Optimal Control of a Parabolic Equation with Time-Dependent State Constraints
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[1] Eduardo Casas,et al. Optimal control of semilinear multistate systems with state constraints , 1989 .
[2] J. F. Bonnans,et al. STABILITY AND SENSITIVITY ANALYSIS FOR OPTIMAL CONTROL PROBLEMS WITH A FIRST-ORDER STATE CONSTRAINT AND APPLICATION TO CONTINUATION METHODS , 2008 .
[3] J. Penot,et al. Tangent sets to unilateral convex sets , 1995 .
[4] Fredi Tröltzsch,et al. Sufficient Second-Order Optimality Conditions for Semilinear Control Problems with Pointwise State Constraints , 2008, SIAM J. Optim..
[5] J. P. Raymond,et al. Optimal Control Problems with Mixed Control-State Constraints , 2000, SIAM J. Control. Optim..
[6] Hidefumi Kawaski,et al. An envelope-like effect of infinitely many inequality constraints on second-order necessary conditions for minimization problems , 1988 .
[7] S. M. Robinson. Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems , 1976 .
[8] Jacques Louis Lions,et al. Contrôle des systèmes distribués singuliers , 1983 .
[9] J. Frédéric Bonnans,et al. No-gap second-order optimality conditions for optimal control problems with a single state constraint and control , 2009, Math. Program..
[10] J. F. Bonnans,et al. On the choice of the function spaces for some state-constrained control problems , 1985 .
[11] D. Jacobson,et al. New necessary conditions of optimality for control problems with state-variable inequality constraints , 1971 .
[12] J. Lions,et al. Problèmes aux limites non homogènes et applications , 1968 .
[13] D. R. Kassoy,et al. A Mathematical Analysis of Blowup for Thermal Reactions—the Spatially Nonhomogeneous Case , 1981 .
[14] J. Raymond,et al. Dirichlet Boundary Control of Semilinear Parabolic Equations Part 1: Problems with No State Constraints , 2002 .
[15] J. F. Bonnans,et al. Perturbed Optimization in Banach spaces I: A General Theory based on a Weak Directional Constraint Qualification , 1996 .
[16] Hidefumi Kawasaki. An envelope-like effect of infinitely many inequality constraints on second-order necessary conditions for minimization problems , 1988, Math. Program..
[17] 彰 五十嵐. N. Dunford and J. T. Schwartz (with the assistance of W. G. Bade and R. G. Bartle): Linear Operators. : Part II. Spectral Theoty. Self Adjoint Operators in Hilbert Space. Interscience. 1963. X+1065+7頁, 16×23.5cm, 14,000円。 , 1964 .
[18] E. Casas,et al. Pontryagin's Principle For Local Solutions of Control Problems with Mixed Control-State Constraints , 2000, SIAM J. Control. Optim..
[19] J. Zowe,et al. Regularity and stability for the mathematical programming problem in Banach spaces , 1979 .
[20] Hidefumi Kawasaki. Second order necessary optimality conditions for minimizing a sup-type function , 1991, Math. Program..
[21] Nadir Arada,et al. Necessary Optimality Conditions for Control Problems and the Stone--Cech Compactification , 1999 .
[22] S. M. Robinson. First Order Conditions for General Nonlinear Optimization , 1976 .
[23] Suresh P. Sethi,et al. A Survey of the Maximum Principles for Optimal Control Problems with State Constraints , 1995, SIAM Rev..
[24] R. Temam,et al. Optimality conditions for some nonqualified problems of distributed control , 1989 .
[25] J. Frédéric Bonnans,et al. Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints , 2009 .
[26] Nadir Arada,et al. Minimax Control of Parabolic Systems with State Constraints , 1999, SIAM J. Control. Optim..
[27] Hidefumi Kawasaki. The upper and lower second order directional derivatives of a sup-type function , 1988, Math. Program..
[28] E. Casas. Pontryagin's Principle for State-Constrained Boundary Control Problems of Semilinear Parabolic Equations , 1997 .
[29] W. Hager. Lipschitz Continuity for Constrained Processes , 1979 .
[30] J. F. Bonnans. Analysis and control of a non-linear parabolic unstable system , 1983 .
[31] Jean-Pierre Raymond,et al. Pontryagin's Principle for State-Constrained Control Problems Governed by Parabolic Equations with Unbounded Controls , 1998 .
[32] J. Frédéric Bonnans,et al. Well-Posedness of the Shooting Algorithm for State Constrained Optimal Control Problems with a Single Constraint and Control , 2007, SIAM J. Control. Optim..
[33] J. Raymond,et al. Dirichlet Boundary Control of Semilinear Parabolic Equations Part 2: Problems with Pointwise State Constraints , 2002 .