OPTIMAL CONTROL OF PDES: papers
by Frédéric Bonnans
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Publication page
(including references for books and applications)
- Other than parabolic or elliptic equations
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J.F. Bonnans:
Optimal control of a semilinear parabolic
equation with singular arcs.
Optimization, Methods and Software 29-5 (2014), 964-978.
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J.F. Bonnans:
Singular arcs in the optimal control of a parabolic equation.
Proc. 13th European Control Conference, Zurich, July 17-19, 2013.
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With P. Jaisson:
Optimal control of a time-dependent state constrained parabolic equation.
Rapport de Recherche INRIA RR 6784, Dec. 2008.
SIAM J. Control Optim. 48-7 (2010), pp. 4550-4571.
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With D. Tiba:
Control problems with mixed constraints and
application to an optimal investment problem.
Mathematical Reports (Romanian Academy of Sciences)
Vol. 11 (61), no.4 (2009), 293--306.
Inria report.
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With 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. 11-4, 2009, 293-306.
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With E. Casas:
On the choice of the function spaces for some state-constrained
control problems .
Numerical Functional
Analysis and Optimization 7-4 (1984), 333-348.
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Analysis and control of a non-linear parabolic unstable system.
J. of Large Scale Systems 6-3(1984), 249-262.
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T. Bayen, J.F. Bonnans, F. Silva:
Characterization of local quadratic growth for strong minima in the optimal control of semi-linear elliptic equations.
Trans. Amer. Math. Soc. 366-4 (2014), 2063--2087.
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J.F. Bonnans, F. Silva:
Asymptotic expansions for the solution of a penalized
control constrained semilinear elliptic problem.
Asymptotic Expansion for the Solutions of Control Constrained Semilinear Elliptic Problems with Interior Penalties.
SIAM J. Control Optim. 49 (2011), pp. 2494-2517.
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With H. Zidani:
Optimal control problems with partially polyhedric constraints.
SIAM J. Control Optimization 37 (1999), 1726--1741.
Preprint
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Second order analysis for control constrained optimal control problems
of semilinear elliptic systems.
Applied Math. Optimization (1998), 38-3, 303-325.
Preprint
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With E. Casas:
An extension of Pontryagin's
principle for state-constrained optimal control of semilinear elliptic
equations and variational inequalities.
SIAM J. Control Optimization 33-1(1995), 274-298.
Pdf Preprint.
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With E. Casas:
A boundary Pontryagin's principle for the optimal control of state
constrained elliptic systems
Proc. French-Romanian Conference on Optimization, Optimal Control and
Partial Differential Equations, Int. Ser. Num. Math. 107, V. Barbu, J.F.
Bonnans and D. Tiba eds., Birkhauser, 241-249.
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With E. Casas: Pdf Preprint.
An extension of Pontryagin's
principle for state-constrained optimal control of semilinear elliptic
equations and variational inequalities.
SIAM J. Control Optimization 33-1(1995), 274-298.
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With E. Casas:
Some stability concepts and their applications in optimal control problems.
IMA Preprint 1081 (1992).
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With D. Tiba:
Pontryagin's principle in the
control of semilinear elliptic variational inequalities.
Applied Mathematics and Optimization 23-3(1991), 299-312.
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Pontryagin's principle for the optimal
control of semilinear elliptic systems with state constraints.
30th IEEE Conference on Decision and Control, Vol. 2(1991), 1976-1979, Brighton,
England.
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With E. Casas:
Optimal Control of Semilinear Multistate Systems with State Constraints.
SIAM J. Control Optimization 27-2 (1989), 446-455.
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With E. Casas:
Controle de systemes
elliptiques semilinéaires
comportant des contraintes sur l'état .
In "Nonlinear partial differential equations and their applications, Collège
de France seminar vol. VIII", H. Brézis and J.L. Lions eds., Pitman Research
Notes in Mathematics Series 166, Longman Scientific and Technical, New York,
1988, p. 69-86.