4 Mercier, Denis 4 Milman, Mark H. ...and 1,641 more Authors
all top 5

#### Cited in 274 Serials

 57 Journal of Mathematical Analysis and Applications 56 Computer Methods in Applied Mechanics and Engineering 47 Journal of Differential Equations 47 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 44 SIAM Journal on Control and Optimization 38 Journal of Optimization Theory and Applications 37 Systems & Control Letters 35 Journal of Computational Physics 35 Applied Mathematics and Computation 34 International Journal of Control 30 Automatica 27 Applied Mathematics and Optimization 27 Journal of Computational and Applied Mathematics 24 Journal of Scientific Computing 22 Applied Numerical Mathematics 16 Computers & Mathematics with Applications 16 SIAM Journal on Scientific Computing 14 Numerische Mathematik 12 Mathematics of Computation 12 Journal of Evolution Equations 11 Mathematical Methods in the Applied Sciences 11 SIAM Journal on Numerical Analysis 11 SIAM Journal on Mathematical Analysis 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 11 Nonlinear Analysis. Theory, Methods & Applications 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Discrete and Continuous Dynamical Systems 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Computational Mechanics 9 Evolution Equations and Control Theory 8 Journal of the Franklin Institute 8 Kybernetika 8 Numerical Functional Analysis and Optimization 8 Numerical Methods for Partial Differential Equations 8 Numerical Algorithms 7 Integral Equations and Operator Theory 7 International Journal for Numerical Methods in Engineering 7 Applied Mathematics Letters 7 MCSS. Mathematics of Control, Signals, and Systems 7 SIAM Journal on Applied Mathematics 7 Computational Optimization and Applications 7 Advances in Computational Mathematics 7 Abstract and Applied Analysis 7 Differential Equations 6 Applicable Analysis 6 Journal of Functional Analysis 6 Mathematics and Computers in Simulation 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Mathematical and Computer Modelling 6 Journal of Mathematical Imaging and Vision 6 Mathematical Control and Related Fields 5 Inverse Problems 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 BIT 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 International Journal of Computer Mathematics 5 International Journal of Robust and Nonlinear Control 5 Set-Valued Analysis 5 European Journal of Control 5 Journal of Vibration and Control 5 Nonlinear Dynamics 5 Nonlinear Analysis. Real World Applications 5 Journal of Systems Science and Complexity 4 Archive for Rational Mechanics and Analysis 4 International Journal of Systems Science 4 Journal of Engineering Mathematics 4 Journal of Fluid Mechanics 4 Wave Motion 4 Mathematical Systems Theory 4 Applied Mathematics and Mechanics. (English Edition) 4 The Journal of Geometric Analysis 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 SIAM Journal on Optimization 4 Engineering Analysis with Boundary Elements 4 Journal of Mathematical Fluid Mechanics 4 Acta Mathematica Sinica. English Series 4 Journal of Dynamical and Control Systems 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Calcolo 3 Journal of Economic Theory 3 Journal of Mathematical Economics 3 Journal of Soviet Mathematics 3 Transactions of the American Mathematical Society 3 Stochastic Analysis and Applications 3 Acta Applicandae Mathematicae 3 Optimization 3 Japan Journal of Industrial and Applied Mathematics 3 Applications of Mathematics 3 Communications in Partial Differential Equations 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Stochastic Processes and their Applications 3 Calculus of Variations and Partial Differential Equations 3 Journal of Mathematical Sciences (New York) 3 St. Petersburg Mathematical Journal 3 Journal of Inverse and Ill-Posed Problems 3 Mathematical Problems in Engineering 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Computational Geosciences 3 The ANZIAM Journal 3 Communications on Pure and Applied Analysis ...and 174 more Serials
all top 5

#### Cited in 46 Fields

 515 Partial differential equations (35-XX) 408 Numerical analysis (65-XX) 402 Systems theory; control (93-XX) 380 Calculus of variations and optimal control; optimization (49-XX) 220 Mechanics of deformable solids (74-XX) 170 Fluid mechanics (76-XX) 163 Ordinary differential equations (34-XX) 91 Operator theory (47-XX) 59 Probability theory and stochastic processes (60-XX) 46 Operations research, mathematical programming (90-XX) 32 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 30 Optics, electromagnetic theory (78-XX) 28 Dynamical systems and ergodic theory (37-XX) 28 Integral equations (45-XX) 28 Biology and other natural sciences (92-XX) 26 Functional analysis (46-XX) 24 Computer science (68-XX) 19 Global analysis, analysis on manifolds (58-XX) 19 Classical thermodynamics, heat transfer (80-XX) 18 Real functions (26-XX) 18 Mechanics of particles and systems (70-XX) 18 Quantum theory (81-XX) 16 Differential geometry (53-XX) 14 Information and communication theory, circuits (94-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Approximations and expansions (41-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Potential theory (31-XX) 5 Measure and integration (28-XX) 5 Manifolds and cell complexes (57-XX) 3 Convex and discrete geometry (52-XX) 3 General topology (54-XX) 3 Statistics (62-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) 1 Mathematics education (97-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.