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RESEARCH REPORTS

J. F. Bonnans, J. Gianatti:
Optimal control of an agestructured system with state
constraints.
Hal preprint, June 2019.

M. S. Aronna, J. F. Bonnans, A. Kroener:
Optimal control of a semilinear heat equation with bilinear
controlstate terms subject to state and control constraints.
Arxiv preprint, June 2019.

C. Rommel, J.F. Bonnans, P. Martinon, B. Gregorutti:
Structured Feature Selection of Continuous DynamicalSystems
for Aircraft Dynamics Identification.
Hal Inria, 2018.

C. Rommel, J.F. Bonnans, P. Martinon, B. Gregorutti:
Quantifying the Closeness to a Set of Random Curves via the Mean Marginal Likelihood.
Hal Inria, 2018.

C. Rommel, J.F. Bonnans, P. Martinon, B. Gregorutti:
Block sparse linear models for learning structured dynamical systems
in aeronautics.
Hal Inria, 2018.
2019 PUBLICATIONS

J. F. Bonnans, S. Hadikhanloo, L. Pfeiffer:
Schauder Estimates for a Class of Potential Mean Field Games of Controls.
Arxiv preprint, Feb. 2019.
HalInria preprint, Feb. 2019.
Applied Mathematis and Optimization, acccepted May 2019.

A. Le Rhun, J.F. Bonnans, G. De Nunzio, T. Leroy, P. Martinon:
A stochastic databased traffic model applied to vehicles energy
consumption estimation.
Hal Inria, 2018.
IEEE Transactions on Intelligent Transportation Systems, accepted June 2019.

C. Rommel, J.F. Bonnans, P. Martinon, B. Gregorutti:
Gaussian Mixture Penalty for Trajectory Optimization Problems.
Hal Inria, 2018.
J. Guidance, Control, and Dynamics, accepted Feb. 2019.

A. Philpott, J.F. Bonnans, F. Wahid:
MIDAS: A Mixed Integer Dynamic Approximation Scheme.
Mathematical Programming, accepted Jan. 2019.

S. Aronna, J.F. Bonnans, A. Kroener:
Optimal control of PDEs in a complex space setting;
application to the Schroedinger equation.
SIAM J. Control Optimization 572 (2019), pp. 1390–1412.

J.F. Bonnans, J. Gianatti, F. J. Silva:
On the time discretization of stochastic optimal control problems:
The dynamic programming approach.
ESAIM COCV, accepted.
2018 PUBLICATIONS

J.F. Bonnans, A. Kroener:
Variational analysis for options with stochastic volatility and
multiple factors.
SIAM Journal on Financial Mathematics
92 (2018), 465492.

S. Aronna, J.F. Bonnans, A. Kroener:
Optimal control of infinite dimensional bilinear systems:
Application to the heat and wave equations.
Math. Programming 1681 (2018), 717757.
HalInria report.

S. Aronna, J.F. Bonnans, A. Kroener:
Corrections to:
Optimal control of infinite dimensional bilinear systems:
Application to the heat and wave equations.
Math. Programming 1702 (2018), 569570.

B. Heymann, P. Martinon, F. Silva, F. Lanas, G. Jimenez, J.F. Bonnans:
Continuous Optimal Control Approaches to Microgrid Energy
Management.
Energy Systems 91 (2018), 5977.
2017 PUBLICATIONS

J.F. Bonnans, A. Festa:
Error estimates for the Euler discretization of an optimal
control problem with firstorder state constraints.
SIAM J. Numerical Analysis 552 (2017), 445471.
Preprint.

M.S. Aronna, J.F. Bonnans, A. Kroener:
Optimal control of bilinear systems in a complex space setting.
Proc. IFAC 20th World Congress, Toulouse (France), July 914, 2017.

J.F. Bonnans, B. Gregorutti, Baptist, P. Martinon, C. Rommel:
Aircraft Dynamics Identification for Optimal Control.
Proc. EUCASS Conf., Milano, July 36, 2017.
Preprint.
2016 PUBLICATIONS

J.F. Bonnans, J. Gianatti, F. J. Silva:
On the convergence of the SakawaShindo algorithm in stochastic
control.
Mathematical Control and Related Fields
63 (2016), 391406.

M.S. Aronna, J.F. Bonnans, B.S. Goh:
Second order analysis of stateconstrained controlaffine
problems.
Math. Programming 1601, 115147,
Preprint .

I. Ben Latifa, J.F. Bonnans, M. Mnif:
Numerical methods for an optimal multiple stopping problem.
Stochastics and Dynamics 165, 2016.
Hal archive .

B. Heymann, J.F. Bonnans, G. Jimenez, F. Silva:
A Stochastic Continuous Time Model for Microgrid Energy
Management.
European Control Conference (ECC),
Aalborg, Denmark, June 29  July 1, 2016.
2015 PUBLICATIONS
2014 PUBLICATIONS

J.F. Bonnans, X. Dupuis, L. Pfeiffer:
Secondorder necessary conditions in Pontryagin form for
optimal control problems.
SIAM J. Control Optim. 526 (2014), 38873916.

A. Aftalion, J.F. Bonnans:
Optimization of running strategies based on
anaerobic energy and variations of velocity.
SIAM J. Applied Math 745 (2014), 16151636.

J.F. Bonnans:
Optimal control of a semilinear parabolic
equation with singular arcs.
Optimization, Methods and Software 295 (2014), 964978.

F. Bonnans, X. Dupuis, L. Pfeiffer:
Secondorder sufficient conditions for strong
solutions to optimal control problems.
ESAIMCOCV 1591 (2014), 140.

K. Barty, J.F. Bonnans, L. Pfeiffer:
Sensitivity analysis for the outages of nuclear power plants.
Energy Systems 52 (2014), 371406.

T. Bayen, J.F. Bonnans, F. Silva:
Characterization of local quadratic growth for strong minima in the optimal control of semilinear elliptic equations.
Trans. Amer. Math. Soc. 3664 (2014), 20632087.
2013 PUBLICATIONS

J.F. Bonnans, X. Dupuis, C. de la Vega:
First and SecondOrder Optimality Conditions for
Optimal Control Problems of State Constrained Integral Equations
.
J. Optim. Theory Applic. 1591 (2013), 140.

M.S. Aronna, J.F. Bonnans, P. Martinon:
A shooting algorithm for optimal control
problems with singular arcs.
J. Optim. Theory Applic. 1582 (2013), 419459.
Preprint:
INRIA Report 7763.

J.F. Bonnans, X. Tan:
A modelfree noarbitrage price bound for variance options.
Applied Math. Optimization 681 (2013), 4373.

J.F. Bonnans, L. Pfeiffer, O. Serea:
Sensitivity analysis for relaxed optimal control problems
with final state constraints.
Nonlinear Analysis Series A, 89 (2013), 55  80.

J.F. Bonnans:
The shooting approach to optimal control problems.
Proc. IFAC International Workshop on Adaptation and Learning in
Control and Signal Processing, Caen, July 35, 2013.
Preprint.

J.F. Bonnans:
Singular arcs in the optimal control of a parabolic equation.
Proc. 13th European Control Conference, Zurich, July 1719, 2013.
2012 PUBLICATIONS

F. Alvarez, J. Bolte J.F. Bonnans, and F.J. Silva:
Asymptotic expansions for interior penalty solutions of control constrained linearquadratic problems.
Mathematical Programming 135 (2012) n. 12, 473507.
 M.S. Aronna, J.F. Bonnans, A.V. Dmitruk, P.A. Lotito:
Quadratic order conditions for bangsingular extremals.
Numerical Algebra, Control and Optimization Vol 2 num 3 (2012), 511546.

J.F. Bonnans, Z. Cen, and Th. Christel:
Energy contracts management by stochastic programming techniques.
Annals of Operations Research 2001 (2012), 199222.
 J.F. Bonnans, N. Osmolovskii:
Characterization of a local quadratic growth of the Hamiltonian
for control constrained optimal control problems.
Dynamics of Continuous, Discrete and Impulsive Systems,
special issue dedicated to the memory of Professor Arie Leizarowitz,
19 (2012) 12, 116.
 J.F. Bonnans F. Silva :
First and second order necessary conditions
for stochastic optimal control problems.
Applied Mathematics and Optimization 653 (2012), 403439.

J.F. Bonnans F. Silva :
Error estimates for the logarithmic barrier method
in linear quadratic stochastic optimal control problems.
Systems and Control Letters 61 (2012), 143147.

J.F. Bonnans, Z. Cen, and Th. Christel:
Sensitivity analysis of energy contracts
by stochastic programming techniques.
R. Carmona, P. Del Moral, P. Hu, N. Oudjane eds,
Springer Proceeding in Mathematics series 12 (2012), 447471.
2011 PUBLICATIONS

S. Adam, F. Bonnans, R. Paraisy, S. Veyrat:
Application of convex lexicographical optimization to the
balance of GRTgaz gas grid (local copy).
J. Global Optimization Vol. 493 (2011), 415423.

J. André, J.F. Bonnans:
Optimal features of gas transmission networks
(local copy).
Optimization and Engineering 12 (2011), 175198.

J.F. Bonnans, F. Silva:
Asymptotic Expansion for the Solutions of Control Constrained Semilinear Elliptic Problems with Interior Penalties.
SIAM J. Control Optim. 49 (2011), 24942517.

K. Aouiche, J.F. Bonnans, G. Granato, H. Zidani:
A Stochastic Dynamic Principle for Hybrid Systems with
Execution Delay and Decision Lags.
IEEE Conf. on Decision and Control,
Orlando, Dec. 1215, 2011.
2010 PUBLICATIONS

J.F. Bonnans:
Lipschitz solutions of optimal control problems with state
constraints of arbitrary order.
Mathematics and its Applications / Annals AOSR 2 (2010), 7898.
Local copy.

J.F. Bonnans and C. de la Vega:
Optimal control of state constrained integral equations.
SetValued Analysis 183 (2010), 307326.

J.F. Bonnans, P. Jaisson:
Optimal control of a timedependent state constrained parabolic equation.
SIAM J. Control Optim 487 (2010), 45504571.

J.F. Bonnans, M. Lebelle:
Explicit polyhedral approximation of the Euclidean ball.
RAIRORO, Vol. 441 (2010), 4559.

J.F. Bonnans, N.P. Osmolovskii:
Secondorder analysis of optimal control problems
with control and initialfinal state constraints.
J. of Convex Analysis 173, 885913.

J.F. Bonnans, N.P. Osmolovskii:
Quadratic growth conditions in optimal control problems.
In `` Nonlinear Analysis and Optimization II: Optimization''.
A. Leizarowitz and al. ed.
Contemporary Mathematics series, Volume 514 (2010), 8598.
2009 PUBLICATIONS

J. André, F. Bonnans, and L. Cornibert:
Planning reinforcement on gas transportation networks
with optimization methods.
European Journal of Operational Research, 1973(2009), 10191027.

J.F. Bonnans, A. Hermant:
Revisiting the Analysis of Optimal Control Problems with Several State Constraint.
Control and Cybernetics 344, 2009.
Erratum.

J.F. Bonnans, A. Hermant:
Nogap Secondorder Optimality Conditions for Optimal Control
Problems with a Single State Constraint and Control.
Mathematical Programming Series B,
Special issue in the honor of S.M. Robinson, Vol 117(2009), 2150.

J.F. Bonnans, A. Hermant:
Secondorder Analysis for Optimal Control Problems with
Pure State Constraints and Mixed ControlState Constraints.
Ann. I.H.P.  Nonlinear Analysis 262 (2009), 561598.

J.F. Bonnans, P. Martinon, J. LaurentVarin and E. Trélat:
Numerical study of optimal trajectories with singular arcs
for an Ariane 5 launcher.
J. Guidance, Control, and Dynamics 32 (2009), 5156.

J.F. Bonnans, D. Tiba:
Control problems with mixed constraints and
application to an optimal investment problem.
Dedicated to Dr. Constantin Varsan on the occasion of his 70th Birthday.
Mathematical Reports (of the Romanian Academy of Sciences)
Vol. 114, 2009, 293306.

F. Alvarez, J. Bolte, J.F. Bonnans and F. J. Silva:
Error estimates for the solution of a control constrained optimal
control problem with interior penalties.
Proc. IFAC Workshop on Control Applications of Optimization,
May 68, 2009, U. Jyvaskyla.

P. Martinon, F. Bonnans, E. Trelat:
A less problem dependent approach for optimal trajectories
with singular arcs: Application to space launchers.
Proc. IFAC Workshop on Control Applications of Optimization,
May 68, 2009, U. Jyvaskyla.
2008 PUBLICATIONS

M. André, J.F. Bonnans:
Fast computation of the leastcore and prenucleolus of cooperative games.
RAIRORO 423(2008), 299314.

J.F. Bonnans, P. Martinon and E. Trélat:
Singular arcs in the generalized Goddard's Problem.
J. Optimization Theory and Applications 139(2008), 439461.
Hal Preprint.

J.F. Bonnans, A. Hermant:
Stability and Sensitivity Analysis for Optimal Control Problems
with a Firstorder State Constraint
and Application to Continuation Methods.
ESAIM:COCV 144 (2008), 825863.

M. Aronna, J.F. Bonnans, P. Lotito:
Continuous time optimal hydrothermal scheduling.
Proc. EngOpt 2008 (Int. Conf. on Engineering Optimization),
Rio de Janeiro, June 15, 2008.