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Galerkin approximations for the optimal control of nonlinear delay differential equations

 Mickaël D Chekroun , Axel Kröner , Honghu Liu
[Research Report] INRIA. 2017
Rapport hal-01534673v1

Semi-smooth Newton methods for optimal control of the dynamical Lamé system with control constraints.

 Axel Kröner
Numerical Functional Analysis and Optimization, 2013
Article dans une revue hal-01383266v1
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State-constrained control-affine parabolic problems II: second order sufficient optimality conditions

 Maria Soledad Aronna , Joseph Frédéric Bonnans , Axel Kröner
SIAM Journal on Control and Optimization, In press, ⟨10.1137/19M1286906⟩
Article dans une revue hal-03011027v1
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Optimal Control of Infinite Dimensional Bilinear Systems: Application to the Heat and Wave Equations

 Maria Soledad Aronna , Joseph Fréderic Bonnans , Axel Kröner
Mathematical Programming, 2018, 168 (1-2), pp.717-757
Article dans une revue hal-01273496v2
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Variational analysis for options with stochastic volatility and multiple factors

 Joseph Frédéric Bonnans , Axel Kröner
SIAM Journal on Financial Mathematics, 2018, 9 (2), pp.465-492
Article dans une revue hal-01516011v3
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Sufficient optimality conditions for bilinear optimal control of the linear damped wave equation

 Franz Bethke , Axel Kröner
[Research Report] Humboldt Universität Berlin. 2018
Rapport hal-01807699v1
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Optimal control of PDEs in a complex space setting; application to the Schrödinger equation

 Maria Soledad Aronna , Joseph Frédéric Bonnans , Axel Kröner
SIAM Journal on Control and Optimization, 2019, 57 (2), pp.1390-1412. ⟨10.1137/17M1117653⟩
Article dans une revue hal-01311421v1
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Remarks on the internal exponential stabilization to a nonstationary solution for 1D Burgers equations

 Axel Kröner , Sergio S. Rodrigues
SIAM Journal on Control and Optimization, 2015, 53 (2), pp.1020-1055
Article dans une revue hal-01089893v1
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Finite element approximation of level set motion by powers of the mean curvature

 Axel Kröner , Eva Kröner , Heiko Kröner
[Research Report] INRIA Saclay. 2015
Rapport hal-01138347v2
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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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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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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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State-constrained control-affine parabolic problems I: First and Second order necessary optimality conditions

 M Soledad Aronna , J. Frederic Bonnans , Axel Kröner
Set-Valued and Variational Analysis, In press
Article dans une revue hal-03011004v1
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Infinite Horizon Stochastic Optimal Control Problems with Running Maximum Cost

 Axel Kröner , Athena Picarelli , Hasnaa Zidani
SIAM Journal on Control and Optimization, 2018, 56 (5), pp.3296-3319. ⟨10.1137/17M115253X⟩
Article dans une revue hal-01585766v3
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Suboptimal feedback control of PDEs by solving HJB equations on adaptive sparse grids

 Jochen Garcke , Axel Kröner
Journal of Scientific Computing, 2017, 70 (1), pp.1-28
Article dans une revue hal-01185912v1
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A semi-Lagrangian scheme for Lp-penalized minimum time problems

 Maurizio Falcone , Dante Kalise , Axel Kröner
21st International Symposium on Mathematical Theory of Networks and Systems, Jul 2014, Groningen, Netherlands
Communication dans un congrès hal-01089877v1
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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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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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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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