Bibliography

Major publications by the team in recent years

[1]

N. Bérend, J. Bonnans, J. Laurent-Varin, M. Haddou, C. Talbot.
An Interior-Point Approach to Trajectory Optimization, in: J. Guidance, Control and Dynamics, 2007, vol. 30, n^o 5, p. 1228-1238.

[2]

O. Bokanowski, B. Bruder, S. Maroso, H. Zidani.
Numerical approximation for a superreplication problem under gamma constraints, in: SIAM. Num. Analysis., 2009, vol. 47(3), p. 2289–2320.

[3]

O. Bokanowski, N. Megdich, H. Zidani.
Convergence of a non-monotone scheme for Hamilton-Jacobi-Bellman equations with discontinuous initial data, in: Numerische Mathematik - DOI: 10.1007/s00211-009-0271-1, 2009.

[4]

J. Bonnans, J. C. Gilbert, C. Lemaréchal, C. Sagastizábal.
Numerical Optimization: theoretical and numerical aspects, Universitext, Springer-Verlag, Berlin, 2006, second edition.

[5]

J. Bonnans, S. Maroso, H. Zidani.
Error estimates for a stochastic impulse control problem, in: Appl. Math. and Optim., 2007, vol. 55, n^o 3, p. 327–357.

[6]

J. Bonnans, A. Shapiro.
Perturbation analysis of optimization problems, Springer-Verlag, New York, 2000.

[7]

J. Bonnans, H. Zidani.
Consistency of generalized finite difference schemes for the stochastic HJB equation, in: SIAM J. Numerical Analysis, 2003, vol. 41, p. 1008-1021.

[8]

B. Bonnard, L. Faubourg, E. Trélat.
Mécanique céleste et contrôle des véhicules spatiaux, Springer-Verlag, 2006.

[9]

J. Gergaud, P. Martinon.
Using switching detection and variational equations for the shooting method, in: Optimal Control Applications and Methods, 2007, vol. 28, n^o 2, p. 95–116.

[10]

P. Martinon, J. Bonnans, E. Trélat.
Singular arcs in the generalized Goddard's Problem, in: J. Optimization Theory Applications, 2008, vol. 139, n^o 2, p. 439-4361.

Publications of the year

Articles in International Peer-Reviewed Journal

[11]

J. André, J. Bonnans.
Optimal structure of gas transmission trunklines, in: Optimization and Engineering, 2010, Rapport de Recherche INRIA RR 6791, Jan 2009. Accepted Oct. 2009.

[12]

M. André, J. Bonnans, L. Cornibert.
Planning reinforcement on gas transportation networks with optimization methods, in: European J. Operational Research, 2009, vol. 197, n^o 3, p. 1019-1027.

[13]

O. Bokanowski, A. Briani, H. Zidani.
Minumum time control problems for non autonomous differential equations, in: Systems & Control Letters, 2009, vol. 58, p. 742–746.

[14]

O. Bokanowski, B. Bruder, S. Maroso, H. Zidani.
Numerical approximation for a superreplication problem under gamma constraints, in: SIAM. Num. Analysis., 2009, vol. 47(3), p. 2289–2320.

[15]

O. Bokanowski, E. Cristiani, H. Zidani.
An efficient data structure and accurate scheme to solve front propagation problems, in: Journal of Scientific Computing, 2009.

[16]

O. Bokanowski, N. Forcadel, H. Zidani.
L1-error estimates for numerical approximations of Hamilton-Jacobi-Bellman equations in dimension 1, in: Mathematics of Computation, 2009.

[17]

O. Bokanowski, S. Maroso, H. Zidani.
Some convergence results for Howard's algorithm, in: SIAM. J. Num. Analysis., 2009, vol. 47(4), p. 3001–3026.

[18]

O. Bokanowski, N. Megdich, H. Zidani.
Convergence of a non-monotone scheme for Hamilton-Jacobi-Bellman equations with discontinuous initial data, in: Numerische Mathematik, 2009.

[19]

J. Bonnans, A. Hermant.
No Gap Second order Optimality Conditions for Optimal Control Problems with a single State Constraint and Control, in: Mathematical Programming, Series B, 2009, vol. 117, p. 21-50.

[20]

J. Bonnans, A. Hermant.
Revisiting the Analysis of Optimal Control Problems with Several State Constraints, in: Control and Cybernetics, 2009, vol. 34, n^o 4.

[21]

J. Bonnans, A. Hermant.
Second-order Analysis for Optimal Control Problems with Pure State Constraints and Mixed Control-State Constraints, in: Annales de l'I.H.P. - Nonlinear Analysis, 2009, vol. 26, n^o 2, p. 561-598.

[22]

J. Bonnans, M. Lebelle.
Explicit polyhedral approximation of the Euclidean ball, in: RAIRO-RO, 2010, vol. 44, To appear.

[23]

J. Bonnans, N. Osmolovskiĭ.
Second-order analysis of optimal control problems with control and initial-final state constraints, in: J. Convex Analysis, 2010, vol. 17.

[24]

A. Briani, R. Monneau.
Time-homogenization of a first order system arising in the modelling of the dynamics of dislocations densities, in: Comptes Rendus de l'Académie des sciences Paris Ser. I, 2009, vol. 347, p. 231–236.

[25]

P. Martinon, J. Bonnans, E. Trélat.
Numerical study of optimal trajectories with singular arcs for space launcher problems, in: AIAA J. of Guidance, Control and Dynamics, 2009, vol. 32, n^o 1, p. 51-55.

[26]

M. Quincampoix, O. Serea.
The problem of optimal control with reflection s tudied through a linear optimization problem stated on occupational measures, in: Nonlinear Analysis TMA, 2010, Accepted under minor revision.

[27]

O. Serea.
Reflected differential games, in: SIAM J. Control Optim., 2009, vol. 48, n^o 4, p. 2516-2532.

Articles in Non Peer-Reviewed Journal

[28]

J. Bonnans, D. Tiba.
Control problems with mixed constraints and application to an optimal investment problem, in: Mathematical Reports (Romanian Academy of Sciences), 2009, vol. 11, n^o 4, Dedicated to Dr. Constantin Varsan on the occasion of his 70th Birthday.

Internal Reports

[29]

N. Alibaud, A. Briani, R. Monneau.
Diffusion as a singular homogenization of the Frenkel-Kontorova model, 2009, submitted, hal-00372407.

[30]

F. Alvarez, J. Bolte, J. Bonnans, F. Silva.
Asymptotic expansions for interior penalty solutions of control constrained linear-quadratic problems, INRIA, 2009, n^o RR 6863, Technical report.

[31]

O. Bokanowski, N. Forcadel, H. Zidani.
Reachability and minimal times for state constrained nonlinear problems without any controllability assumption, 2009, submitted, hal-00395589.

[32]

J. Bonnans, Z. Cen, T. Christel.
Stochastic programming using optimal quantization, INRIA, 2009, To appear.

[33]

J. Bonnans, F. Silva.
Asymptotic expansions for the solution of a penalized control constrained semilinear elliptic problem, INRIA, December 2009, n^o 7126, Technical report.

[34]

A. Briani, H. Zidani.
Characterisation of the value function of final state constrained control problems with BV trajectories, 2009, submitted.

[35]

E. Cristiani, P. Martinon.
Initialization of the shooting method via the Hamilton-Jacobi-Bellman approach, 2010, submitted, Rapport de Recherche INRIA RR 7139, hal inria-00439543.

[36]

J. Krawczyk, O. Serea.
A viability theory approach to a two-stage optimal control problem, 2009
http://ideas.repec.org/p/pra/mprapa/10103.html, Technical report.

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J. Bonnans, J. C. Gilbert, C. Lemaréchal, C. Sagastizábal.
Numerical Optimization: theoretical and numerical aspects, Universitext, Springer-Verlag, Berlin, 2006, second edition.

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J. Bonnans, T. Guilbaud, A. Ketfi-Cherif, C. Sagastizábal, D. von Wissel, H. Zidani.
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J. Bonnans, A. Hermant.
Well-Posedness of the Shooting Algorithm for State Constrained Optimal Control Problems with a Single Constraint and Control, in: SIAM J. Control Optimization, 2007, vol. 46, n^o 4, p. 1398–1430.

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J. Bonnans, A. Hermant.
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J. Bonnans, A. Hermant.
Second-order Analysis for Optimal Control Problems with Pure State Constraints and Mixed Control-State Constraints, 2009, vol. 26, n^o 2, p. 561-598.

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J. Bonnans, S. Maroso, H. Zidani.
Error estimates for stochastic differential games: the adverse stopping case, in: IMA, J. Numerical Analysis, 2006, vol. 26, p. 188-212.

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J. Bonnans, S. Maroso, H. Zidani.
Error estimates for a stochastic impulse control problem, in: Appl. Math. and Optim., 2007, vol. 55, n^o 3, p. 327–357.

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J. Bonnans, E. Ottenwaelter, H. Zidani.
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