Deterministic Optimal Control papers by
Frédéric Bonnans
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ALGORITHMS FOR OPTIMAL CONTROL PROBLEMS
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M.S. Aronna, J.F. Bonnans, P. Martinon:
A well-posed shooting algorithm for optimal control
problems with singular arcs.
Rapport de Recherche INRIA RR 7763, Oct. 2011.
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With F. Alvarez, J. Bolte and F.J. Silva:
Asymptotic expansions for interior penalty solutions of control constrained linear-quadratic problems.
Rapport de Recherche INRIA RR 6863, 2009.
Mathematical Programming, ``Online First'', (2011).
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With A. Hermant:
Second-order Analysis for Optimal Control Problems with
Pure and Mixed State Constraints.
Annales de l'I.H.P. - Nonlinear Analysis 26-2(2009), 561-598.
Rapport de Recherche INRIA RR-6199.
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With A. Hermant:
Stability and Sensitivity Analysis for Optimal Control Problems
with a First-order State Constraint.
Rapport de Recherche INRIA RR-5889.
ESAIM:COCV 14-4 (2008), 825-863.
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With A. Hermant:
Well-Posedness of the Shooting Algorithm for
State Constrained Optimal Control Problems
with a Single Constraint and Control.
Rapport de Recherche INRIA 5889, 2006.
SIAM. J. Control Optim 46-4 (2007), p. 1398--1430.
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With J. Laurent-Varin:
Computation of order conditions for symplectic partitioned
Runge-Kutta schemes with application to optimal control.
Rapport de Recherche INRIA RR 5398, Décembre 2004.
Numerische Mathematik 103-1(2006), 1--10.
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With N. Bérend, M. Haddou, J. Laurent-Varin, C. Talbot:
Fast Linear Algebra for Multiarc Trajectory Optimization .
In ``Large Scale Nonlinear Optimization'', Proc. Erice Workshop,
Non convex optimization and its applications series,
G. Di Pillo and M. Roma eds, Springer Verlag, 2006, pp. 1--14.
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With H. Zidani and Ph. Chartier:
Discrete approximations
of the Hamilton-Jacobi equation for an optimal control problem of a
differential-algebraic system
.
Control and Cybernetics 32-1(2003), 33-55.
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With Th. Guilbaud:
Using Logarithmic Penalties in the Shooting
Algorithm for Optimal Control Problems.
Optimal Control, Applications and Methods, 24-5 (2003), 257-278.
Preprint.
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On an Algorithm for Optimal Control Using Pontryagin’s Maximum Principle.
SIAM J. Control Optimization 24-3 (1986), 579-588.
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Application d'une nouvelle classe de
lagrangiens augmentés au contrôle optimal de systèmes distribués.
Proc. third IFAC Symposium "Control of distributed parameter systems",
Perpignan, 1982.
OPTIMAL CONTROL THEORY: ODEs
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J.F. Bonnans, X. Dupuis, C. de la Vega:
Second order optimality conditions for state contrained optimal
control problems with distributed delays.
Rapport de Recherche INRIA RR 7961, May 2012.
- M.S. Aronna, J.F. Bonnans, A.V. Dmitruk, P.A. Lotito:
Quadratic order conditions for bang-singular extremals.
Rapport de Recherche INRIA 7664, June 2011.
Numerical Algebra, Control and Optimization,
special issue in the honor of H. Maurer, to appear.
- J.F. Bonnans, N. Osmolovskii:
Characterization of a local quadratic growth of the Hamiltonian
for control constrained optimal control problems.
Rapport de Recherche INRIA 7570, March 2011.
Dynamics of Continuous, Discrete and Impulsive Systems,
special issue dedicated to the memory of Professor Arie Leizarowitz.
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J.F. Bonnans and C. de la Vega:
Optimal control of state constrained integral equations.
Set-Valued Analysis 18-3 (2010), pp. 307-326.
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J.F. Bonnans:
Lipschitz solutions of optimal control problems with state
constraints of arbitrary order.
Rapport de Recherche INRIA RR-7229.
Mathematics and its Applications / Annals of AOSR 2 (2010), 78-98.
Local copy.
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With 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), pp. 85--98.
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With N.P. Osmolovskii:
Second-order analysis of optimal control problems
with control and initial-final state constraints.
Rapport de Recherche INRIA 6707, Oct. 2008.
J. of Convex Analysis proofs.
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With F. Alvarez and J. Laurent-Varin:
Asymptotic expansion of the optimal control under logarithmic penalty:
worked example and open problems.
Rapport de Recherche INRIA RR-6170, 2007.
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With A. Hermant:
No-gap Second-order Optimality Conditions for Optimal Control
Problems with a Single State Constraint and Control.
Rapport de Recherche INRIA 5837, 2006.
Mathematical Programming Series B,
Special issue in the honor of S.M. Robinson, Vol 117(2009), 21-50.