Optimal control

    

Papers in International Journals

73 – A. K. Nandakumaran, R. Prakash, J.-P. Raymond, Asymptotic analysis and error estimates for an optimal control problem with oscillating boundaries, Ann. Univ. Ferrara, 2011, DOI 10.1007/s11565-011-0135-3.

53 – E. Casas, J.-P. Raymond, The stability in W^{s,p}(Gamma) spaces of the L^2-projections on some convex sets of finite element function spaces, Num. Funct. An. Optim., Vol. 27 (2006), 117-137.

52 – E. Casas, J.-P. Raymond, Error estimates for the numerical approximation of Dirichlet boundary control of semilinear elliptic equations, SIAM J. Control and Optim., Vol. 45 (2006), 1586-1611.

51 – S. Gombao, J.-P. Raymond, Hamilton-Jacobi equations for control problems of parabolic equations, ESAIM COCV, Vol. 12 (2006), 311-349.

48 – B. S. Mordukhovich, J.-P. Raymond, Neumann boundary control of hyperbolic equations with pointwise state constraints, SIAM, J. on Control and Optim., 43 (2005), 1354-1372.

47 – B. S. Mordukhovich, J.-P. Raymond, Dirichlet boundary control of hyperbolic equations in the presence of state constraints, Appl. Math. Optim., 49 (2004), pp. 145-157.

44 – F. Ben Belgacem, H. El Fekih, J.-P. Raymond, A penalized Robin approach for solving a parabolic equation with nonsmooth Dirichlet boundary conditions, Asymptot. Anal., 34 (2003), pp. 121-136.

43 – N. Arada, J.-P. Raymond, Time optimal problems with Dirichlet boundary controls, Discrete Contin. Dyn. Syst., 9 (2003), pp. 1549-1570.

42 – P. Martinez, J.-P. Raymond, J. Vancostenoble, Nulle contrôlabilité régionale d’une équation de type Crocco linéarisée, C. R. Math. Acad. Sci. Paris, 334 (2002), pp. 581-584.

41 – N. Arada, J.-P. Raymond, F. Tröltzsch, On an augmented Lagrangian SQP method for a class of optimal control problems in Banach spaces, Comput. Optim. Appl., 22 (2002), pp. 369-398.

40 – N. Arada, J.-P. Raymond, Dirichlet boundary control of semilinear parabolic equations. II – Problems with pointwise state constraints, Appl. Math. Optim., 45 (2002), pp. 145-167.

39 – N. Arada, J.-P. Raymond, Dirichlet boundary control of semilinear parabolic equations. I – Problems with no state constraints, Appl. Math. Optim., 45 (2002), pp. 125-143.

38 – P. A. Nguyen, J.-P. Raymond, Control localized on thin structures for semilinear parabolic equations, in Nonlinear partial differential equations and their applications. Collège de France Seminar, Vol. XIV (Paris, 1997/1998), vol.of Stud. Math. Appl., North-Holland, Amsterdam, 2002, pp. 591-645.

37 – P. A. Nguyen, J.-P. Raymond, Control problems for convection-diffusion equations with control localized on manifolds, ESAIM Control Optim. Calc. Var., 6 (2001), pp. 467-488.

36 – F. Flores-Bazan, J.-P. Raymond, A variational problem related to a continuous-time allocation process for a continuum of traders, J. Math. Anal. Appl., 261 (2001), pp. 448-460.

35 – E. Casas, M. Mateos, J.-P. Raymond, Pontryagin’s principle for the control of parabolic equations with gradient state constraints, Nonlinear Anal., 46 (2001), pp. 933–956.

34 – J.-P. Raymond, H. Zidani, Time optimal problems with boundary controls, Differential Integral Equations, 13 (2000), pp. 1039-1072.

33 – J.-P. Raymond, F. Tröltzsch, Second order sufficient optimality conditions for nonlinear parabolic control problems with state constraints, Discrete Contin. Dynam. Systems, 6 (2000), pp. 431-450.

32 – J. Droniou, J.-P. Raymond, Optimal pointwise control of semilinear parabolic equations, Nonlinear Anal., 39 (2000), pp. 135-156.

31 – N. Arada, J.-P. Raymond, Pontryagin’s principle for local solutions of control problems with mixed control-state constraints, SIAM J. Control Optim., 39 (2000), pp. 1182-1203.

30 – N. Arada, H. El Fekih, J.-P. Raymond, Asymptotic analysis of some control problems, Asymptot. Anal., 24 (2000), pp. 343-366.

29 – N. Arada, J.-P. Raymond, Optimal control problems with mixed control-state constraints, SIAM J. Control Optim., 39 (2000), pp. 1391-1407.

28 – N. Arada, M. Bergounioux, J.-P. Raymond, Minimax controls for uncertain parabolic systems, SIAM J. Control Optim., 38 (2000), pp. 1481-1500.

27 – N. Arada, J.-P. Raymond, Approximation of optimal control problems with state constraints, Numer. Funct. Anal. Optim., 21 (2000), pp. 601-621.

26 – N. Arada, J.-P. Raymond, Necessary optimality conditions for control problems and the Stone-Cech compactification, SIAM J. Control Optim., 37 (1999), pp. 1011-1032.

25 – N. Arada, J.-P. Raymond, Minimax control of parabolic systems with state constraints, SIAM J. Control Optim., 38 (1999), pp. 254-271.

24 – N. Arada, J.-P. Raymond, Stability analysis of relaxed Dirichlet boundary control problems, Control Cybernet., 28 (1999), pp. 35-51.

23 – N. Arada, J.-P. Raymond, Optimality conditions for state-constrained Dirichlet boundary control problems, J. Optim. Theory Appl., 102 (1999), pp. 51-68.

22 – J.-P. Raymond, H. Zidani,   Pontryagin’s principle for time-optimal problems, J. Optim. Theory Appl., 101 (1999), pp. 375-402.

21 – J.-P. Raymond, H. Zidani,  Hamiltonian Pontryagin’s principles for control problems governed by semilinear parabolic equations, Appl. Math. Optim., 39 (1999), pp. 143-177.

20 – J.-P. Raymond, H. Zidani, Pontryagin’s principle for state-constrained control problems governed by parabolic equations with unbounded controls, SIAM J. Control Optim., 36 (1998), pp. 1853-1879.

19 – N. Arada, J.-P. Raymond, State-constrained relaxed problems for semilinear elliptic equations, J. Math. Anal. Appl., 223 (1998), pp. 248-271.

18 – J.-J. Alibert, J.-P. Raymond, A Lagrange multiplier theorem for control problems with state constraints, Numer. Funct. Anal. Optim., 19 (1998), pp. 697-704.

17 – J.-J. Alibert, J.-P. Raymond, Boundary control of semilinear elliptic equations with discontinuous leading coefficients and unbounded controls, Numer. Funct. Anal. Optim., 18 (1997), pp. 235-250.

Conference Proceedings

10 – B. Mordukhovich, J.-P. Raymond, Optimal boundary control of hyperbolic equations with pointwisestate constraints, Nonlinear Analysis 63 (5-7) (2005), 823-830.

6 – E. Casas, H. Zidani, J.-P. Raymond, Optimal control problem governed by semilinear ellipticequations with integral control constraints and pointwise state constraints, in Control and estimation ofdistributed parameter systems(Vorau, 1996), vol. 126 of Internat. Ser. Numer. Math., Birkhäuser, Basel,1998, pp. 89-102.

5 – J.-P. Raymond, H. Zidani, Optimal control problem governed by a semilinear parabolic equation,in System modelling and optimization (Prague, 1995), Chapman & Hall, London, 1996, pp. 211-217.

4 – J.-P. Raymond, Optimal control problem for semilinear parabolic equations with pointwise stateconstraints, in Modelling and optimization of distributed parameter systems (Warsaw, 1995), Chapman &Hall, New York, 1996, pp. 216-222.

3 – J.-P. Raymond, Pontryagin’s principle for state-constrained control problems and unboundedcontrols, in Proceedings of the 2nd Catalan Days on Applied Mathematics (Odeillo, 1995), Collect. études,Presses Univ. Perpignan, Perpignan,1995, pp. 227-237.