Edit Profile (opens in new tab) Bonnans, Joseph Frédéric Compute Distance To: Compute Author ID: bonnans.joseph-frederic Published as: Bonnans, J. Frédéric; Bonnans, J. F.; Bonnans, Joseph Frédéric; Bonnans, Frédéric; Frédéric Bonnans, J.; Bonnans, Frederic; Bonnans, F.; Bonnans, Joseph Frederic; Bonnans, Joseph Fréderic; Bonnans, J. Frédéric; Bonnans, Frédéric J.; Bonnans, J. Homepage: http://www.cmap.polytechnique.fr/~bonnans/ External Links: MGP Documents Indexed: 140 Publications since 1983, including 8 Books 1 Contribution as Editor Reviewing Activity: 175 Reviews Co-Authors: 79 Co-Authors with 117 Joint Publications 1,186 Co-Co-Authors all top 5 Co-Authors 23 single-authored 11 Casas, Eduardo 8 Aronna, María Soledad 8 Shapiro, Alexander 8 Zidani, Housnaa 7 Silva, Francisco J. 6 Hermant, Audrey 6 Kröner, Axel 5 Cominetti, Roberto 5 Gianatti, Justina 5 Pfeiffer, Laurent 5 Sagastizábal, Claudia A. 5 Tiba, Dan 4 Gilbert, Jean Charles 4 Ioffe, Alexander Davidovich 4 Lemaréchal, Claude 3 Dupuis, Xavier 3 Gabay, Daniel 3 Martinon, Pierre 3 Osmolovskiĭ, Nikolaĭ Pavlovich 2 Ben Latifa, Imène 2 Blanchon, G. 2 Bonnet, Guillaume 2 Cen, Zhihao 2 Christel, Thibault 2 Dodu, Jean-Claude 2 Gonzaga, Clovis C. 2 Haddou, Mounir 2 Launay, Geneviève 2 Laurent-Varin, Julien 2 Maroso, Stefania 2 Mirebeau, Jean-Marie 2 Mnif, Mohamed 2 Pola, Cecilia 2 Sánchez Fernández De La Vega, Constanza 1 Adam, Soizic 1 Aftalion, Amandine 1 Alvarez, Felipe 1 André, Matthieu A. 1 Barbu, Viorel 1 Bayen, Térence 1 Bérend, Nicolas 1 Bessi Fourati, R. 1 Bolte, Jérôme 1 Bouhtou, Mustapha 1 Chartier, Philippe 1 Cornibert, Laurent 1 Dmitruk, Andrei V. 1 Festa, Adriano 1 Gaubert, Stéphane 1 Gaudrat, Véronique F. 1 Goh, Bean San 1 Gregorutti, Baptiste 1 Guibaud, Th. 1 Guilbaud, Thérèse 1 Hadikhanloo, Saeed 1 Jaisson, Pascal 1 Ketfi-Cherif, Ahmed 1 Lavigne, Pierre 1 Lebelle, Marc 1 Lobo, Miguel Sousa 1 Lotito, Pablo A. 1 Ottenwaelter, Élisabeth 1 Panier, Eliane R. 1 Paraisy, Ruben 1 Potra, Florian-Alexandru 1 Ramírez C., Héctor 1 Rébai, Raja 1 Rommel, Cédric 1 Rouchon, Pierre 1 Saguez, Christian 1 Serea, Oana-Silvia 1 Sulem, Agnès 1 Talbot, Christophe 1 Tan, Xiaolu 1 Tits, André Leon 1 Trélat, Emmanuel 1 Veyrat, Sébastien 1 von Wissel, Dirk 1 Wahid, F. all top 5 Serials 17 SIAM Journal on Control and Optimization 10 Mathematical Programming. Series A. Series B 7 Applied Mathematics and Optimization 6 Journal of Optimization Theory and Applications 5 Mathematics of Operations Research 5 SIAM Journal on Optimization 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 SIAM Journal on Numerical Analysis 3 Universitext 2 Control and Cybernetics 2 Numerical Functional Analysis and Optimization 2 SIAM Journal on Applied Mathematics 2 Journal of Convex Analysis 2 Optimization Methods & Software 2 Optimization and Engineering 2 RAIRO. Operations Research 2 Set-Valued and Variational Analysis 1 IMA Journal of Numerical Analysis 1 Journal of Mathematical Analysis and Applications 1 Mathematics of Computation 1 Analele Științifice ale Universității Al. I. Cuza din Iași. (Serie Nouă.) Secțiunea Ia. Matematică-Informatică 1 Journal of Differential Equations 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 RAIRO. Recherche Opérationnelle 1 Transactions of the American Mathematical Society 1 Optimal Control Applications & Methods 1 Large Scale Systems 1 Systems & Control Letters 1 Stochastic Analysis and Applications 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Optimization 1 Revista de Matemáticas Aplicadas 1 Annals of Operations Research 1 Journal of Global Optimization 1 European Journal of Operational Research 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Review 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Bulletin de la Direction des Études et Recherches. Série C 1 Computational Optimization and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Mathematical Reports 1 Stochastics and Dynamics 1 ISNM. International Series of Numerical Mathematics 1 Mathématiques & Applications (Berlin) 1 Monografías del Instituto de Matemática y Ciencias Afines 1 Mathematical Modelling of Natural Phenomena 1 SIAM Journal on Financial Mathematics 1 Matapli 1 Annals of the Academy of Romanian Scientists. Mathematics and its Applications 1 Numerical Algebra, Control and Optimization 1 Mathematical Control and Related Fields all top 5 Fields 96 Calculus of variations and optimal control; optimization (49-XX) 73 Operations research, mathematical programming (90-XX) 30 Partial differential equations (35-XX) 28 Numerical analysis (65-XX) 24 Systems theory; control (93-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Ordinary differential equations (34-XX) 3 Probability theory and stochastic processes (60-XX) 3 Biology and other natural sciences (92-XX) 3 Information and communication theory, circuits (94-XX) 2 Statistics (62-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of deformable solids (74-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 106 Publications have been cited 2,048 times in 1,618 Documents Cited by ▼ Year ▼ Perturbation analysis of optimization problems. Zbl 0966.49001Bonnans, J. Frédéric; Shapiro, Alexander 775 2000 Numerical optimization. Theoretical and practical aspects. Transl. from the French. 2nd reviseded. Zbl 1108.65060Bonnans, J. Frédéric; Gilbert, J. Charles; Lemaréchal, Claude; Sagastizábal, Claudia A. 105 2006 Second order optimality conditions based on parabolic second order tangent sets. Zbl 0990.90127Bonnans, J. Frédéric; Cominetti, Roberto; Shapiro, Alexander 72 1999 Perturbation analysis of second-order cone programming problems. Zbl 1124.90039Bonnans, J. Frédéric; Ramírez C., Héctor 68 2005 Local analysis of Newton-type methods for variational inequalities and nonlinear programming. Zbl 0809.90115Bonnans, J. Frédéric 55 1994 Optimization problems with perturbations: A guided tour. Zbl 0915.49021Bonnans, J. Frédéric; Shapiro, Alexander 48 1998 Avoiding the Maratos effect by means of a nonmonotone line search. II: Inequality constrained problems — feasible iterates. Zbl 0763.65042Bonnans, J. Frédéric; Panier, Eliane R.; Tits, André L.; Zhou, Jian L. 38 1992 Second-order analysis for control constrained optimal control problems of semilinear elliptic systems. Zbl 0917.49020Bonnans, J. F. 37 1998 Optimal control problems with partially polyhedric constraints. Zbl 0945.49020Bonnans, J. Frédéric; Zidani, Housnaa 32 1999 A family of variable metric proximal methods. Zbl 0832.90102Bonnans, J. F.; Gilbert, J. Ch.; Lemaréchal, C.; Sagastizábal, C. A. 31 1995 Pontryagin’s principle in the control of semilinear elliptic variational inequalities. Zbl 0728.49003Bonnans, J. F.; Tiba, D. 30 1991 An extension of Pontryagin’s principle for state-constrained optimal control of semilinear elliptic equations and variational inequalities. Zbl 0821.49018Bonnans, Frédéric; Casas, Eduardo 30 1995 Quadratic order conditions for bang-singular extremals. Zbl 1252.49028Aronna, M. Soledad; Bonnans, J. Frédéric; Dmitruk, Andrei V.; Lotito, Pablo A. 30 2012 A fast algorithm for the two dimensional HJB equation of stochastic control. Zbl 1130.93433Bonnans, J. Frédéric; Ottenwaelter, Élisabeth; Zidani, Housnaa 29 2004 Consistency of generalized finite difference schemes for the stochastic HJB equation. Zbl 1130.49307Bonnans, J. Frédéric; Zidani, Housnaa 28 2003 Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints. Zbl 1158.49023Bonnans, J. Frédéric; Hermant, Audrey 27 2009 Characterization of local quadratic growth for strong minima in the optimal control of semi-linear elliptic equations. Zbl 1297.49004Bayen, Térence; Bonnans, J. Frédéric; Silva, Francisco J. 24 2014 A trust region interior point algorithm for linearly constrained optimization. Zbl 0899.90146Bonnans, J. Frédéric; Pola, Cecilia 22 1997 Optimal control of semilinear multistate systems with state constraints. Zbl 0667.49014Bonnans, Joseph Frederic; Casas, Eduardo 21 1989 Convergence of interior point algorithms for the monotone linear complementarity problem. Zbl 0846.90109Bonnans, J. Frédéric; Gonzaga, Clovis C. 21 1996 First and second order necessary conditions for stochastic optimal control problems. Zbl 1244.49045Bonnans, J. Frédéric; Silva, Francisco J. 21 2012 Numerical optimization. Theoretical and practical aspects. Transl. from the French. Zbl 1014.65045Bonnans, J. Frédéric; Gilbert, J. Charles; Lemaréchal, Claude; Sagastizábal, Claudia A. 20 2003 Computation of order conditions for symplectic partitioned Runge-Kutta schemes with application to optimal control. Zbl 1112.65063Bonnans, J. Frédéric; Laurent-Varin, Julien 20 2006 Sensitivity analysis of optimization problems under second order regular constraints. Zbl 0977.90053Bonnans, J. Frédéric; Cominetti, Roberto; Shapiro, Alexander 19 1998 No-gap second-order optimality conditions for optimal control problems with a single state constraint and control. Zbl 1167.49021Bonnans, J. Frédéric; Hermant, Audrey 17 2009 Optimal control of a parabolic equation with time-dependent state constraints. Zbl 1208.49024Bonnans, J. Frédéric; Jaisson, Pascal 16 2010 A shooting algorithm for optimal control problems with singular Arcs. Zbl 1275.49045Soledad Aronna, M.; Frédéric Bonnans, J.; Martinon, Pierre 15 2013 Second-order sufficiency and quadratic growth for nonisolated minima. Zbl 0846.90095Bonnans, Joseph Frédéric; Ioffe, Alexander 14 1995 Numerical optimization. Theoretical and practice aspects. (Optimisation numérique. Aspects théoretiques et pratiques.) Zbl 0952.65044Bonnans, Frédéric J.; Gilbert, Jean Charles; Lemaréchal, Claude; Sagastizábal, Claudia 12 1997 Well-posedness of the shooting algorithm for state constrained optimal control problems with a single constraint and control. Zbl 1251.49036Bonnans, J. Frédéric; Hermant, Audrey 12 2007 On an algorithm for optimal control using Pontryagin’s maximum principle. Zbl 0592.49018Bonnans, Joseph Frédéric 11 1986 A model-free no-arbitrage price bound for variance options. Zbl 1272.93135Bonnans, J. Frédéric; Tan, Xiaolu 11 2013 Error estimates for the Euler discretization of an optimal control problem with first-order state constraints. Zbl 1394.49029Bonnans, J. Frédéric; Festa, Adriano 11 2017 Contrôle de systèmes elliptiques semilinéaires comportant des contraintes sur l’état. (Control of semilinear elliptic systems with state constraints). Zbl 0656.49011Bonnans, J. F.; Casas, E. 10 1988 Second-order necessary conditions in Pontryagin form for optimal control problems. Zbl 1326.49028Bonnans, J. Frédéric; Dupuis, Xavier; Pfeiffer, Laurent 10 2015 First- and second-order optimality conditions for optimal control problems of state constrained integral equations. Zbl 1354.49053Bonnans, J. Frédéric; de la Vega, Constanza; Dupuis, Xavier 10 2013 Stability and sensitivity analysis for optimal control problems with a first-order state constraint and application to continuation methods. Zbl 1148.49026Bonnans, Joseph Frédéric; Hermant, Audrey 10 2008 Singular arcs in the generalized Goddard’s problem. Zbl 1159.49027Bonnans, F.; Martinon, P.; Trélat, E. 10 2009 Second-order analysis of optimal control problems with control and initial-final state constraints. Zbl 1207.49020Bonnans, J. Frédéric; Osmolovskiĭ, N. P. 10 2010 Pseudopower expansion of solutions of generalized equations and constrained optimization problems. Zbl 0842.65044Bonnans, Joseph Frédéric; Sulem, Agnès 9 1995 Un principe de Pontryagine pour le contrôle des systèmes semilinéaires elliptiques. (A Pontryagin principle for control of semilinear elliptic systems). Zbl 0742.93035Bonnans, Joseph Frédéric; Casas, Eduardo 9 1991 Optimization of capacity expansion planning for gas transportation networks. Zbl 1176.90045Andre, Jean; Bonnans, Frédéric; Cornibert, Laurent 9 2009 Sequential quadratic programming with penalization of the displacement. Zbl 0841.90110Bonnans, J. F.; Launay, G. 8 1995 Second order analysis of control-affine problems with scalar state constraint. Zbl 1352.49020Aronna, M. S.; Bonnans, J. F.; Goh, B. S. 8 2016 Revisiting the analysis of optimal control problems with several state constraints. Zbl 1242.49046Bonnans, J.; Hermant, A. 8 2009 Energy contracts management by stochastic programming techniques. Zbl 1254.90132Bonnans, J. Frédéric; Cen, Zhihao; Christel, Thibault 8 2012 Nondegeneracy and quantitative stability of parameterized optimization problems with multiple solutions. Zbl 0912.90266Bonnans, J. Frédéric; Shapiro, Alexander 7 1998 Optimal structure of gas transmission trunklines. Zbl 1272.90005André, Jean; Bonnans, J. Frédéric 7 2011 Using logarithmic penalties in the shooting algorithm for optimal control problems. Zbl 1073.49022Bonnans, J. F.; Guibaud, Th. 7 2003 Error estimates for stochastic differential games: the adverse stopping case. Zbl 1130.91014Bonnans, J. Frédéric; Maroso, Stefania; Zidani, Housnaa 7 2006 Optimal control of state constrained integral equations. Zbl 1221.49039Bonnans, Joseph Frédéric; Sánchez Fernández de la Vega, Constanza 7 2010 Error estimates for a stochastic impulse control problem. Zbl 1127.93057Bonnans, Frederic; Maroso, Stefania; Zidani, Housnaa 6 2007 The trust region affine interior point algorithm for convex and nonconvex quadratic programming. Zbl 0835.90061Bonnans, J. F.; Bouhtou, M. 6 1995 Optimization of running strategies based on anaerobic energy and variations of velocity. Zbl 1307.49002Aftalion, Amandine; Bonnans, J. Frédéric 6 2014 On the convergence of the iteration sequence of infeasible path following algorithms for linear complementarity problems. Zbl 0883.90117Bonnans, J. Frédéric; Potra, Florian A. 6 1997 Asymptotic expansion for the solutions of control constrained semilinear elliptic problems with interior penalties. Zbl 1323.49002Bonnans, J. Frédéric; Silva, Francisco J. 6 2011 Mathematical study of very high voltage power networks. I: The optimal DC power flow problem. Zbl 0922.49019Bonnans, J. Frédéric 5 1997 Quadratic growth and stability in convex programming problems with multiple solutions. Zbl 0839.90090Bonnans, J. Frédéric; Ioffe, Alexander D. 5 1995 Sensitivity analysis of parametrized programs under cone constraints. Zbl 0766.90076Shapiro, A.; Bonnans, J. F. 5 1992 On the choice of the function spaces for some state-constrained control problems. Zbl 0589.49016Bonnans, J. F.; Casas, E. 5 1985 On the stability of sets defined by a finite number of equalities and inequalities. Zbl 0794.93096Bonnans, J. F.; Launay, G. 5 1991 Fast convergence of the simplified largest step path following algorithm. Zbl 0881.90114Gonzaga, Clovis C.; Bonnans, J. Frédéric 5 1997 A general optimal multiple stopping problem with an application to swing options. Zbl 1327.60098Ben Latifa, Imène; Bonnans, Joseph Frédéric; Mnif, Mohamed 5 2015 Mathematical study of very high voltage power networks. II: The AC power flow problem. Zbl 0922.49020Bonnans, J. Frédéric 4 1998 Perturbed optimization in Banach spaces. I: A general theory based on a weak directional constraint qualification. Zbl 0862.49022Bonnans, J. Frédéric; Cominetti, Roberto 4 1996 A boundary Pontryagin’s principle for the optimal control of state- constrained elliptic systems. Zbl 0769.49017Bonnans, J. Frédéric; Casas, Eduardo 4 1992 Mathematical study of very high voltage power networks. III: The optimal AC power flow problem. Zbl 0973.49021Bonnans, J. Frédéric 4 2000 Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations. Zbl 1454.49028Aronna, M. Soledad; Bonnans, J. Frédéric; Kröner, Axel 4 2018 Directional derivatives of optimal solutions in smooth nonlinear programming. Zbl 0792.90064Bonnans, J. F. 4 1992 No-gap second-order optimality conditions for optimal control problems with a single state constraint and control. (Conditions d’optimalité du second ordre nécessaires ou suffisantes pour les problèmes de commande optimale avec une contrainte sur l’état et une commande scalaires.) Zbl 1101.49020Bonnans, J. Frédéric; Hermant, Audrey 4 2006 MIDAS: a mixed integer dynamic approximation scheme. Zbl 1467.90027Philpott, A. B.; Wahid, F.; Bonnans, J. F. 4 2020 Lipschitz solutions of optimal control problems with state constraints of arbitrary order. Zbl 1225.49023Bonnans, J. Frédéric 4 2010 Quelques méthodes pour le contrôle optimal de problèmes comportant des contraintes sur l’état. (Some methods for optimal control of state constrained problems). Zbl 0614.49019Bonnans, J. F.; Casas, E. 3 1986 A semistrong sufficiency condition for optimality in nonconvex programming and its connection to the perturbation problem. Zbl 0631.90065Bonnans, J. F. 3 1989 Expansion of exact and approximate solutions in nonlinear programming. Zbl 0769.90070Bonnans, J. Frédéric; Ioffe, Alexander D.; Shapiro, Alexander 3 1992 Control problems with mixed constraints and application to an optimal investment problem. Zbl 1212.49037Bonnans, J. F.; Tiba, D. 3 2009 On the choice of the function spaces for some state-constrained control problems. Zbl 0572.49009Bonnans, J. F.; Casas, E. 3 1985 Parametric optimization of hybrid car engines. Zbl 1072.90573Bonnans, Joseph Frédéric; Guilbaud, Thérèse; Ketfi-Cherif, Ahmed; von Wissel, Dirk; Sagastizábal, Claudia; Zidani, Housnaa 3 2004 Optimal control of state constrained age-structured problems. Zbl 1446.49019Bonnans, J. Frédéric; Gianatti, Justina 3 2020 Convex and stochastic optimization. Zbl 1417.90001Bonnans, J. Frédéric 3 2019 Quadratic growth conditions in optimal control problems. Zbl 1235.49042Bonnans, J. Frédéric; Osmolovskii, N. P. 3 2010 Schauder estimates for a class of potential mean field games of controls. Zbl 1468.91016Bonnans, J. Frédéric; Hadikhanloo, Saeed; Pfeiffer, Laurent 3 2021 Asymptotic admissibility of the unit stepsize in exact penalty methods. Zbl 0678.90068Bonnans, Joseph Frédéric 2 1989 Perturbed optimization in Banach spaces. II: A theory based on a strong directional constraint qualification. Zbl 0862.49023Bonnans, J. Frédéric; Cominetti, Roberto 2 1996 Une extension de la programmation quadratique successive. Zbl 0559.90081Bonnans, Joseph Frédéric; Gabay, Daniel 2 1984 State constrained control-affine parabolic problems. II: Second order sufficient optimality conditions. Zbl 1465.49003Aronna, M. Soledad; Bonnans, J. Frédéric; Kröner, Axel 2 2021 Correction to: “Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations”. Zbl 1447.49037Aronna, M. Soledad; Bonnans, J. Frédéric; Kröner, Axel 2 2018 Second-order sufficient conditions for strong solutions to optimal control problems. Zbl 1293.49039Bonnans, J. Frédéric; Dupuis, Xavier; Pfeiffer, Laurent 2 2014 Optimal control of a semilinear parabolic equation with singular arcs. Zbl 1301.49053Bonnans, J. Frédéric 2 2014 Perturbed optimization in Banach spaces. III: Semi-infinite optimization. Zbl 0872.49008Bonnans, J. Frédéric; Cominetti, Roberto 2 1996 Error estimates for the logarithmic barrier method in linear quadratic stochastic optimal control problems. Zbl 1250.93118Bonnans, J. Frédéric; Silva, Francisco J. 2 2012 Asymptotic expansions for interior penalty solutions of control constrained linear-quadratic problems. Zbl 1252.49055Álvarez, Felipe; Bolte, Jérôme; Bonnans, J. Frédéric; Silva, Francisco J. 2 2012 Sensitivity analysis for relaxed optimal control problems with final-state constraints. Zbl 1281.49024Frédéric Bonnans, J.; Pfeiffer, Laurent; Serea, Oana Silvia 2 2013 Characterization of a local quadratic growth of the Hamiltonian for control constrained optimal control problems. Zbl 1264.49020Bonnans, J. Frédéric; Osmolovskii, Nikolai P. 2 2012 Fast linear algebra for multiarc trajectory optimization. Zbl 1105.49037Bérend, Nicolas; Bonnans, J. Frédéric; Laurent-Varin, Julien; Haddou, Mounir; Talbot, Christophe 2 2006 Fast computation of the leastcore and prenucleolus of cooperative games. Zbl 1154.91317Bonnans, Joseph Frédéric; André, Matthieu 2 2008 Control and optimization of dynamical systems. (Commande et optimisation de systèmes dynamiques.) Zbl 1229.37001Bonnans, Frédéric; Rouchon, Pierre 2 2005 Optimal control of PDEs in a complex space setting: application to the Schrödinger equation. Zbl 1412.49051Aronna, M. Soledad; Bonnans, Joseph Frédéric; Kröner, Axel 2 2019 Optimal control techniques based on infection age for the study of the COVID-19 epidemic. Zbl 1467.92176Bonnans, J. Frédéric; Gianatti, Justina 2 2020 An introduction to Newton type algorithms for nonlinearly constrained optimization problems. Zbl 0683.90075Bonnans, Joseph Frédéric 1 1989 Schauder estimates for a class of potential mean field games of controls. Zbl 1468.91016Bonnans, J. Frédéric; Hadikhanloo, Saeed; Pfeiffer, Laurent 3 2021 State constrained control-affine parabolic problems. II: Second order sufficient optimality conditions. Zbl 1465.49003Aronna, M. Soledad; Bonnans, J. Frédéric; Kröner, Axel 2 2021 Monotone and second order consistent scheme for the two dimensional Pucci equation. Zbl 1475.65164Bonnans, Joseph Frédéric; Bonnet, Guillaume; Mirebeau, Jean-Marie 1 2021 MIDAS: a mixed integer dynamic approximation scheme. Zbl 1467.90027Philpott, A. B.; Wahid, F.; Bonnans, J. F. 4 2020 Optimal control of state constrained age-structured problems. Zbl 1446.49019Bonnans, J. Frédéric; Gianatti, Justina 3 2020 Optimal control techniques based on infection age for the study of the COVID-19 epidemic. Zbl 1467.92176Bonnans, J. Frédéric; Gianatti, Justina 2 2020 Convex and stochastic optimization. Zbl 1417.90001Bonnans, J. Frédéric 3 2019 Optimal control of PDEs in a complex space setting: application to the Schrödinger equation. Zbl 1412.49051Aronna, M. Soledad; Bonnans, Joseph Frédéric; Kröner, Axel 2 2019 Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations. Zbl 1454.49028Aronna, M. Soledad; Bonnans, J. Frédéric; Kröner, Axel 4 2018 Correction to: “Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations”. Zbl 1447.49037Aronna, M. Soledad; Bonnans, J. Frédéric; Kröner, Axel 2 2018 Error estimates for the Euler discretization of an optimal control problem with first-order state constraints. Zbl 1394.49029Bonnans, J. Frédéric; Festa, Adriano 11 2017 Second order analysis of control-affine problems with scalar state constraint. Zbl 1352.49020Aronna, M. S.; Bonnans, J. F.; Goh, B. S. 8 2016 Second-order necessary conditions in Pontryagin form for optimal control problems. Zbl 1326.49028Bonnans, J. Frédéric; Dupuis, Xavier; Pfeiffer, Laurent 10 2015 A general optimal multiple stopping problem with an application to swing options. Zbl 1327.60098Ben Latifa, Imène; Bonnans, Joseph Frédéric; Mnif, Mohamed 5 2015 Characterization of local quadratic growth for strong minima in the optimal control of semi-linear elliptic equations. Zbl 1297.49004Bayen, Térence; Bonnans, J. Frédéric; Silva, Francisco J. 24 2014 Optimization of running strategies based on anaerobic energy and variations of velocity. Zbl 1307.49002Aftalion, Amandine; Bonnans, J. Frédéric 6 2014 Second-order sufficient conditions for strong solutions to optimal control problems. Zbl 1293.49039Bonnans, J. Frédéric; Dupuis, Xavier; Pfeiffer, Laurent 2 2014 Optimal control of a semilinear parabolic equation with singular arcs. Zbl 1301.49053Bonnans, J. Frédéric 2 2014 A shooting algorithm for optimal control problems with singular Arcs. Zbl 1275.49045Soledad Aronna, M.; Frédéric Bonnans, J.; Martinon, Pierre 15 2013 A model-free no-arbitrage price bound for variance options. Zbl 1272.93135Bonnans, J. Frédéric; Tan, Xiaolu 11 2013 First- and second-order optimality conditions for optimal control problems of state constrained integral equations. Zbl 1354.49053Bonnans, J. Frédéric; de la Vega, Constanza; Dupuis, Xavier 10 2013 Sensitivity analysis for relaxed optimal control problems with final-state constraints. Zbl 1281.49024Frédéric Bonnans, J.; Pfeiffer, Laurent; Serea, Oana Silvia 2 2013 Quadratic order conditions for bang-singular extremals. Zbl 1252.49028Aronna, M. Soledad; Bonnans, J. Frédéric; Dmitruk, Andrei V.; Lotito, Pablo A. 30 2012 First and second order necessary conditions for stochastic optimal control problems. Zbl 1244.49045Bonnans, J. Frédéric; Silva, Francisco J. 21 2012 Energy contracts management by stochastic programming techniques. Zbl 1254.90132Bonnans, J. Frédéric; Cen, Zhihao; Christel, Thibault 8 2012 Error estimates for the logarithmic barrier method in linear quadratic stochastic optimal control problems. Zbl 1250.93118Bonnans, J. Frédéric; Silva, Francisco J. 2 2012 Asymptotic expansions for interior penalty solutions of control constrained linear-quadratic problems. Zbl 1252.49055Álvarez, Felipe; Bolte, Jérôme; Bonnans, J. Frédéric; Silva, Francisco J. 2 2012 Characterization of a local quadratic growth of the Hamiltonian for control constrained optimal control problems. Zbl 1264.49020Bonnans, J. Frédéric; Osmolovskii, Nikolai P. 2 2012 Sensitivity analysis of energy contracts by stochastic programming techniques. Zbl 1269.90070Bonnans, J. Frédéric; Cen, Zhihao; Christel, Thibault 1 2012 Optimal structure of gas transmission trunklines. Zbl 1272.90005André, Jean; Bonnans, J. Frédéric 7 2011 Asymptotic expansion for the solutions of control constrained semilinear elliptic problems with interior penalties. Zbl 1323.49002Bonnans, J. Frédéric; Silva, Francisco J. 6 2011 Optimal control of a parabolic equation with time-dependent state constraints. Zbl 1208.49024Bonnans, J. Frédéric; Jaisson, Pascal 16 2010 Second-order analysis of optimal control problems with control and initial-final state constraints. Zbl 1207.49020Bonnans, J. Frédéric; Osmolovskiĭ, N. P. 10 2010 Optimal control of state constrained integral equations. Zbl 1221.49039Bonnans, Joseph Frédéric; Sánchez Fernández de la Vega, Constanza 7 2010 Lipschitz solutions of optimal control problems with state constraints of arbitrary order. Zbl 1225.49023Bonnans, J. Frédéric 4 2010 Quadratic growth conditions in optimal control problems. Zbl 1235.49042Bonnans, J. Frédéric; Osmolovskii, N. P. 3 2010 Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints. Zbl 1158.49023Bonnans, J. Frédéric; Hermant, Audrey 27 2009 No-gap second-order optimality conditions for optimal control problems with a single state constraint and control. Zbl 1167.49021Bonnans, J. Frédéric; Hermant, Audrey 17 2009 Singular arcs in the generalized Goddard’s problem. Zbl 1159.49027Bonnans, F.; Martinon, P.; Trélat, E. 10 2009 Optimization of capacity expansion planning for gas transportation networks. Zbl 1176.90045Andre, Jean; Bonnans, Frédéric; Cornibert, Laurent 9 2009 Revisiting the analysis of optimal control problems with several state constraints. Zbl 1242.49046Bonnans, J.; Hermant, A. 8 2009 Control problems with mixed constraints and application to an optimal investment problem. Zbl 1212.49037Bonnans, J. F.; Tiba, D. 3 2009 Stability and sensitivity analysis for optimal control problems with a first-order state constraint and application to continuation methods. Zbl 1148.49026Bonnans, Joseph Frédéric; Hermant, Audrey 10 2008 Fast computation of the leastcore and prenucleolus of cooperative games. Zbl 1154.91317Bonnans, Joseph Frédéric; André, Matthieu 2 2008 Well-posedness of the shooting algorithm for state constrained optimal control problems with a single constraint and control. Zbl 1251.49036Bonnans, J. Frédéric; Hermant, Audrey 12 2007 Error estimates for a stochastic impulse control problem. Zbl 1127.93057Bonnans, Frederic; Maroso, Stefania; Zidani, Housnaa 6 2007 Numerical optimization. Theoretical and practical aspects. Transl. from the French. 2nd reviseded. Zbl 1108.65060Bonnans, J. Frédéric; Gilbert, J. Charles; Lemaréchal, Claude; Sagastizábal, Claudia A. 105 2006 Computation of order conditions for symplectic partitioned Runge-Kutta schemes with application to optimal control. Zbl 1112.65063Bonnans, J. Frédéric; Laurent-Varin, Julien 20 2006 Error estimates for stochastic differential games: the adverse stopping case. Zbl 1130.91014Bonnans, J. Frédéric; Maroso, Stefania; Zidani, Housnaa 7 2006 No-gap second-order optimality conditions for optimal control problems with a single state constraint and control. (Conditions d’optimalité du second ordre nécessaires ou suffisantes pour les problèmes de commande optimale avec une contrainte sur l’état et une commande scalaires.) Zbl 1101.49020Bonnans, J. Frédéric; Hermant, Audrey 4 2006 Fast linear algebra for multiarc trajectory optimization. Zbl 1105.49037Bérend, Nicolas; Bonnans, J. Frédéric; Laurent-Varin, Julien; Haddou, Mounir; Talbot, Christophe 2 2006 Perturbation analysis of second-order cone programming problems. Zbl 1124.90039Bonnans, J. Frédéric; Ramírez C., Héctor 68 2005 Control and optimization of dynamical systems. (Commande et optimisation de systèmes dynamiques.) Zbl 1229.37001Bonnans, Frédéric; Rouchon, Pierre 2 2005 A fast algorithm for the two dimensional HJB equation of stochastic control. Zbl 1130.93433Bonnans, J. Frédéric; Ottenwaelter, Élisabeth; Zidani, Housnaa 29 2004 Parametric optimization of hybrid car engines. Zbl 1072.90573Bonnans, Joseph Frédéric; Guilbaud, Thérèse; Ketfi-Cherif, Ahmed; von Wissel, Dirk; Sagastizábal, Claudia; Zidani, Housnaa 3 2004 Consistency of generalized finite difference schemes for the stochastic HJB equation. Zbl 1130.49307Bonnans, J. Frédéric; Zidani, Housnaa 28 2003 Numerical optimization. Theoretical and practical aspects. Transl. from the French. Zbl 1014.65045Bonnans, J. Frédéric; Gilbert, J. Charles; Lemaréchal, Claude; Sagastizábal, Claudia A. 20 2003 Using logarithmic penalties in the shooting algorithm for optimal control problems. Zbl 1073.49022Bonnans, J. F.; Guibaud, Th. 7 2003 The obstacle problem for water tanks. Zbl 1034.49037Bonnans, J. F.; Bessi Fourati, R.; Smaoui, H. 1 2003 Perturbation analysis of optimization problems. Zbl 0966.49001Bonnans, J. Frédéric; Shapiro, Alexander 775 2000 Mathematical study of very high voltage power networks. III: The optimal AC power flow problem. Zbl 0973.49021Bonnans, J. Frédéric 4 2000 Second order optimality conditions based on parabolic second order tangent sets. Zbl 0990.90127Bonnans, J. Frédéric; Cominetti, Roberto; Shapiro, Alexander 72 1999 Optimal control problems with partially polyhedric constraints. Zbl 0945.49020Bonnans, J. Frédéric; Zidani, Housnaa 32 1999 Optimization problems with perturbations: A guided tour. Zbl 0915.49021Bonnans, J. Frédéric; Shapiro, Alexander 48 1998 Second-order analysis for control constrained optimal control problems of semilinear elliptic systems. Zbl 0917.49020Bonnans, J. F. 37 1998 Sensitivity analysis of optimization problems under second order regular constraints. Zbl 0977.90053Bonnans, J. Frédéric; Cominetti, Roberto; Shapiro, Alexander 19 1998 Nondegeneracy and quantitative stability of parameterized optimization problems with multiple solutions. Zbl 0912.90266Bonnans, J. Frédéric; Shapiro, Alexander 7 1998 Mathematical study of very high voltage power networks. II: The AC power flow problem. Zbl 0922.49020Bonnans, J. Frédéric 4 1998 A trust region interior point algorithm for linearly constrained optimization. Zbl 0899.90146Bonnans, J. Frédéric; Pola, Cecilia 22 1997 Numerical optimization. Theoretical and practice aspects. (Optimisation numérique. Aspects théoretiques et pratiques.) Zbl 0952.65044Bonnans, Frédéric J.; Gilbert, Jean Charles; Lemaréchal, Claude; Sagastizábal, Claudia 12 1997 On the convergence of the iteration sequence of infeasible path following algorithms for linear complementarity problems. Zbl 0883.90117Bonnans, J. Frédéric; Potra, Florian A. 6 1997 Mathematical study of very high voltage power networks. I: The optimal DC power flow problem. Zbl 0922.49019Bonnans, J. Frédéric 5 1997 Fast convergence of the simplified largest step path following algorithm. Zbl 0881.90114Gonzaga, Clovis C.; Bonnans, J. Frédéric 5 1997 Convergence of interior point algorithms for the monotone linear complementarity problem. Zbl 0846.90109Bonnans, J. Frédéric; Gonzaga, Clovis C. 21 1996 Perturbed optimization in Banach spaces. I: A general theory based on a weak directional constraint qualification. Zbl 0862.49022Bonnans, J. Frédéric; Cominetti, Roberto 4 1996 Perturbed optimization in Banach spaces. II: A theory based on a strong directional constraint qualification. Zbl 0862.49023Bonnans, J. Frédéric; Cominetti, Roberto 2 1996 Perturbed optimization in Banach spaces. III: Semi-infinite optimization. Zbl 0872.49008Bonnans, J. Frédéric; Cominetti, Roberto 2 1996 A family of variable metric proximal methods. Zbl 0832.90102Bonnans, J. F.; Gilbert, J. Ch.; Lemaréchal, C.; Sagastizábal, C. A. 31 1995 An extension of Pontryagin’s principle for state-constrained optimal control of semilinear elliptic equations and variational inequalities. Zbl 0821.49018Bonnans, Frédéric; Casas, Eduardo 30 1995 Second-order sufficiency and quadratic growth for nonisolated minima. Zbl 0846.90095Bonnans, Joseph Frédéric; Ioffe, Alexander 14 1995 Pseudopower expansion of solutions of generalized equations and constrained optimization problems. Zbl 0842.65044Bonnans, Joseph Frédéric; Sulem, Agnès 9 1995 Sequential quadratic programming with penalization of the displacement. Zbl 0841.90110Bonnans, J. F.; Launay, G. 8 1995 The trust region affine interior point algorithm for convex and nonconvex quadratic programming. Zbl 0835.90061Bonnans, J. F.; Bouhtou, M. 6 1995 Quadratic growth and stability in convex programming problems with multiple solutions. Zbl 0839.90090Bonnans, J. Frédéric; Ioffe, Alexander D. 5 1995 Local analysis of Newton-type methods for variational inequalities and nonlinear programming. Zbl 0809.90115Bonnans, J. Frédéric 55 1994 Avoiding the Maratos effect by means of a nonmonotone line search. II: Inequality constrained problems — feasible iterates. Zbl 0763.65042Bonnans, J. Frédéric; Panier, Eliane R.; Tits, André L.; Zhou, Jian L. 38 1992 Sensitivity analysis of parametrized programs under cone constraints. Zbl 0766.90076Shapiro, A.; Bonnans, J. F. 5 1992 A boundary Pontryagin’s principle for the optimal control of state- constrained elliptic systems. Zbl 0769.49017Bonnans, J. Frédéric; Casas, Eduardo 4 1992 Directional derivatives of optimal solutions in smooth nonlinear programming. Zbl 0792.90064Bonnans, J. F. 4 1992 Expansion of exact and approximate solutions in nonlinear programming. Zbl 0769.90070Bonnans, J. Frédéric; Ioffe, Alexander D.; Shapiro, Alexander 3 1992 Pontryagin’s principle in the control of semilinear elliptic variational inequalities. Zbl 0728.49003Bonnans, J. F.; Tiba, D. 30 1991 Un principe de Pontryagine pour le contrôle des systèmes semilinéaires elliptiques. (A Pontryagin principle for control of semilinear elliptic systems). Zbl 0742.93035Bonnans, Joseph Frédéric; Casas, Eduardo 9 1991 On the stability of sets defined by a finite number of equalities and inequalities. Zbl 0794.93096Bonnans, J. F.; Launay, G. 5 1991 On the stability of solutions in nonlinear programming. Zbl 0722.90076Bonnans, J. F. 1 1990 Optimal control of semilinear multistate systems with state constraints. Zbl 0667.49014Bonnans, Joseph Frederic; Casas, Eduardo 21 1989 A semistrong sufficiency condition for optimality in nonconvex programming and its connection to the perturbation problem. Zbl 0631.90065Bonnans, J. F. 3 1989 Asymptotic admissibility of the unit stepsize in exact penalty methods. Zbl 0678.90068Bonnans, Joseph Frédéric 2 1989 An introduction to Newton type algorithms for nonlinearly constrained optimization problems. Zbl 0683.90075Bonnans, Joseph Frédéric 1 1989 Local study of Newton type algorithms for constrained problems. Zbl 0693.49016Bonnans, J. F. 1 1989 Contrôle de systèmes elliptiques semilinéaires comportant des contraintes sur l’état. (Control of semilinear elliptic systems with state constraints). Zbl 0656.49011Bonnans, J. F.; Casas, E. 10 1988 ...and 6 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,923 Authors 45 Zhang, Liwei 41 Bonnans, Joseph Frédéric 30 Mordukhovich, Boris S. 23 Casas, Eduardo 23 Izmailov, Alekseĭ F. 23 Solodov, Mikhail V. 17 Zhou, Jinchuan 15 Shapiro, Alexander 15 Yang, Xiaoqi 15 Yao, Jen-Chih 14 Arutyunov, Aram Vladimirovic 14 Wachsmuth, Gerd 13 Mehlitz, Patrick 13 Sun, Defeng 13 Tröltzsch, Fredi 13 Zhu, Detong 12 Hintermüller, Michael 12 Surowiec, Thomas 12 Xu, Huifu 11 Jian, Jinbao 11 Osmolovskiĭ, Nikolaĭ Pavlovich 11 Outrata, Jiří V. 11 Sarabi, M. Ebrahim 11 Silva, Francisco J. 10 Aronna, María Soledad 10 Frankowska, Hélène 10 Haeser, Gabriel 9 Chen, Jein-Shan 9 Gfrerer, Helmut 9 Guan, Hongbo 9 Kostyukova, Olga Ivanova 9 Phan Quôc Khánh 9 Song, Wen 9 Wachsmuth, Daniel 9 Zhang, Haisen 9 Zhang, Jie 9 Zhang, Xu 8 Fukushima, Masao 8 Kanzow, Christian 8 López-Cerdá, Marco Antonio 8 Mirebeau, Jean-Marie 8 Nghia, Tran T. A. 8 Potra, Florian-Alexandru 8 Rösch, Arnd 8 Tan, Xiaolu 8 Tang, Chunming 8 Teo, Kok Lay 8 Touzi, Nizar 8 Tuan, Nguyen Dinh 8 Xiu, Naihua 8 Zhu, Zhibin 7 Avakov, Evgeniĭ Rachievich 7 Bermúdez, Alfredo 7 De los Reyes, Juan Carlos 7 Durea, Marius 7 Jakobsen, Espen Robstad 7 Klatte, Diethard 7 Liu, Yong-Jin 7 Meyer, Christian 7 Pan, Shaohua 7 Pang, Jong-Shi 7 Qi, Houduo 7 Sagastizábal, Claudia A. 7 Sun, Hailin 7 Tchemisova, Tatiana V. 7 Xiao, Xiantao 7 Nguyen Dong Yen 6 Bednarczuk, Ewa M. 6 Christof, Constantin 6 Chuong, Thai Doan 6 Dentcheva, Darinka 6 Dontchev, Asen L. 6 Fernández, Damián 6 Gianatti, Justina 6 Guo, Shaoyan 6 Hermant, Audrey 6 Lewis, Adrian S. 6 Li, Shengjie 6 Luan, Shu 6 Neitzel, Ira 6 Nhu, Vu Huu 6 Pfeiffer, Laurent 6 Phạm Tiên So’n 6 Picarelli, Athena 6 Qi, Liqun 6 Reich, Simeon 6 Reisinger, Christoph 6 Shi, Dongyang 6 Strugariu, Radu 6 Toh, Kim Chuan 6 Trélat, Emmanuel 6 Zheng, Xiyin 6 Zidani, Hasnaa 5 Amstutz, Samuel 5 Barton, Paul I. 5 Bayen, Térence 5 Borzì, Alfio 5 Chen, Qihong 5 Clason, Christian 5 Facchinei, Francisco ...and 1,823 more Authors all top 5 Cited in 255 Serials 146 Journal of Optimization Theory and Applications 116 Mathematical Programming. 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Operations Research 3 Foundations of Computational Mathematics 3 SIAM Journal on Imaging Sciences 3 SIAM Journal on Financial Mathematics 3 Advances in Applied Mathematics and Mechanics 3 Numerical Algebra, Control and Optimization 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys ...and 155 more Serials all top 5 Cited in 47 Fields 959 Operations research, mathematical programming (90-XX) 784 Calculus of variations and optimal control; optimization (49-XX) 406 Numerical analysis (65-XX) 185 Partial differential equations (35-XX) 127 Systems theory; control (93-XX) 105 Operator theory (47-XX) 90 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 54 Probability theory and stochastic processes (60-XX) 47 Statistics (62-XX) 41 Mechanics of deformable solids (74-XX) 37 Ordinary differential equations (34-XX) 33 Functional analysis (46-XX) 32 Computer science (68-XX) 26 Biology and other natural sciences (92-XX) 25 Real functions (26-XX) 25 Fluid mechanics (76-XX) 22 Global analysis, analysis on manifolds (58-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 19 Convex and discrete geometry (52-XX) 17 Information and communication theory, circuits (94-XX) 10 Mechanics of particles and systems (70-XX) 9 General topology (54-XX) 8 Algebraic geometry (14-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Integral equations (45-XX) 4 Differential geometry (53-XX) 4 Quantum theory (81-XX) 3 Combinatorics (05-XX) 3 Approximations and expansions (41-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Nonassociative rings and algebras (17-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Manifolds and cell complexes (57-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 2 Mathematics education (97-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year