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Second-order analysis of optimal control problems with control and initial-final state constraints

J. Frederic Bonnans , Nikolai P. Osmolovskii
Journal of Convex Analysis, 2010, 17 (3), pp.885-913
Article dans une revue inria-00335869v1
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A Shooting Algorithm for Optimal Control Problems with Singular Arcs

Maria Soledad Aronna , J. Frederic Bonnans , Pierre Martinon
Journal of Optimization Theory and Applications, 2013, 158 (2), pp.419-459. ⟨10.1007/s10957-012-0254-8⟩
Article dans une revue inria-00631332v2
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Asymptotic expansions for interior solutions of semilinear elliptic problems

J. Frederic Bonnans , Francisco J. Silva
SIAM Journal on Control and Optimization, 2011, 49 (6), pp.2494-2517
Article dans une revue inria-00436768v1
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Monotonicity condition for the $\theta$-scheme for diffusion equations

J. Frederic Bonnans , Xiaolu Tan
[Research Report] RR-7778, INRIA. 2011, pp.6
Rapport inria-00634417v1
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Optimal control of a semilinear parabolic equation with singular arcs

Joseph Frederic Bonnans
Optimization Methods and Software, 2014, 29 (2), pp.964-978. ⟨10.1080/10556788.2013.830220⟩
Article dans une revue hal-00740698v2
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Using switching detection and variational equations for the shooting method

Pierre Martinon , Joseph Gergaud
Optimal Control Applications and Methods, 2007, 28 (2), pp.95-116
Article dans une revue inria-00271155v1
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Zubov's equation for state-constrained perturbed nonlinear systems

Lars Grüne , Hasnaa Zidani
Mathematical Control and Related Fields, 2015, 5 (1), pp.55-71. ⟨10.3934/mcrf.2015.5.55⟩
Article dans une revue hal-00931028v1
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Optimization of running strategies based on anaerobic energy and variations of velocity

Amandine Aftalion , J. Frederic Bonnans
SIAM Journal on Applied Mathematics, 2014, 74 (5), pp.1615-1636
Article dans une revue hal-00851182v5
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A minimum effort optimal control problem for the wave equation.

Axel Kröner , Karl Kunisch
Computational Optimization and Applications, 2014, 57 (1), pp.241-270
Article dans une revue hal-01089336v2
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Galerkin approximations of nonlinear optimal control problems in Hilbert spaces

Mickaël D. Chekroun , Axel Kröner , Honghu Liu
Electronic Journal of Differential Equations, 2017, 2017 (189), pp.1-40
Article dans une revue hal-01501178v1
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Error estimates for the Euler discretization of an optimal control problem with first-order state constraints

Joseph Frederic Bonnans , Adriano Festa
SIAM Journal on Numerical Analysis, 2017, 55 (2), pp.445--471
Article dans une revue hal-01093229v2
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Multi-task Bolasso based aircraft dynamics identification

Cédric Rommel , Joseph Frédéric Bonnans , Baptiste Gregorutti , Pierre Martinon
PGMODays, Nov 2017, Paris, France
Communication dans un congrès hal-01643177v1
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Mathematical contributions for the optimization and regulation of electricity production

Benjamin Heymann
Mathematics [math]. Université Paris Saclay, 2016. English. ⟨NNT : 2016SACLX052⟩
Thèse tel-01416404v1
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Internal exponential stabilization to a nonstationary solution for 1D Burgers equations with piecewise constant controls

Axel Kröner , Sergio S. Rodrigues
Control Conference (ECC), 2015 European, Jul 2015, Linz, Austria. pp.2676-2681, ⟨10.1109/ECC.2015.7330942⟩
Communication dans un congrès hal-01089896v1
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Characterization of the value function of final state constrained control problems with BV trajectories

Ariela Briani , Hasnaa Zidani
Communications on Pure and Applied Mathematics, 2011, 10 (6), pp.1567-1587. ⟨10.3934/cpaa.2011.10.1567⟩
Article dans une revue inria-00627518v1
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A discontinuous Galerkin solver for front propagation

Olivier Bokanowski , Yingda Cheng , Chi-Wang Shu
SIAM Journal on Scientific Computing, 2011, 33 (2), pp.923-938
Article dans une revue hal-00653471v1
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Existence of solutions for a model describing the dynamics of junctions between dislocations

Nicolas Forcadel , Régis Monneau
SIAM Journal on Mathematical Analysis, 2009, 40 (6), pp. 2517-2535. ⟨10.1137/070710925⟩
Article dans une revue hal-00197576v1

Quadratic growth conditions in optimal control problems

Joseph Frederic Bonnans , Nikolai P. Osmolovskii
Contemporary mathematics, 2010, Nonlinear Analysis and Optimization II: Optimization, 514, pp.85--98
Article dans une revue hal-00773349v1
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Sensitivity analysis for relaxed optimal control problems with final-state constraints

Joseph Frederic Bonnans , Laurent Pfeiffer , Oana Silvia Serea
Nonlinear Analysis: Theory, Methods and Applications, 2013, 89, pp.55-80. ⟨10.1016/j.na.2013.04.013⟩
Article dans une revue hal-00702246v2

Revisiting the Analysis of Optimal Control Problems with Several State Constraints

Joseph Frederic Bonnans , Audrey Hermant
Control and Cybernetics, 2009, 38 (4), pp.1021--1052
Article dans une revue hal-00778363v1
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Asymptotic expansions for interior penalty solutions of control constrained linear-quadratic problems

Felipe Alvarez , Jérôme Bolte , J. Frederic Bonnans , Francisco Silva
Mathematical Programming, Series A, 2012, 135 (1-2), pp.473-507
Article dans une revue inria-00365540v1
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Reduced-order minimum time control of advection-reaction-diffusion systems via dynamic programming.

Dante Kalise , Axel Kröner
21st International Symposium on Mathematical Theory of Networks and Systems, Jul 2014, Groningen, Netherlands. pp.1196-1202
Communication dans un congrès hal-01089887v1
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Singular solutions in optimal control: second order conditions and a shooting algorithm

Maria Soledad Aronna
[Research Report] RR-7764, INRIA. 2011, pp.33
Rapport inria-00631564v2
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Optimal feedback control of undamped wave equations by solving a HJB equation

Axel Kröner , Karl Kunisch , Hasnaa Zidani
ESAIM: Control, Optimisation and Calculus of Variations, 2014, 21 (2), pp.442 - 464. ⟨10.1051/cocv/2014033⟩
Article dans une revue hal-00924089v1
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Legendre Transform and Applications to Finite and Infinite Optimization

Cristopher Hermosilla
Set-Valued and Variational Analysis, 2016, ⟨10.1007/s11228-016-0368-5⟩
Article dans une revue hal-01055917v2
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Hamilton-Jacobi-Bellman approach for optimal control problems with discontinuous coefficients

Zhiping Rao
Optimization and Control [math.OC]. Ecole Polytechnique X, 2013. English. ⟨NNT : ⟩
Thèse pastel-00927358v1
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Reachability of Delayed Hybrid Systems Using Level-set Methods

Giovanni Granato
3rd International Conference on Engineering Optimization, Jul 2012, Rio de Janeiro, Brazil
Communication dans un congrès hal-00735660v1
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Geometric and numerical methods in the contrast imaging problem in nuclear magnetic resonance

Bernard Bonnard , Mathieu Claeys , Olivier Cots , Pierre Martinon
Acta Applicandae Mathematicae, 2015, 135 (1), pp.5-45. ⟨10.1007/s10440-014-9947-3⟩
Article dans une revue hal-00867753v2
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Local minimization algorithms for dynamic programming equations

Dante Kalise , Axel Kröner , Karl Kunisch
SIAM Journal on Scientific Computing, 2016, 38 (3)
Article dans une revue hal-01120450v1
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On the Design of Optimal Health Insurance Contracts under Ex Post Moral Hazard

Pierre Martinon , Pierre Picard , Anasuya Raj
Geneva Risk and Insurance Review, 2018, 43 (2), pp.137-185. ⟨10.1057/s10713-018-0034-y⟩
Article dans une revue hal-01348551v3