Dirichlet Boundary Control of Semilinear Parabolic Equations Part 2: Problems with Pointwise State Constraints

Applied Mathematics & Optimization ◽

10.1007/s00245-001-0036-4 ◽

2002 ◽

Vol 45 (2) ◽

pp. 145-167 ◽

Author(s):

N. Arada ◽

J. -P. Raymond

Keyword(s):

Boundary Control ◽

Parabolic Equations ◽

State Constraints ◽

Dirichlet Boundary ◽

Semilinear Parabolic Equations ◽

Dirichlet Boundary Control ◽

Pointwise State Constraints ◽

Semilinear Parabolic

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Dirichlet Boundary Control of Semilinear Parabolic Equations Part 1: Problems with No State Constraints

Applied Mathematics & Optimization ◽

10.1007/s00245-001-0035-5 ◽

2002 ◽

Vol 45 (2) ◽

pp. 125-143 ◽

Author(s):

N. Arada ◽

J. -P. Raymond

Keyword(s):

Boundary Control ◽

Parabolic Equations ◽

State Constraints ◽

Dirichlet Boundary ◽

Semilinear Parabolic Equations ◽

Dirichlet Boundary Control ◽

Semilinear Parabolic

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Dirichlet Boundary Control of Parabolic Systems with Pointwise State Constraints

Control and Estimation of Distributed Parameter Systems ◽

10.1007/978-3-0348-8849-3_17 ◽

1998 ◽

pp. 223-236 ◽

Author(s):

Boris S. Mordukhovich ◽

Kaixia Zhang

Keyword(s):

Boundary Control ◽

State Constraints ◽

Dirichlet Boundary ◽

Parabolic Systems ◽

Dirichlet Boundary Control ◽

Pointwise State Constraints

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Optimal control problem for semilinear parabolic equations with pointwise state constraints

Modelling and Optimization of Distributed Parameter Systems Applications to engineering ◽

10.1007/978-0-387-34922-0_22 ◽

1996 ◽

pp. 216-222 ◽

Author(s):

J. P. Raymond

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Parabolic Equations ◽

State Constraints ◽

Semilinear Parabolic Equations ◽

Pointwise State Constraints ◽

Semilinear Parabolic

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Dirichlet Boundary Control of Hyperbolic Equations in the Presence of State Constraints

Applied Mathematics & Optimization ◽

10.1007/s00245-003-0783-5 ◽

2004 ◽

Vol 49 (2) ◽

pp. 145-157 ◽

Author(s):

Boris S. Mordukhovich ◽

Jean-Pierre Raymond

Keyword(s):

Boundary Control ◽

State Constraints ◽

Dirichlet Boundary ◽

Hyperbolic Equations ◽

Dirichlet Boundary Control

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Dirichlet boundary control problems for parabolic equations with quadratic cost: Analyticity and riccati's feedback synthesis

System Modeling and Optimization - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0006156 ◽

2005 ◽

pp. 362-365

Author(s):

Irena Lasiecka ◽

Roberto Triggiani

Keyword(s):

Boundary Control ◽

Parabolic Equations ◽

Dirichlet Boundary ◽

Control Problems ◽

Dirichlet Boundary Control ◽

Quadratic Cost ◽

Boundary Control Problems ◽

Feedback Synthesis

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Dirichlet Boundary Control Problem for Parabolic Equations with Quadratic Cost: Analyticity and Riccati’s Feedback Synthesis

SIAM Journal on Control and Optimization ◽

10.1137/0321003 ◽

1983 ◽

Vol 21 (1) ◽

pp. 41-67 ◽

Author(s):

I. Lasiecka ◽

R. Triggiani

Keyword(s):

Control Problem ◽

Boundary Control ◽

Parabolic Equations ◽

Dirichlet Boundary ◽

Dirichlet Boundary Control ◽

Quadratic Cost ◽

Boundary Control Problem ◽

Feedback Synthesis

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Optimality conditions for stochastic boundary control problems governed by semilinear parabolic equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2012.05.071 ◽

2012 ◽

Vol 395 (2) ◽

pp. 654-672 ◽

Author(s):

Huaiqiang Yu ◽

Bin Liu

Keyword(s):

Optimality Conditions ◽

Boundary Control ◽

Parabolic Equations ◽

Control Problems ◽

Semilinear Parabolic Equations ◽

Boundary Control Problems ◽

Semilinear Parabolic ◽

Stochastic Boundary

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Minimax Dirichlet boundary control problem with state constraints

Nonlinear Analysis ◽

10.1016/s0362-546x(00)00137-1 ◽

2001 ◽

Vol 46 (5) ◽

pp. 653-673 ◽

Author(s):

Nadir Arada

Keyword(s):

Control Problem ◽

Boundary Control ◽

State Constraints ◽

Dirichlet Boundary ◽

Dirichlet Boundary Control ◽

Boundary Control Problem

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On the Semigroup Approach for the Optimal Control of Semilinear Parabolic Equations Including Distributed and Boundary Control

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/364 ◽

1989 ◽

Vol 8 (5) ◽

pp. 431-443 ◽

Author(s):

Fredi Tröltzsch

Keyword(s):

Optimal Control ◽

Boundary Control ◽

Parabolic Equations ◽

Semilinear Parabolic Equations ◽

Semigroup Approach ◽

Semilinear Parabolic

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The regulator problem for parabolic equations with dirichlet boundary control

Applied Mathematics & Optimization ◽

10.1007/bf01442189 ◽

1987 ◽

Vol 16 (1) ◽

pp. 147-168 ◽

Author(s):

I. Lasiecka ◽

R. Triggiani

Keyword(s):

Boundary Control ◽

Parabolic Equations ◽

Dirichlet Boundary ◽

Dirichlet Boundary Control ◽

Regulator Problem

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