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Publications results for "Items authored by or related to Bonnans, Joseph Frédéric "
MR2683898 Bonnans, J. Frédéric; Jaisson, Pascal Optimal control of a parabolic equation with time-dependent state constraints. SIAM J. Control Optim. 48 (2010), no. 7, 4550–4571, 49J20 (35K05 49K40)
MR2661665 Bonnans, J. Frédéric Lipschitz solutions of optimal control problems with state constraints of arbitrary order. Ann. Acad. Rom. Sci. Ser. Math. Appl. 2 (2010), no. 1, 78–98, 49N60 (49J15)
MR2642915 (2011b:90072) Bonnans, J. Frédéric; Lebelle, Marc Explicit polyhedral approximation of the Euclidean ball. RAIRO Oper. Res. 44 (2010), no. 1, 45–59. (Reviewer: S. Kutateladze), 90C05 (90C10)
MR2656166 Bonnans, J. F.; Tiba, D. Control problems with mixed constraints and application to an optimal investment problem. Math. Rep. (Bucur.) 11(61) (2009), no. 4, 293–306. (Reviewer: Gerhard Sorger), 49K20 (91G80)
MR2509437 Andre, Jean; Bonnans, Frédéric; Cornibert, Laurent Optimization of capacity expansion planning for gas transportation networks. European J. Oper. Res. 197 (2009), no. 3, 1019–1027, 90B10 (90C10)
MR2504044 (2010c:49050) Bonnans, J. Frédéric; Hermant, Audrey Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints. Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009), no. 2, 561–598. (Reviewer: Olga Ivanovna Kostyukova), 49K40 (49K15 93C15)
MR2421298 (2009f:49023) Frédéric Bonnans, J.; Hermant, Audrey No-gap second-order optimality conditions for optimal control problems with a single state constraint and control. Math. Program. 117 (2009), no. 1-2, Ser. B, 21–50. (Reviewer: Nikolai B. Melʹnikov), 49K15 (34H05)
MR2448740 (2009m:70050) Bonnans, F.; Martinon, P.; Trélat, E. Singular arcs in the generalized Goddard's problem. J. Optim. Theory Appl. 139 (2008), no. 2, 439–461. (Reviewer: Josep J. Masdemont), 70P05 (49K15 49N90 70M20 70Q05)
MR2451799 (2009k:49059) Bonnans, Joseph Frédéric; Hermant, Audrey Stability and sensitivity analysis for optimal control problems with a first-order state constraint and application to continuation methods. ESAIM Control Optim. Calc. Var. 14 (2008), no. 4, 825–863. (Reviewer: M. Margarida Amorim Ferreira), 49K40 (49N60 65K10 93B35)
MR2346386 (2009b:49082) Bonnans, J. Frédéric; Hermant, Audrey Well-posedness of the shooting algorithm for state constrained optimal control problems with a single constraint and control. SIAM J. Control Optim. 46 (2007), no. 4, 1398–1430 (electronic). (Reviewer: Mikhail I. Sumin), 49M05 (49K40)
MR2267189 (2007e:49033) Bonnans, J. Frédéric; Hermant, Audrey Conditions d'optimalité du second ordre nécessaires ou suffisantes pour les problèmes de commande optimale avec une contrainte sur l'état et une commande scalaires. (French) [No-gap second-order optimality conditions for optimal control problems with a single state constraint and control] C. R. Math. Acad. Sci. Paris 343 (2006), no. 7, 473–478, 49K15
MR2265882 (2007e:90001) Bonnans, J. Frédéric; Gilbert, J. Charles; Lemaréchal, Claude; Sagastizábal, Claudia A. Numerical optimization. Theoretical and practical aspects. Second edition. Universitext. Springer-Verlag, Berlin, 2006. xiv+490 pp. ISBN: 3-540-35445-X, 90-01 (65Kxx 90C30)
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MR2207612 (2006k:49083) Bonnans, J. Frédéric; Laurent-Varin, Julien Computation of order conditions for symplectic partitioned Runge-Kutta schemes with application to optimal control. Numer. Math. 103 (2006), no. 1, 1–10. (Reviewer: Bülent Karasözen), 49M25 (65L06)
MR2194563 (2006h:49053) Bérend, Nicolas; Frédéric Bonnans, J.; Laurent-Varin, Julien; Haddou, Mounir; Talbot, Christophe Fast linear algebra for multiarc trajectory optimization. Large-scale nonlinear optimization, 1–14, Nonconvex Optim. Appl., 83, Springer, New York, 2006. (Reviewer: Ernest Scheiber), 49M25 (65F20)
MR2193976 (2007e:65007) Bonnans, J. Frédéric; Maroso, Stefania; Zidani, Housnaa Error estimates for stochastic differential games: the adverse stopping case. IMA J. Numer. Anal. 26 (2006), no. 1, 188–212. (Reviewer: Andreas Rößler), 65C30 (49M25 60G40)
MR2179235 (2006e:90124) Bonnans, J. Frédéric; Ramírez C., Héctor Perturbation analysis of second-order cone programming problems. Math. Program. 104 (2005), no. 2-3, Ser. B, 205–227. (Reviewer: Romesh Saigal), 90C31 (90C08)
MR2087732 (2005e:93165) Bonnans, J. Frédéric; Ottenwaelter, Élisabeth; Zidani, Housnaa A fast algorithm for the two dimensional HJB equation of stochastic control. M2AN Math. Model. Numer. Anal. 38 (2004), no. 4, 723–735. (Reviewer: Espen Robstad Jakobsen), 93E20 (49L25 65M06)
MR2013047 (2004g:49056) Bonnans, J. F.; Guilbaud, Th. Using logarithmic penalties in the shooting algorithm for optimal control problems. Optimal Control Appl. Methods 24 (2003), no. 5, 257–278. (Reviewer: Wen Bin Liu), 49M30 (49J15)
MR2005192 (2004i:49061) Bonnans, J. Frédéric; Zidani, Housnaa Consistency of generalized finite difference schemes for the stochastic HJB equation. SIAM J. Numer. Anal. 41 (2003), no. 3, 1008–1021 (electronic). (Reviewer: Min Sun), 49M25 (49L25 65N06 93E20)
MR1958119 (2003m:90002) Bonnans, J. Frédéric; Gilbert, J. Charles; Lemaréchal, Claude; Sagastizábal, Claudia A. Numerical optimization. Theoretical and practical aspects. Translated and revised from the 1997 French original. Universitext. Springer-Verlag, Berlin, 2003. xiv+419 pp. ISBN: 3-540-00191-3, 90-01 (65Kxx 90C30)
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MR2010019 (2004m:49004) Bonnans, Frederic Numerical methods for the optimal control of ordinary differential equations. Paper from the 5th International Seminar on Optimization and Affine Areas held October 1–5, 2001. Monografías del Instituto de Matemática y Ciencias Afines [Monographs of the Institute of Mathematics and Related Sciences], 22. Instituto de Matemática y Ciencias Afines, IMCA, Lima; Pontificia Universidad Católica del Perú, Lima, 2001. iv+60 pp. ISBN: 9972-753-87-5 (Reviewer: Mikhail I. Sumin), 49-02 (49Mxx 65-02 65Lxx)
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MR1855174 (2002f:90011) Bonnans, J. Frédéric; Haddou, Mounir Asymptotic analysis of congested communication networks. Math. Oper. Res. 25 (2000), no. 3, 409–426. (Reviewer: Sudhangshu B. Karmakar), 90B18 (65K05 90C25)
MR1761296 (2001i:94087) Bonnans, J. Frédéric Mathematical study of very high voltage power networks. III. The optimal AC power flow problem. Comput. Optim. Appl. 16 (2000), no. 1, 83–101, 94C05 (49N90 90C90 94A05)
MR1756264 (2001g:90003) Bonnans, J. Frédéric; Shapiro, Alexander Perturbation analysis of optimization problems. Springer Series in Operations Research. Springer-Verlag, New York, 2000. xviii+601 pp. ISBN: 0-387-98705-3 (Reviewer: T. Zolezzi), 90-02 (49-02 49K40 90C31)
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MR1777457 (2001d:90124) Bonnans, J. Frédéric; Pola, Cecilia; Rébai, Raja Perturbed path following predictor-corrector interior point algorithms. Interior point methods. Optim. Methods Softw. 11/12 (1999), no. 1-4, 183–210, 90C51 (90C20)
MR1720134 (2000j:49039) Bonnans, J. Frédéric; Zidani, Housnaa Optimal control problems with partially polyhedric constraints. SIAM J. Control Optim. 37 (1999), no. 6, 1726–1741 (electronic). (Reviewer: Zsolt Páles), 49K40 (35B37 35J60 49K20 90C31)
MR1686803 (2000d:90107) Bonnans, J. Frédéric; Cominetti, Roberto; Shapiro, Alexander Second order optimality conditions based on parabolic second order tangent sets. SIAM J. Optim. 9 (1999), no. 2, 466–492. (Reviewer: Hubertus Th. Jongen), 90C46 (49J52)
MR1662414 (99g:90139) Bonnans, J. Frédéric; Cominetti, Roberto; Shapiro, Alexander Sensitivity analysis of optimization problems under second order regular constraints. Math. Oper. Res. 23 (1998), no. 4, 806–831. (Reviewer: Adam B. Levy), 90C31
MR1646703 (99g:49027) Bonnans, J. F. Second-order analysis for control constrained optimal control problems of semilinear elliptic systems. Appl. Math. Optim. 38 (1998), no. 3, 303–325. (Reviewer: Fredi Tröltzsch), 49K40 (35J45 35J60 49K20)
MR1641262 (2000c:90091) Bonnans, J. Frédéric; Shapiro, Alexander Nondegeneracy and quantitative stability of parameterized optimization problems with multiple solutions. SIAM J. Optim. 8 (1998), no. 4, 940–946. (Reviewer: D. Klatte), 90C31
MR1637861 (99g:94025) Bonnans, J. Frédéric Mathematical study of very high voltage power networks. II. The AC power flow problem. SIAM J. Appl. Math. 58 (1998), no. 5, 1547–1567 (electronic), 94C05 (78A55 90B12 90C90)
MR1624098 (99i:90095) Bonnans, J. Frédéric; Shapiro, Alexander Optimization problems with perturbations: a guided tour. SIAM Rev. 40 (1998), no. 2, 228–264. (Reviewer: D. Klatte), 90C31 (49K40 90-02)
MR1472264 (98i:90087) Bonnans, J. F. Extended quadratic tangent optimization problems. Mathematical programming with data perturbations, 31–45, Lecture Notes in Pure and Appl. Math., 195, Dekker, New York, 1998. (Reviewer: Alexander Shapiro), 90C30 (90C31)
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MR1613833 (99f:90001) Bonnans, J. Frédéric; Gilbert, Jean Charles; Lemaréchal, Claude; Sagastizábal, Claudia Optimisation numérique. (French) [Numerical optimization] Aspects théoriques et pratiques. [Theoretical and applied aspects] Mathématiques & Applications (Berlin) [Mathematics & Applications], 27. Springer-Verlag, Berlin, 1997. xii+324 pp. ISBN: 3-540-63183-6 (Reviewer: Marlies Borchardt), 90-01 (49M37 65-01 65K05 90C30)
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MR1479610 (98j:94038) Bonnans, J. Frédéric Mathematical study of very high voltage power networks. I. The optimal DC power flow problem. SIAM J. Optim. 7 (1997), no. 4, 979–990, 94C05 (90C31 94C10)
MR1462063 (98e:90148) Bonnans, J. Frédéric; Pola, Cecilia A trust region interior point algorithm for linearly constrained optimization. SIAM J. Optim. 7 (1997), no. 3, 717–731. (Reviewer: Robert W. Owens), 90C30 (65K05)
MR1450797 (98e:90191) Bonnans, J. Frédéric; Potra, Florian A. On the convergence of the iteration sequence of infeasible path following algorithms for linear complementarity problems. Math. Oper. Res. 22 (1997), no. 2, 378–407. (Reviewer: Shu Zhong Zhang), 90C33 (90C20)
MR1426399 (97k:90088) Gonzaga, Clovis C.; Bonnans, J. Frédéric Fast convergence of the simplified largest step path following algorithm. Interior point methods in theory and practice (Iowa City, IA, 1994). Math. Programming 76 (1997), no. 1, Ser. B, 95–115. (Reviewer: S.-C. Fang), 90C33 (90C05)
MR1413481 (98c:90129) Bonnans, J. Frédéric Exact penalization with a small nonsmooth term. Rev. Mat. Apl. 17 (1996), no. 2, 37–45. (Reviewer: Jan Rückmann), 90C30 (49M30 90C31)
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MR1404846 (97h:49034) Bonnans, J. Frédéric; Cominetti, Roberto Perturbed optimization in Banach spaces. III. Semi-infinite optimization. SIAM J. Control Optim. 34 (1996), no. 5, 1555–1567. (Reviewer: Constantin Zălinescu), 49K40 (90C31 90C34)
MR1395829 (97d:49026) Bonnans, J. Frédéric; Cominetti, Roberto Perturbed optimization in Banach spaces. II. A theory based on a strong directional constraint qualification. SIAM J. Control Optim. 34 (1996), no. 4, 1172–1189. (Reviewer: Constantin Zălinescu), 49K40 (46N10 90C31)
MR1395828 (97d:49025) Bonnans, J. Frédéric; Cominetti, Roberto Perturbed optimization in Banach spaces. I. A general theory based on a weak directional constraint qualification. SIAM J. Control Optim. 34 (1996), no. 4, 1151–1171. (Reviewer: Constantin Zălinescu), 49K40 (46N10 90C31)
MR1385864 (97a:90091) Bonnans, J. Frédéric; Gonzaga, Clovis C. Convergence of interior point algorithms for the monotone linear complementarity problem. Math. Oper. Res. 21 (1996), no. 1, 1–25. (Reviewer: Florian Jarre), 90C33 (65K05 90C05)
MR1378107 (97f:90094) Bonnans, Joseph Frédéric; Ioffe, Alexander Second-order sufficiency and quadratic growth for nonisolated minima. Math. Oper. Res. 20 (1995), no. 4, 801–817. (Reviewer: D. Klatte), 90C31 (49J52 49K40 49M37)
MR1363359 (97f:90093) Bonnans, J. Frédéric; Ioffe, Alexander D. Quadratic growth and stability in convex programming problems with multiple solutions. J. Convex Anal. 2 (1995), no. 1-2, 41–57. (Reviewer: D. Klatte), 90C31 (49J52 90C25)
MR1361323 (97c:90119) Bonnans, Joseph Frédéric; Sulem, Agnès Pseudopower expansion of solutions of generalized equations and constrained optimization problems. Math. Programming 70 (1995), no. 2, Ser. A, 123–148. (Reviewer: D. Klatte), 90C31 (49K40 49M37)
MR1358805 (96i:90052) Bonnans, J. F.; Launay, G. Sequential quadratic programming with penalization of the displacement. SIAM J. Optim. 5 (1995), no. 4, 792–812. (Reviewer: K. Schittkowski), 90C30 (65K05)
MR1337889 (96f:90078) Bonnans, J. F.; Bouhtou, M. The trust region affine interior point algorithm for convex and nonconvex quadratic programming. RAIRO Rech. Opér. 29 (1995), no. 2, 195–217. (Reviewer: Romesh Saigal), 90C25 (90C26)
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MR1311670 (96c:49036) Bonnans, Frédéric; Casas, Eduardo An extension of Pontryagin's principle for state-constrained optimal control of semilinear elliptic equations and variational inequalities. SIAM J. Control Optim. 33 (1995), no. 1, 274–298. (Reviewer: Guenter Leugering), 49K20 (35J60 35J85)
MR1254058 (94k:90092) Bonnans, J. Frédéric Local analysis of Newton-type methods for variational inequalities and nonlinear programming. Appl. Math. Optim. 29 (1994), no. 2, 161–186, 90C30 (65K05)
MR1229727 (94g:90129) Bonnans, J. Frédéric; Ioffe, Alexander D.; Shapiro, Alexander Expansion of exact and approximate solutions in nonlinear programming. Advances in optimization (Lambrecht, 1991), 103–117, Lecture Notes in Econom. and Math. Systems, 382, Springer, Berlin, 1992. (Reviewer: Hans Benker), 90C31 (65K05)
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MR1223374 (94d:49033) Bonnans, J. Frédéric; Casas, Eduardo A boundary Pontryagin's principle for the optimal control of state-constrained elliptic systems. Optimization, optimal control and partial differential equations (Iaşi, 1992), 241–249, Internat. Ser. Numer. Math., 107, Birkhäuser, Basel, 1992. (Reviewer: Karsten Eppler), 49K20 (35B37)
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MR1223352 (93m:00044) Optimization, optimal control and partial differential equations. Papers from the First Franco-Romanian Conference held in Iaşi, September 7–11, 1992. Edited by V. Barbu, J. F. Bonnans and D. Tiba. International Series of Numerical Mathematics, 107. Birkhäuser Verlag, Basel, 1992. xiv+349 pp. ISBN: 3-7643-2788-X, 00B25 (05-06 49-06 90-06 93-06)
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MR1197221 Bonnans, J. Frédéric; Ioffe, Alexander D.; Shapiro, Alexander Développement de solutions exactes et approchées en programmation non linéaire. (French) [Expansion of exact and approximate solutions in nonlinear programming] C. R. Acad. Sci. Paris Sér. I Math. 315 (1992), no. 2, 119–123, 90C30 (49N15)
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MR1185630 (93m:90086) Shapiro, A.; Bonnans, J. F. Sensitivity analysis of parametrized programs under cone constraints. SIAM J. Control Optim. 30 (1992), no. 6, 1409–1422. (Reviewer: D. Klatte), 90C31 (49K40)
MR1173193 (93i:90087) Bonnans, J. Frédéric; Panier, Eliane R.; Tits, André L.; Zhou, Jian L. Avoiding the Maratos effect by means of a nonmonotone line search. II. Inequality constrained problems—feasible iterates. SIAM J. Numer. Anal. 29 (1992), no. 4, 1187–1202. (Reviewer: John J. Dinkel), 90C30 (65K10)
MR1152233 (93c:90088) Bonnans, J. F. Directional derivatives of optimal solutions in smooth nonlinear programming. J. Optim. Theory Appl. 73 (1992), no. 1, 27–45. (Reviewer: Jan Rückmann), 90C31 (49J52)
MR1202470 Bonnans, Frédéric The Pontryagin principle for the control of elliptic systems with state constraints. (Spanish) Proceedings of the XII Congress on Differential Equations and Applications/II Congress on Applied Mathematics (Spanish) (Oviedo, 1991), 297–300, Univ. Oviedo, Oviedo, 1991, 49K20 (35J65)
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MR1202436 (93j:90109) Bonnans, J. F. A review of some recent results in the perturbation theory of nonlinear programs. Proceedings of the XII Congress on Differential Equations and Applications/II Congress on Applied Mathematics (Spanish) (Oviedo, 1991), 3–19, Univ. Oviedo, Oviedo, 1991, 90C31 (49K40 65K05)
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MR1157165 Bonnans, J. F.; Tiba, D. Optimality conditions in the control of semilinear elliptic variational inequalities. Differential equations and control theory (Iaşi, 1990), 38–43, Pitman Res. Notes Math. Ser., 250, Longman Sci. Tech., Harlow, 1991, 49K20 (49J40)
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MR1124771 (92f:90067) Bonnans, J. F.; Launay, G. On the stability of sets defined by a finite number of equalities and inequalities. J. Optim. Theory Appl. 70 (1991), no. 3, 417–428. (Reviewer: Asen L. Dontchev), 90C31 (49K40)
MR1118947 (92e:90114) Blanchon, G.; Bonnans, J. F.; Dodu, J.-C. Application d'une méthode de programmation quadratique successive à l'optimisation des puissances dans les réseaux électriques de grande taille. (French) [Application of a recursive quadratic programming method to optimal power flows in large-scale electric power systems] EDF Bull. Direction Études Rech. Sér. C Math. Inform. 1991, no. 2, iii, 67–101, 90C90 (49N55 90C30 93C95)
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MR1101241 (92d:49035) Bonnans, Joseph Frédéric; Casas, Eduardo Un principe de Pontryagine pour le contrôle des systémes semilinéaires elliptiques. (French) [A Pontryagin principle for the control of semilinear elliptic systems] J. Differential Equations 90 (1991), no. 2, 288–303. (Reviewer: Elvira Mascolo), 49K20 (35B37 35J60)
MR1095664 (92a:49013) Bonnans, J. F.; Tiba, D. Pontryagin's principle in the control of semilinear elliptic variational inequalities. Appl. Math. Optim. 23 (1991), no. 3, 299–312. (Reviewer: Bernhard Kawohl), 49J40 (49K20)
MR1108871 (92f:49009) Bonnans, J. Frédéric The Pontryagin principle for the control of elliptic systems with state constraints: the penalty method. (Spanish) Spanish-French Conference on Distributed-Systems Control (Spanish) (Málaga, 1990), 13–19, Univ. Málaga, Málaga, 1990. (Reviewer: Pierre Bernhard), 49K20 (35J20 35J85 49M30 93C20)
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MR1070756 Blanchon, G.; Dodu, J.-C.; Bonnans, J. F. Optimisation des réseaux électriques de grande taille. (French) [Optimization of large electrical networks] Analysis and optimization of systems (Antibes, 1990), 423–431, Lecture Notes in Control and Inform. Sci., 144, Springer, Berlin, 1990, 90C20
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MR1060912 (91j:90087) Bonnans, J. F. On the stability of solutions in nonlinear programming. Optimization 21 (1990), no. 3, 365–370. (Reviewer: Phan Quốc Khánh), 90C31 (65K05)
MR1052147 (91i:90055) Bonnans, Joseph Frédéric Théorie de la pénalisation exacte. (French) [The theory of exact penalty] RAIRO Modél. Math. Anal. Numér. 24 (1990), no. 2, 197–210. (Reviewer: A. G. Azpeitia), 90C30 (49M30)
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MR1036541 (91g:90142) Bonnans, J. F. Local study of Newton type algorithms for constrained problems. Optimization (Varetz, 1988), 13–24, Lecture Notes in Math., 1405, Springer, Berlin, 1989, 90C30 (65K05)
MR1001163 (90f:90115) Bonnans, Joseph Frédéric An introduction to Newton type algorithms for nonlinearly constrained optimization problems. New methods in optimization and their industrial uses (Pau/Paris, 1987), 1–17, Internat. Schriftenreihe Numer. Math., 87, Birkhäuser, Basel, 1989. (Reviewer: K. Schittkowski), 90C30 (65K05)
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MR0993290 (91b:90174) Bonnans, Joseph Frédéric Asymptotic admissibility of the unit stepsize in exact penalty methods. SIAM J. Control Optim. 27 (1989), no. 3, 631–641. (Reviewer: A. Zilinskas (Zbl 678:90068)), 90C30 (49M30 65K05)
MR0987968 Bonnans, J. Frédéric; Casas, E. Optimal control of state-constrained unstable systems of elliptic type. Control of partial differential equations (Santiago de Compostela, 1987), 84–91, Lecture Notes in Control and Inform. Sci., 114, Springer, Berlin, 1989, 49B27
MR0984837 (90f:49022) Bonnans, Joseph Frédéric; Casas, Eduardo Optimal control of semilinear multistate systems with state constraints. SIAM J. Control Optim. 27 (1989), no. 2, 446–455. (Reviewer: Piermarco Cannarsa), 49B22 (49A22 93C20)
MR0981941 (90d:90070) Bonnans, J. F. A semistrong sufficiency condition for optimality in nonconvex programming and its connection to the perturbation problem. J. Optim. Theory Appl. 60 (1989), no. 1, 7–18. (Reviewer: Rabindra Nath Sen), 90C30
MR0946484 (89d:49022) Bonnans, J. F.; Casas, E. Contrôle de systèmes elliptiques semilinéaires comportant des contraintes sur l'état. (French) [Control of semilinear elliptic systems with state constraints] Nonlinear partial differential equations and their applications. Collège de France seminar, Vol. VIII (Paris, 1984–1985), 69–86, Pitman Res. Notes Math. Ser., 166, Longman Sci. Tech., Harlow, 1988. (Reviewer: Françoise Berquier), 49B22 (35J60 93C20)
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MR0942448 Bonnans, J. F.; Gaudrat, V.; Saguez, C. A domain control approach to state-constrained control problems. Boundary control and boundary variations (Nice, 1986), 72–90, Lecture Notes in Comput. Sci., 100, Springer, Berlin, 1988, 49B10
MR0910513 (88m:49003) Bonnans, J. F.; Tiba, D. Equivalent control problems and applications. Control problems for systems described by partial differential equations and applications (Gainesville, Fla., 1986), 154–161, Lecture Notes in Control and Inform. Sci., 97, Springer, Berlin, 1987. (Reviewer: Igor Bock), 49A29 (49A22 49A27)
MR0893695 (88g:49022) Bonnans, J. F.; Casas, E. Quelques méthodes pour le contrôle optimal de problèmes comportant des contraintes sur l'état. (French) [Some optimal control methods for problems with state constraints] An. Ştiinţ. Univ. Al. I. Cuza Iaşi Secţ. I a Mat. 32 (1986), no. 3, 57–62. (Reviewer: Martin Brokate), 49B22 (35K05 49A22)
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MR0838058 (87f:49040) Bonnans, Joseph Frédéric On an algorithm for optimal control using Pontryagin's maximum principle. SIAM J. Control Optim. 24 (1986), no. 3, 579–588. (Reviewer: Asen L. Dontchev), 49D07
MR0793744 (86h:49044) Bonnans, J. F.; Casas, E.; Lobo, M. A singular perturbation problem in optimal control. (Spanish) Proceedings of the seventh congress on differential equations and applications (Granada, 1984), 43–48, Univ. Granada, Granada, 1985, 49E25 (35B25 49A22)
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MR0876712 (87k:90214) Bonnans, Joseph Frédéric; Gabay, Daniel Une extension de la programmation quadratique successive. (French) [An extension of sequential quadratic programming] Analysis and optimization of systems, Part 2 (Nice, 1984), 16–31, Lecture Notes in Control and Inform. Sci., 63, Springer, Berlin, 1984, 90C30 (49D40 90C20)
MR0802814 (86j:90126) Bonnans, Joseph Frédéric; Gabay, Daniel Une extension de la programmation quadratique successive. (French) [An extension of successive quadratic programming] Numerical solutions of nonlinear problems (Rocquencourt, 1983), 191–210, INRIA, Rocquencourt, 1984, 90C30
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MR0790666 (86h:49034) Bonnans, J. F.; Casas, E. On the choice of the function spaces for some state-constrained control problems. Numer. Funct. Anal. Optim. 7 (1984/85), no. 4, 333–348. (Reviewer: William D. Collins), 49B36 (49B22)
MR0780682 (86e:49045) Bonnans, Joseph Frédéric Analysis and control of a nonlinear parabolic unstable system. Large Scale Systems 6 (1984), no. 3, 249–262. (Reviewer: Françoise Berquier), 49B22 (35K57)
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MR0811246 Bonnans, J. F. Application of a new class of augmented Lagrangians to the control of distributed parameter systems. Control of distributed parameter systems, 1982 (Toulouse, 1982), 237–243, IFAC, Laxenburg, 1983, 49A22
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