×

zbMATH — the first resource for mathematics

Bonnans, Joseph Frédéric

Compute Distance To:
Author ID: bonnans.joseph-frederic Recent zbMATH articles by "Bonnans, Joseph Frédéric"
Published as: Bonnans, F.; Bonnans, Frederic; Bonnans, Frédéric; Bonnans, Frédéric J.; Bonnans, J.; Bonnans, J.  Frédéric; Bonnans, J. F.; Bonnans, J. Frédéric; Bonnans, Joseph Frederic; Bonnans, Joseph Fréderic; Bonnans, Joseph Frédéric; Frédéric Bonnans, J.
Homepage: http://www.cmap.polytechnique.fr/~bonnans/
External Links: MGP
Documents Indexed: 132 Publications since 1983, including 9 Books
Reviewing Activity: 175 Reviews
all top 5

Co-Authors

23 single-authored
11 Casas, Eduardo
8 Shapiro, Alexander
8 Zidani, Housnaa
7 Silva, Francisco J.
6 Aronna, María Soledad
6 Hermant, Audrey
5 Cominetti, Roberto
5 Sagastizábal, Claudia A.
5 Tiba, Dan
4 Gilbert, Jean Charles
4 Ioffe, Alexander Davidovich
4 Kröner, Axel
4 Lemaréchal, Claude
3 Dupuis, Xavier
3 Gabay, Daniel
3 Gianatti, Justina
3 Osmolovskiĭ, Nikolaĭ Pavlovich
3 Pfeiffer, Laurent
2 Ben Latifa, Imène
2 Blanchon, G.
2 Cen, Zhihao
2 Christel, Thibault
2 Dodu, Jean-Claude
2 Gonzaga, Clovis C.
2 Haddou, Mounir
2 Launay, Gaby
2 Laurent-Varin, Julien
2 Lobo, Miguel Sousa
2 Maroso, Stefania
2 Martinon, Pierre
2 Mnif, Mohamed
2 Pola, Cecilia
1 Adam, Soizic
1 Aftalion, Amandine
1 Alvarez, Felipe
1 André, Jean-Marc
1 André, Jean-Michel
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 de la Vega, Constanza Sánchez
1 Dmitruk, Andrei V.
1 Festa, Adriano
1 Gaubert, Stéphane
1 Gaudrat, Véronique F.
1 Goh, Bean San
1 Guibaud, Th.
1 Guilbaud, Thérèse
1 Jaisson, Pascal
1 Ketfi-Cherif, Ahmed
1 Lebelle, Marc
1 Lotito, Pablo A.
1 Ottenwaelter, Élisabeth
1 Panier, Eliane R.
1 Paraisy, Ruben
1 Philpott, Andy B.
1 Potra, Florian-Alexandru
1 Ramírez C., Héctor
1 Rébai, Raja
1 Rouchon, Pierre
1 Saguez, Christian
1 Sánchez Fernández de la Vega, Constanza
1 Serea, Oana-Silvia
1 Smaoui, Hichem
1 Sulem, Agnès
1 Talbot, Christophe
1 Tan, Xiaolu
1 Tits, André L.
1 Trélat, Emmanuel
1 Veyrat, Sébastien
1 von Wissel, Dirk
1 Wahid, F.
1 Zhou, Jianli
all top 5

Serials

15 SIAM Journal on Control and Optimization
10 Mathematical Programming. Series A. Series B
6 Applied Mathematics and Optimization
6 Journal of Optimization Theory and Applications
5 Mathematics of Operations Research
5 SIAM Journal on Optimization
3 SIAM Journal on Numerical Analysis
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
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
1 IMA Journal of Numerical Analysis
1 Journal of Mathematical Analysis and Applications
1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. (Serie Nouă.) Secţiunea 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 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 SIAM Journal on Financial Mathematics
1 Matapli
1 Set-Valued and Variational Analysis
1 Annals of the Academy of Romanian Scientists. Mathematics and its Applications
1 Numerical Algebra, Control and Optimization
1 Mathematical Control and Related Fields

Publications by Year

Citations contained in zbMATH

99 Publications have been cited 1,813 times in 1,439 Documents Cited by Year
Perturbation analysis of optimization problems. Zbl 0966.49001
Bonnans, J. Frédéric; Shapiro, Alexander
699
2000
Numerical optimization. Theoretical and practical aspects. Transl. from the French. 2nd reviseded. Zbl 1108.65060
Bonnans, J. Frédéric; Gilbert, J. Charles; Lemaréchal, Claude; Sagastizábal, Claudia A.
91
2006
Second order optimality conditions based on parabolic second order tangent sets. Zbl 0990.90127
Bonnans, J. Frédéric; Cominetti, Roberto; Shapiro, Alexander
64
1999
Perturbation analysis of second-order cone programming problems. Zbl 1124.90039
Bonnans, J. Frédéric; Ramírez C., Héctor
56
2005
Local analysis of Newton-type methods for variational inequalities and nonlinear programming. Zbl 0809.90115
Bonnans, J. Frédéric
50
1994
Optimization problems with perturbations: A guided tour. Zbl 0915.49021
Bonnans, J. Frédéric; Shapiro, Alexander
42
1998
Avoiding the Maratos effect by means of a nonmonotone line search. II: Inequality constrained problems — feasible iterates. Zbl 0763.65042
Bonnans, J. Frédéric; Panier, Eliane R.; Tits, André L.; Zhou, Jian L.
39
1992
Second-order analysis for control constrained optimal control problems of semilinear elliptic systems. Zbl 0917.49020
Bonnans, J. F.
31
1998
Pontryagin’s principle in the control of semilinear elliptic variational inequalities. Zbl 0728.49003
Bonnans, J. F.; Tiba, D.
30
1991
A family of variable metric proximal methods. Zbl 0832.90102
Bonnans, J. F.; Gilbert, J. Ch.; Lemaréchal, C.; Sagastizábal, C. A.
29
1995
Optimal control problems with partially polyhedric constraints. Zbl 0945.49020
Bonnans, J. Frédéric; Zidani, Housnaa
27
1999
An extension of Pontryagin’s principle for state-constrained optimal control of semilinear elliptic equations and variational inequalities. Zbl 0821.49018
Bonnans, Frédéric; Casas, Eduardo
27
1995
Quadratic order conditions for bang-singular extremals. Zbl 1252.49028
Aronna, M. Soledad; Bonnans, J. Frédéric; Dmitruk, Andrei V.; Lotito, Pablo A.
26
2012
A fast algorithm for the two dimensional HJB equation of stochastic control. Zbl 1130.93433
Bonnans, J. Frédéric; Ottenwaelter, Élisabeth; Zidani, Housnaa
26
2004
Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints. Zbl 1158.49023
Bonnans, J. Frédéric; Hermant, Audrey
23
2009
Consistency of generalized finite difference schemes for the stochastic HJB equation. Zbl 1130.49307
Bonnans, J. Frédéric; Zidani, Housnaa
23
2003
Numerical optimization. Theoretical and practical aspects. Transl. from the French. Zbl 1014.65045
Bonnans, J. Frédéric; Gilbert, J. Charles; Lemaréchal, Claude; Sagastizábal, Claudia A.
22
2003
A trust region interior point algorithm for linearly constrained optimization. Zbl 0899.90146
Bonnans, J. Frédéric; Pola, Cecilia
22
1997
Convergence of interior point algorithms for the monotone linear complementarity problem. Zbl 0846.90109
Bonnans, J. Frédéric; Gonzaga, Clovis C.
20
1996
Optimal control of semilinear multistate systems with state constraints. Zbl 0667.49014
Bonnans, Joseph Frederic; Casas, Eduardo
20
1989
Computation of order conditions for symplectic partitioned Runge-Kutta schemes with application to optimal control. Zbl 1112.65063
Bonnans, J. Frédéric; Laurent-Varin, Julien
19
2006
Sensitivity analysis of optimization problems under second order regular constraints. Zbl 0977.90053
Bonnans, J. Frédéric; Cominetti, Roberto; Shapiro, Alexander
19
1998
First and second order necessary conditions for stochastic optimal control problems. Zbl 1244.49045
Bonnans, J. Frédéric; Silva, Francisco J.
18
2012
Characterization of local quadratic growth for strong minima in the optimal control of semi-linear elliptic equations. Zbl 1297.49004
Bayen, Térence; Bonnans, J. Frédéric; Silva, Francisco J.
17
2014
No-gap second-order optimality conditions for optimal control problems with a single state constraint and control. Zbl 1167.49021
Bonnans, J. Frédéric; Hermant, Audrey
16
2009
A shooting algorithm for optimal control problems with singular Arcs. Zbl 1275.49045
Soledad Aronna, M.; Frédéric Bonnans, J.; Martinon, Pierre
13
2013
Second-order sufficiency and quadratic growth for nonisolated minima. Zbl 0846.90095
Bonnans, Joseph Frédéric; Ioffe, Alexander
13
1995
Optimal control of a parabolic equation with time-dependent state constraints. Zbl 1208.49024
Bonnans, J. Frédéric; Jaisson, Pascal
12
2010
Numerical optimization. Theoretical and practice aspects. Zbl 0952.65044
Bonnans, 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 1251.49036
Bonnans, J. Frédéric; Hermant, Audrey
11
2007
A model-free no-arbitrage price bound for variance options. Zbl 1272.93135
Bonnans, J.  Frédéric; Tan, Xiaolu
10
2013
Singular arcs in the generalized Goddard’s problem. Zbl 1159.49027
Bonnans, F.; Martinon, P.; Trélat, E.
9
2009
Stability and sensitivity analysis for optimal control problems with a first-order state constraint and application to continuation methods. Zbl 1148.49026
Bonnans, Joseph Frédéric; Hermant, Audrey
9
2008
Un principe de Pontryagine pour le contrôle des systèmes semilinéaires elliptiques. (A Pontryagin principle for control of semilinear elliptic systems). Zbl 0742.93035
Bonnans, Joseph Frédéric; Casas, Eduardo
9
1991
Contrôle de systèmes elliptiques semilinéaires comportant des contraintes sur l’état. (Control of semilinear elliptic systems with state constraints). Zbl 0656.49011
Bonnans, J. F.; Casas, E.
9
1988
On an algorithm for optimal control using Pontryagin’s maximum principle. Zbl 0592.49018
Bonnans, Joseph Frédéric
9
1986
Second-order analysis of optimal control problems with control and initial-final state constraints. Zbl 1207.49020
Bonnans, J. Frédéric; Osmolovskiĭ, N. P.
8
2010
Optimization of capacity expansion planning for gas transportation networks. Zbl 1176.90045
Andre, Jean; Bonnans, Frédéric; Cornibert, Laurent
8
2009
Nondegeneracy and quantitative stability of parameterized optimization problems with multiple solutions. Zbl 0912.90266
Bonnans, J. Frédéric; Shapiro, Alexander
8
1998
Pseudopower expansion of solutions of generalized equations and constrained optimization problems. Zbl 0842.65044
Bonnans, Joseph Frédéric; Sulem, Agnès
8
1995
Sequential quadratic programming with penalization of the displacement. Zbl 0841.90110
Bonnans, J. F.; Launay, G.
8
1995
Error estimates for the Euler discretization of an optimal control problem with first-order state constraints. Zbl 1394.49029
Bonnans, J. Frédéric; Festa, Adriano
7
2017
Second-order necessary conditions in Pontryagin form for optimal control problems. Zbl 1326.49028
Bonnans, J. Frédéric; Dupuis, Xavier; Pfeiffer, Laurent
7
2015
First- and second-order optimality conditions for optimal control problems of state constrained integral equations. Zbl 1354.49053
Bonnans, J. Frédéric; de la Vega, Constanza; Dupuis, Xavier
7
2013
Optimal structure of gas transmission trunklines. Zbl 1272.90005
André, Jean; Bonnans, J. Frédéric
7
2011
Revisiting the analysis of optimal control problems with several state constraints. Zbl 1242.49046
Bonnans, J.; Hermant, A.
7
2009
Energy contracts management by stochastic programming techniques. Zbl 1254.90132
Bonnans, J. Frédéric; Cen, Zhihao; Christel, Thibault
6
2012
Asymptotic expansion for the solutions of control constrained semilinear elliptic problems with interior penalties. Zbl 1323.49002
Bonnans, J. Frédéric; Silva, Francisco J.
6
2011
Error estimates for stochastic differential games: the adverse stopping case. Zbl 1130.91014
Bonnans, J. Frédéric; Maroso, Stefania; Zidani, Housnaa
6
2006
Using logarithmic penalties in the shooting algorithm for optimal control problems. Zbl 1073.49022
Bonnans, J. F.; Guibaud, Th.
6
2003
On the convergence of the iteration sequence of infeasible path following algorithms for linear complementarity problems. Zbl 0883.90117
Bonnans, J. Frédéric; Potra, Florian A.
6
1997
The trust region affine interior point algorithm for convex and nonconvex quadratic programming. Zbl 0835.90061
Bonnans, J. F.; Bouhtou, M.
6
1995
Second order analysis of control-affine problems with scalar state constraint. Zbl 1352.49020
Aronna, M. S.; Bonnans, J. F.; Goh, B. S.
5
2016
Optimization of running strategies based on anaerobic energy and variations of velocity. Zbl 1307.49002
Aftalion, Amandine; Bonnans, J. Frédéric
5
2014
Error estimates for a stochastic impulse control problem. Zbl 1127.93057
Bonnans, Frederic; Maroso, Stefania; Zidani, Housnaa
5
2007
Fast convergence of the simplified largest step path following algorithm. Zbl 0881.90114
Gonzaga, Clovis C.; Bonnans, J. Frédéric
5
1997
Quadratic growth and stability in convex programming problems with multiple solutions. Zbl 0839.90090
Bonnans, J. Frédéric; Ioffe, Alexander D.
5
1995
Sensitivity analysis of parametrized programs under cone constraints. Zbl 0766.90076
Shapiro, A.; Bonnans, J. F.
5
1992
On the stability of sets defined by a finite number of equalities and inequalities. Zbl 0794.93096
Bonnans, J. F.; Launay, G.
5
1991
On the choice of the function spaces for some state-constrained control problems. Zbl 0589.49016
Bonnans, J. F.; Casas, E.
5
1985
Optimal control of state constrained integral equations. Zbl 1221.49039
Bonnans, Joseph Frédéric; Sánchez Fernández de la Vega, Constanza
4
2010
Lipschitz solutions of optimal control problems with state constraints of arbitrary order. Zbl 1225.49023
Bonnans, J. Frédéric
4
2010
No-gap second-order optimality conditions for optimal control problems with a single state constraint and control. Zbl 1101.49020
Bonnans, J. Frédéric; Hermant, Audrey
4
2006
Mathematical study of very high voltage power networks. I: The optimal DC power flow problem. Zbl 0922.49019
Bonnans, J. Frédéric
4
1997
Perturbed optimization in Banach spaces. I: A general theory based on a weak directional constraint qualification. Zbl 0862.49022
Bonnans, J. Frédéric; Cominetti, Roberto
4
1996
Directional derivatives of optimal solutions in smooth nonlinear programming. Zbl 0792.90064
Bonnans, J. F.
4
1992
A boundary Pontryagin’s principle for the optimal control of state- constrained elliptic systems. Zbl 0769.49017
Bonnans, J. Frédéric; Casas, Eduardo
4
1992
A general optimal multiple stopping problem with an application to swing options. Zbl 1327.60098
Ben Latifa, Imène; Bonnans, Joseph Frédéric; Mnif, Mohamed
3
2015
Quadratic growth conditions in optimal control problems. Zbl 1235.49042
Bonnans, J. Frédéric; Osmolovskii, N. P.
3
2010
Parametric optimization of hybrid car engines. Zbl 1072.90573
Bonnans, Joseph Frédéric; Guilbaud, Thérèse; Ketfi-Cherif, Ahmed; von Wissel, Dirk; Sagastizábal, Claudia; Zidani, Housnaa
3
2004
Mathematical study of very high voltage power networks. III: The optimal AC power flow problem. Zbl 0973.49021
Bonnans, J. Frédéric
3
2000
Mathematical study of very high voltage power networks. II: The AC power flow problem. Zbl 0922.49020
Bonnans, J. Frédéric
3
1998
Expansion of exact and approximate solutions in nonlinear programming. Zbl 0769.90070
Bonnans, J. Frédéric; Ioffe, Alexander D.; Shapiro, Alexander
3
1992
A semistrong sufficiency condition for optimality in nonconvex programming and its connection to the perturbation problem. Zbl 0631.90065
Bonnans, J. F.
3
1989
Quelques méthodes pour le contrôle optimal de problèmes comportant des contraintes sur l’état. (Some methods for optimal control of state constrained problems). Zbl 0614.49019
Bonnans, J. F.; Casas, E.
3
1986
Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations. Zbl 1454.49028
Aronna, M. Soledad; Bonnans, J. Frédéric; Kröner, Axel
2
2018
Optimal control of a semilinear parabolic equation with singular arcs. Zbl 1301.49053
Bonnans, J. Frédéric
2
2014
Sensitivity analysis for relaxed optimal control problems with final-state constraints. Zbl 1281.49024
Frédéric 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 1264.49020
Bonnans, J. Frédéric; Osmolovskii, Nikolai P.
2
2012
Asymptotic expansions for interior penalty solutions of control constrained linear-quadratic problems. Zbl 1252.49055
Álvarez, Felipe; Bolte, Jérôme; Bonnans, J. Frédéric; Silva, Francisco J.
2
2012
Error estimates for the logarithmic barrier method in linear quadratic stochastic optimal control problems. Zbl 1250.93118
Bonnans, J. Frédéric; Silva, Francisco J.
2
2012
Control problems with mixed constraints and application to an optimal investment problem. Zbl 1212.49037
Bonnans, J. F.; Tiba, D.
2
2009
Fast computation of the leastcore and prenucleolus of cooperative games. Zbl 1154.91317
Bonnans, Joseph Frédéric; André, Matthieu
2
2008
Fast linear algebra for multiarc trajectory optimization. Zbl 1105.49037
Bérend, Nicolas; Bonnans, J. Frédéric; Laurent-Varin, Julien; Haddou, Mounir; Talbot, Christophe
2
2006
Control and optimization of dynamical systems. Zbl 1229.37001
Bonnans, Frédéric; Rouchon, Pierre
2
2005
Perturbed optimization in Banach spaces. II: A theory based on a strong directional constraint qualification. Zbl 0862.49023
Bonnans, J. Frédéric; Cominetti, Roberto
2
1996
Asymptotic admissibility of the unit stepsize in exact penalty methods. Zbl 0678.90068
Bonnans, Joseph Frédéric
2
1989
On the choice of the function spaces for some state-constrained control problems. Zbl 0572.49009
Bonnans, J. F.; Casas, E.
2
1985
Une extension de la programmation quadratique successive. Zbl 0559.90081
Bonnans, Joseph Frédéric; Gabay, Daniel
2
1984
MIDAS: a mixed integer dynamic approximation scheme. Zbl 07210782
Philpott, A. B.; Wahid, F.; Bonnans, J. F.
1
2020
Correction to: “Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations”. Zbl 1447.49037
Aronna, M. Soledad; Bonnans, J. Frédéric; Kröner, Axel
1
2018
Second-order sufficient conditions for strong solutions to optimal control problems. Zbl 1293.49039
Bonnans, J. Frédéric; Dupuis, Xavier; Pfeiffer, Laurent
1
2014
Sensitivity analysis of energy contracts by stochastic programming techniques. Zbl 1269.90070
Bonnans, J. Frédéric; Cen, Zhihao; Christel, Thibault
1
2012
The obstacle problem for water tanks. Zbl 1034.49037
Bonnans, J. F.; Bessi Fourati, R.; Smaoui, H.
1
2003
Perturbed optimization in Banach spaces. III: Semi-infinite optimization. Zbl 0872.49008
Bonnans, J. Frédéric; Cominetti, Roberto
1
1996
On the stability of solutions in nonlinear programming. Zbl 0722.90076
Bonnans, J. F.
1
1990
Local study of Newton type algorithms for constrained problems. Zbl 0693.49016
Bonnans, J. F.
1
1989
An introduction to Newton type algorithms for nonlinearly constrained optimization problems. Zbl 0683.90075
Bonnans, Joseph Frédéric
1
1989
A domain control approach to state-constrained control problems. Zbl 0825.49029
Bonnans, J. F.; Gaudrat, V.; Saguez, C.
1
1988
MIDAS: a mixed integer dynamic approximation scheme. Zbl 07210782
Philpott, A. B.; Wahid, F.; Bonnans, J. F.
1
2020
Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations. Zbl 1454.49028
Aronna, M. Soledad; Bonnans, J. Frédéric; Kröner, Axel
2
2018
Correction to: “Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations”. Zbl 1447.49037
Aronna, M. Soledad; Bonnans, J. Frédéric; Kröner, Axel
1
2018
Error estimates for the Euler discretization of an optimal control problem with first-order state constraints. Zbl 1394.49029
Bonnans, J. Frédéric; Festa, Adriano
7
2017
Second order analysis of control-affine problems with scalar state constraint. Zbl 1352.49020
Aronna, M. S.; Bonnans, J. F.; Goh, B. S.
5
2016
Second-order necessary conditions in Pontryagin form for optimal control problems. Zbl 1326.49028
Bonnans, J. Frédéric; Dupuis, Xavier; Pfeiffer, Laurent
7
2015
A general optimal multiple stopping problem with an application to swing options. Zbl 1327.60098
Ben Latifa, Imène; Bonnans, Joseph Frédéric; Mnif, Mohamed
3
2015
Characterization of local quadratic growth for strong minima in the optimal control of semi-linear elliptic equations. Zbl 1297.49004
Bayen, Térence; Bonnans, J. Frédéric; Silva, Francisco J.
17
2014
Optimization of running strategies based on anaerobic energy and variations of velocity. Zbl 1307.49002
Aftalion, Amandine; Bonnans, J. Frédéric
5
2014
Optimal control of a semilinear parabolic equation with singular arcs. Zbl 1301.49053
Bonnans, J. Frédéric
2
2014
Second-order sufficient conditions for strong solutions to optimal control problems. Zbl 1293.49039
Bonnans, J. Frédéric; Dupuis, Xavier; Pfeiffer, Laurent
1
2014
A shooting algorithm for optimal control problems with singular Arcs. Zbl 1275.49045
Soledad Aronna, M.; Frédéric Bonnans, J.; Martinon, Pierre
13
2013
A model-free no-arbitrage price bound for variance options. Zbl 1272.93135
Bonnans, J.  Frédéric; Tan, Xiaolu
10
2013
First- and second-order optimality conditions for optimal control problems of state constrained integral equations. Zbl 1354.49053
Bonnans, J. Frédéric; de la Vega, Constanza; Dupuis, Xavier
7
2013
Sensitivity analysis for relaxed optimal control problems with final-state constraints. Zbl 1281.49024
Frédéric Bonnans, J.; Pfeiffer, Laurent; Serea, Oana Silvia
2
2013
Quadratic order conditions for bang-singular extremals. Zbl 1252.49028
Aronna, M. Soledad; Bonnans, J. Frédéric; Dmitruk, Andrei V.; Lotito, Pablo A.
26
2012
First and second order necessary conditions for stochastic optimal control problems. Zbl 1244.49045
Bonnans, J. Frédéric; Silva, Francisco J.
18
2012
Energy contracts management by stochastic programming techniques. Zbl 1254.90132
Bonnans, J. Frédéric; Cen, Zhihao; Christel, Thibault
6
2012
Characterization of a local quadratic growth of the Hamiltonian for control constrained optimal control problems. Zbl 1264.49020
Bonnans, J. Frédéric; Osmolovskii, Nikolai P.
2
2012
Asymptotic expansions for interior penalty solutions of control constrained linear-quadratic problems. Zbl 1252.49055
Álvarez, Felipe; Bolte, Jérôme; Bonnans, J. Frédéric; Silva, Francisco J.
2
2012
Error estimates for the logarithmic barrier method in linear quadratic stochastic optimal control problems. Zbl 1250.93118
Bonnans, J. Frédéric; Silva, Francisco J.
2
2012
Sensitivity analysis of energy contracts by stochastic programming techniques. Zbl 1269.90070
Bonnans, J. Frédéric; Cen, Zhihao; Christel, Thibault
1
2012
Optimal structure of gas transmission trunklines. Zbl 1272.90005
André, Jean; Bonnans, J. Frédéric
7
2011
Asymptotic expansion for the solutions of control constrained semilinear elliptic problems with interior penalties. Zbl 1323.49002
Bonnans, J. Frédéric; Silva, Francisco J.
6
2011
Optimal control of a parabolic equation with time-dependent state constraints. Zbl 1208.49024
Bonnans, J. Frédéric; Jaisson, Pascal
12
2010
Second-order analysis of optimal control problems with control and initial-final state constraints. Zbl 1207.49020
Bonnans, J. Frédéric; Osmolovskiĭ, N. P.
8
2010
Optimal control of state constrained integral equations. Zbl 1221.49039
Bonnans, Joseph Frédéric; Sánchez Fernández de la Vega, Constanza
4
2010
Lipschitz solutions of optimal control problems with state constraints of arbitrary order. Zbl 1225.49023
Bonnans, J. Frédéric
4
2010
Quadratic growth conditions in optimal control problems. Zbl 1235.49042
Bonnans, J. Frédéric; Osmolovskii, N. P.
3
2010
Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints. Zbl 1158.49023
Bonnans, J. Frédéric; Hermant, Audrey
23
2009
No-gap second-order optimality conditions for optimal control problems with a single state constraint and control. Zbl 1167.49021
Bonnans, J. Frédéric; Hermant, Audrey
16
2009
Singular arcs in the generalized Goddard’s problem. Zbl 1159.49027
Bonnans, F.; Martinon, P.; Trélat, E.
9
2009
Optimization of capacity expansion planning for gas transportation networks. Zbl 1176.90045
Andre, Jean; Bonnans, Frédéric; Cornibert, Laurent
8
2009
Revisiting the analysis of optimal control problems with several state constraints. Zbl 1242.49046
Bonnans, J.; Hermant, A.
7
2009
Control problems with mixed constraints and application to an optimal investment problem. Zbl 1212.49037
Bonnans, J. F.; Tiba, D.
2
2009
Stability and sensitivity analysis for optimal control problems with a first-order state constraint and application to continuation methods. Zbl 1148.49026
Bonnans, Joseph Frédéric; Hermant, Audrey
9
2008
Fast computation of the leastcore and prenucleolus of cooperative games. Zbl 1154.91317
Bonnans, 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 1251.49036
Bonnans, J. Frédéric; Hermant, Audrey
11
2007
Error estimates for a stochastic impulse control problem. Zbl 1127.93057
Bonnans, Frederic; Maroso, Stefania; Zidani, Housnaa
5
2007
Numerical optimization. Theoretical and practical aspects. Transl. from the French. 2nd reviseded. Zbl 1108.65060
Bonnans, J. Frédéric; Gilbert, J. Charles; Lemaréchal, Claude; Sagastizábal, Claudia A.
91
2006
Computation of order conditions for symplectic partitioned Runge-Kutta schemes with application to optimal control. Zbl 1112.65063
Bonnans, J. Frédéric; Laurent-Varin, Julien
19
2006
Error estimates for stochastic differential games: the adverse stopping case. Zbl 1130.91014
Bonnans, J. Frédéric; Maroso, Stefania; Zidani, Housnaa
6
2006
No-gap second-order optimality conditions for optimal control problems with a single state constraint and control. Zbl 1101.49020
Bonnans, J. Frédéric; Hermant, Audrey
4
2006
Fast linear algebra for multiarc trajectory optimization. Zbl 1105.49037
Bérend, Nicolas; Bonnans, J. Frédéric; Laurent-Varin, Julien; Haddou, Mounir; Talbot, Christophe
2
2006
Perturbation analysis of second-order cone programming problems. Zbl 1124.90039
Bonnans, J. Frédéric; Ramírez C., Héctor
56
2005
Control and optimization of dynamical systems. Zbl 1229.37001
Bonnans, Frédéric; Rouchon, Pierre
2
2005
A fast algorithm for the two dimensional HJB equation of stochastic control. Zbl 1130.93433
Bonnans, J. Frédéric; Ottenwaelter, Élisabeth; Zidani, Housnaa
26
2004
Parametric optimization of hybrid car engines. Zbl 1072.90573
Bonnans, 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 1130.49307
Bonnans, J. Frédéric; Zidani, Housnaa
23
2003
Numerical optimization. Theoretical and practical aspects. Transl. from the French. Zbl 1014.65045
Bonnans, J. Frédéric; Gilbert, J. Charles; Lemaréchal, Claude; Sagastizábal, Claudia A.
22
2003
Using logarithmic penalties in the shooting algorithm for optimal control problems. Zbl 1073.49022
Bonnans, J. F.; Guibaud, Th.
6
2003
The obstacle problem for water tanks. Zbl 1034.49037
Bonnans, J. F.; Bessi Fourati, R.; Smaoui, H.
1
2003
Perturbation analysis of optimization problems. Zbl 0966.49001
Bonnans, J. Frédéric; Shapiro, Alexander
699
2000
Mathematical study of very high voltage power networks. III: The optimal AC power flow problem. Zbl 0973.49021
Bonnans, J. Frédéric
3
2000
Second order optimality conditions based on parabolic second order tangent sets. Zbl 0990.90127
Bonnans, J. Frédéric; Cominetti, Roberto; Shapiro, Alexander
64
1999
Optimal control problems with partially polyhedric constraints. Zbl 0945.49020
Bonnans, J. Frédéric; Zidani, Housnaa
27
1999
Optimization problems with perturbations: A guided tour. Zbl 0915.49021
Bonnans, J. Frédéric; Shapiro, Alexander
42
1998
Second-order analysis for control constrained optimal control problems of semilinear elliptic systems. Zbl 0917.49020
Bonnans, J. F.
31
1998
Sensitivity analysis of optimization problems under second order regular constraints. Zbl 0977.90053
Bonnans, J. Frédéric; Cominetti, Roberto; Shapiro, Alexander
19
1998
Nondegeneracy and quantitative stability of parameterized optimization problems with multiple solutions. Zbl 0912.90266
Bonnans, J. Frédéric; Shapiro, Alexander
8
1998
Mathematical study of very high voltage power networks. II: The AC power flow problem. Zbl 0922.49020
Bonnans, J. Frédéric
3
1998
A trust region interior point algorithm for linearly constrained optimization. Zbl 0899.90146
Bonnans, J. Frédéric; Pola, Cecilia
22
1997
Numerical optimization. Theoretical and practice aspects. Zbl 0952.65044
Bonnans, 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 0883.90117
Bonnans, J. Frédéric; Potra, Florian A.
6
1997
Fast convergence of the simplified largest step path following algorithm. Zbl 0881.90114
Gonzaga, Clovis C.; Bonnans, J. Frédéric
5
1997
Mathematical study of very high voltage power networks. I: The optimal DC power flow problem. Zbl 0922.49019
Bonnans, J. Frédéric
4
1997
Convergence of interior point algorithms for the monotone linear complementarity problem. Zbl 0846.90109
Bonnans, J. Frédéric; Gonzaga, Clovis C.
20
1996
Perturbed optimization in Banach spaces. I: A general theory based on a weak directional constraint qualification. Zbl 0862.49022
Bonnans, J. Frédéric; Cominetti, Roberto
4
1996
Perturbed optimization in Banach spaces. II: A theory based on a strong directional constraint qualification. Zbl 0862.49023
Bonnans, J. Frédéric; Cominetti, Roberto
2
1996
Perturbed optimization in Banach spaces. III: Semi-infinite optimization. Zbl 0872.49008
Bonnans, J. Frédéric; Cominetti, Roberto
1
1996
A family of variable metric proximal methods. Zbl 0832.90102
Bonnans, J. F.; Gilbert, J. Ch.; Lemaréchal, C.; Sagastizábal, C. A.
29
1995
An extension of Pontryagin’s principle for state-constrained optimal control of semilinear elliptic equations and variational inequalities. Zbl 0821.49018
Bonnans, Frédéric; Casas, Eduardo
27
1995
Second-order sufficiency and quadratic growth for nonisolated minima. Zbl 0846.90095
Bonnans, Joseph Frédéric; Ioffe, Alexander
13
1995
Pseudopower expansion of solutions of generalized equations and constrained optimization problems. Zbl 0842.65044
Bonnans, Joseph Frédéric; Sulem, Agnès
8
1995
Sequential quadratic programming with penalization of the displacement. Zbl 0841.90110
Bonnans, J. F.; Launay, G.
8
1995
The trust region affine interior point algorithm for convex and nonconvex quadratic programming. Zbl 0835.90061
Bonnans, J. F.; Bouhtou, M.
6
1995
Quadratic growth and stability in convex programming problems with multiple solutions. Zbl 0839.90090
Bonnans, J. Frédéric; Ioffe, Alexander D.
5
1995
Local analysis of Newton-type methods for variational inequalities and nonlinear programming. Zbl 0809.90115
Bonnans, J. Frédéric
50
1994
Avoiding the Maratos effect by means of a nonmonotone line search. II: Inequality constrained problems — feasible iterates. Zbl 0763.65042
Bonnans, J. Frédéric; Panier, Eliane R.; Tits, André L.; Zhou, Jian L.
39
1992
Sensitivity analysis of parametrized programs under cone constraints. Zbl 0766.90076
Shapiro, A.; Bonnans, J. F.
5
1992
Directional derivatives of optimal solutions in smooth nonlinear programming. Zbl 0792.90064
Bonnans, J. F.
4
1992
A boundary Pontryagin’s principle for the optimal control of state- constrained elliptic systems. Zbl 0769.49017
Bonnans, J. Frédéric; Casas, Eduardo
4
1992
Expansion of exact and approximate solutions in nonlinear programming. Zbl 0769.90070
Bonnans, J. Frédéric; Ioffe, Alexander D.; Shapiro, Alexander
3
1992
Pontryagin’s principle in the control of semilinear elliptic variational inequalities. Zbl 0728.49003
Bonnans, 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 0742.93035
Bonnans, Joseph Frédéric; Casas, Eduardo
9
1991
On the stability of sets defined by a finite number of equalities and inequalities. Zbl 0794.93096
Bonnans, J. F.; Launay, G.
5
1991
On the stability of solutions in nonlinear programming. Zbl 0722.90076
Bonnans, J. F.
1
1990
Optimal control of semilinear multistate systems with state constraints. Zbl 0667.49014
Bonnans, Joseph Frederic; Casas, Eduardo
20
1989
A semistrong sufficiency condition for optimality in nonconvex programming and its connection to the perturbation problem. Zbl 0631.90065
Bonnans, J. F.
3
1989
Asymptotic admissibility of the unit stepsize in exact penalty methods. Zbl 0678.90068
Bonnans, Joseph Frédéric
2
1989
Local study of Newton type algorithms for constrained problems. Zbl 0693.49016
Bonnans, J. F.
1
1989
An introduction to Newton type algorithms for nonlinearly constrained optimization problems. Zbl 0683.90075
Bonnans, Joseph Frédéric
1
1989
Contrôle de systèmes elliptiques semilinéaires comportant des contraintes sur l’état. (Control of semilinear elliptic systems with state constraints). Zbl 0656.49011
Bonnans, J. F.; Casas, E.
9
1988
A domain control approach to state-constrained control problems. Zbl 0825.49029
Bonnans, J. F.; Gaudrat, V.; Saguez, C.
1
1988
On an algorithm for optimal control using Pontryagin’s maximum principle. Zbl 0592.49018
Bonnans, Joseph Frédéric
9
1986
Quelques méthodes pour le contrôle optimal de problèmes comportant des contraintes sur l’état. (Some methods for optimal control of state constrained problems). Zbl 0614.49019
Bonnans, J. F.; Casas, E.
3
1986
On the choice of the function spaces for some state-constrained control problems. Zbl 0589.49016
Bonnans, J. F.; Casas, E.
5
1985
On the choice of the function spaces for some state-constrained control problems. Zbl 0572.49009
Bonnans, J. F.; Casas, E.
2
1985
Une extension de la programmation quadratique successive. Zbl 0559.90081
Bonnans, Joseph Frédéric; Gabay, Daniel
2
1984
all top 5

Cited by 1,807 Authors

43 Zhang, Liwei
35 Bonnans, Joseph Frédéric
28 Mordukhovich, Boris S.
23 Casas, Eduardo
21 Izmailov, Alexey F.
17 Zhou, Jinchuan
15 Yang, Xiaoqi
14 Yao, Jen-Chih
13 Solodov, Mikhail V.
13 Zhu, Detong
12 Arutyunov, Aram Vladimirovic
12 Shapiro, Alexander
12 Silva, Francisco J.
12 Sun, Defeng
12 Tröltzsch, Fredi
11 Osmolovskiĭ, Nikolaĭ Pavlovich
11 Outrata, Jiří V.
11 Wachsmuth, Gerd
11 Xu, Huifu
10 Frankowska, Hélène
10 Hintermüller, Michael
10 Jian, Jinbao
10 Mehlitz, Patrick
10 Zhang, Jie
9 Chen, Jein-Shan
9 Gfrerer, Helmut
9 Kostyukova, Olga Ivanova
9 Phan Quôc Khánh
9 Song, Wen
9 Surowiec, Thomas
9 Xiu, Naihua
8 Fukushima, Masao
8 Kanzow, Christian
8 Li, Shengjie
8 Nghia, Tran T. A.
8 Potra, Florian-Alexandru
8 Sarabi, M. Ebrahim
8 Solodov, Michael V.
8 Touzi, Nizar
8 Tuan, Nguyen Dinh
8 Wachsmuth, Daniel
8 Zhang, Haisen
8 Zhang, Xu
8 Zhu, Zhibin
7 Aronna, María Soledad
7 Avakov, Evgeniĭ Rachievich
7 Bermúdez, Alfredo
7 Durea, Marius
7 Haeser, Gabriel
7 Jakobsen, Espen Robstad
7 Liu, Yong-Jin
7 López-Cerdá, Marco Antonio
7 Meyer, Christian
7 Pan, Shaohua
7 Pang, Jong-Shi
7 Qi, Houduo
7 Tan, Xiaolu
7 Tang, Chunming
7 Tchemisova, Tatiana V.
7 Teo, Kok Lay
7 Xiao, Xiantao
7 Nguyen Dong Yen
6 De los Reyes, Juan Carlos
6 Dentcheva, Darinka
6 Dontchev, Asen L.
6 Guan, Hongbo
6 Hermant, Audrey
6 Luan, Shu
6 Qi, Liqun
6 Rösch, Arnd
6 Sagastizábal, Claudia A.
6 Sama, Miguel
6 Shi, Dongyang
6 Strugariu, Radu
6 Sun, Hailin
6 Zheng, Xiyin
5 Barton, Paul I.
5 Chen, Qihong
5 Chuong, Thai Doan
5 Facchinei, Francisco
5 Fernández, Damián
5 Fischer, Andreas M.
5 Gao, Hang
5 Goberna, Miguel Angel
5 Gu, Jian
5 Guo, Shaoyan
5 Herzog, Roland
5 Huy, Nguyen Quang
5 Klatte, Diethard
5 Kunisch, Karl
5 Lewis, Adrian S.
5 Lu, Zuliang
5 Mirebeau, Jean-Marie
5 Ng, Kung-Fu
5 Phạm Tiên So’n
5 Picarelli, Athena
5 Reich, Simeon
5 Reisinger, Christoph
5 Ruszczyński, Andrzej
5 Sagastizábal, Claudia S.
...and 1,707 more Authors
all top 5

Cited in 226 Serials

143 Journal of Optimization Theory and Applications
107 Mathematical Programming. Series A. Series B
85 SIAM Journal on Optimization
62 Computational Optimization and Applications
41 SIAM Journal on Control and Optimization
39 Journal of Global Optimization
35 Set-Valued and Variational Analysis
34 Journal of Computational and Applied Mathematics
34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
33 European Journal of Operational Research
31 Journal of Mathematical Analysis and Applications
29 Applied Mathematics and Computation
27 Optimization
27 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
25 Optimization Letters
24 Applied Mathematics and Optimization
24 Optimization Methods & Software
20 Numerical Functional Analysis and Optimization
17 Mathematical Methods of Operations Research
14 Journal of Industrial and Management Optimization
13 Numerische Mathematik
13 Operations Research Letters
12 Computers & Mathematics with Applications
10 SIAM Journal on Numerical Analysis
9 Automatica
9 Optimal Control Applications & Methods
9 Systems & Control Letters
9 Applied Numerical Mathematics
9 The Annals of Applied Probability
9 Numerical Algorithms
9 Mathematical Control and Related Fields
8 Journal of Inequalities and Applications
8 Fixed Point Theory and Applications
7 Computer Methods in Applied Mechanics and Engineering
7 Acta Mathematica Vietnamica
7 Journal of Differential Equations
7 Annals of Operations Research
7 Applied Mathematical Modelling
7 Linear Algebra and its Applications
7 Top
7 Abstract and Applied Analysis
7 Optimization and Engineering
6 Acta Mathematicae Applicatae Sinica. English Series
6 Journal of Mathematical Imaging and Vision
6 Positivity
6 Acta Mathematica Sinica. English Series
6 Science China. Mathematics
5 Journal of Computational Physics
5 Mathematics of Computation
5 Transactions of the American Mathematical Society
5 Set-Valued Analysis
5 Journal of Mathematical Sciences (New York)
5 Discrete and Continuous Dynamical Systems
5 Nonlinear Analysis. Real World Applications
5 Journal of Systems Science and Complexity
5 Journal of Applied Mathematics and Computing
5 Proceedings of the Steklov Institute of Mathematics
5 Journal of the Operations Research Society of China
4 Applicable Analysis
4 The Annals of Statistics
4 Mathematics and Computers in Simulation
4 Asia-Pacific Journal of Operational Research
4 Journal of Scientific Computing
4 Machine Learning
4 Neural Computation
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Computational and Applied Mathematics
4 Discrete and Continuous Dynamical Systems. Series B
4 Journal of Applied Mathematics
4 Journal of Fixed Point Theory and Applications
4 Journal of Function Spaces
3 Computers and Fluids
3 Mathematical Notes
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 RAIRO. Modélisation Mathématique et Analyse Numérique
3 Numerical Methods for Partial Differential Equations
3 SIAM Journal on Mathematical Analysis
3 Journal of Convex Analysis
3 European Journal of Control
3 Mathematical Finance
3 Vietnam Journal of Mathematics
3 Taiwanese Journal of Mathematics
3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
3 Journal of Dynamical and Control Systems
3 RAIRO. Operations Research
3 Foundations of Computational Mathematics
3 4OR
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
2 International Journal of Control
2 Journal of the Franklin Institute
2 Psychometrika
2 Annals of the Institute of Statistical Mathematics
2 Information Sciences
2 Journal of Econometrics
2 Journal of Statistical Planning and Inference
2 Kodai Mathematical Journal
2 Kybernetika
2 Mathematics of Operations Research
2 Opsearch
...and 126 more Serials
all top 5

Cited in 47 Fields

871 Operations research, mathematical programming (90-XX)
699 Calculus of variations and optimal control; optimization (49-XX)
351 Numerical analysis (65-XX)
146 Partial differential equations (35-XX)
109 Systems theory; control (93-XX)
87 Operator theory (47-XX)
76 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
47 Probability theory and stochastic processes (60-XX)
43 Mechanics of deformable solids (74-XX)
40 Statistics (62-XX)
31 Ordinary differential equations (34-XX)
30 Functional analysis (46-XX)
27 Computer science (68-XX)
23 Real functions (26-XX)
23 Fluid mechanics (76-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
18 Convex and discrete geometry (52-XX)
18 Biology and other natural sciences (92-XX)
16 Information and communication theory, circuits (94-XX)
15 Global analysis, analysis on manifolds (58-XX)
9 General topology (54-XX)
9 Mechanics of particles and systems (70-XX)
7 Algebraic geometry (14-XX)
7 Integral equations (45-XX)
6 Dynamical systems and ergodic theory (37-XX)
3 Combinatorics (05-XX)
3 Approximations and expansions (41-XX)
3 Differential geometry (53-XX)
3 Quantum theory (81-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 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 Statistical mechanics, structure of matter (82-XX)
2 Mathematics education (97-XX)
1 General and overarching topics; collections (00-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Number theory (11-XX)
1 Commutative algebra (13-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geophysics (86-XX)

Citations by Year