Necessary Conditions for Distributed Control Problems Governed by Parabolic Variational Inequalities

Viorel Barbu

doi:10.1137/0319006

Necessary Conditions for Distributed Control Problems Governed by Parabolic Variational Inequalities

SIAM Journal on Control and Optimization ◽

10.1137/0319006 ◽

1981 ◽

Vol 19 (1) ◽

pp. 64-86 ◽

Cited By ~ 45

Author(s):

Viorel Barbu

Keyword(s):

Variational Inequalities ◽

Distributed Control ◽

Necessary Conditions ◽

Control Problems ◽

Distributed Control Problems

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Necessary conditions for nonconvex distributed control problems governed by elliptic variational inequalities

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(81)90125-6 ◽

1981 ◽

Vol 80 (2) ◽

pp. 566-597 ◽

Cited By ~ 35

Author(s):

Viorel Barbu

Keyword(s):

Variational Inequalities ◽

Distributed Control ◽

Necessary Conditions ◽

Control Problems ◽

Distributed Control Problems ◽

Elliptic Variational Inequalities

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Approximation of optimal distributed control problems governed by variational inequalities

Numerische Mathematik ◽

10.1007/bf01396440 ◽

1982 ◽

Vol 38 (3) ◽

pp. 393-416 ◽

Cited By ~ 5

Author(s):

Viorel ArnĂutu

Keyword(s):

Variational Inequalities ◽

Distributed Control ◽

Control Problems ◽

Distributed Control Problems ◽

Optimal Distributed Control

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Distributed control problems for a class of degenerate semilinear evolution equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2015.09.034 ◽

2017 ◽

Vol 312 ◽

pp. 39-46 ◽

Cited By ~ 9

Author(s):

M.V. Plekhanova

Keyword(s):

Distributed Control ◽

Evolution Equations ◽

Control Problems ◽

Distributed Control Problems ◽

Semilinear Evolution Equations

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Necessary Conditions for Control Problems Governed by Elliptic Variational Inequalities with an Infinite Number of Variables

Journal of Information and Optimization Sciences ◽

10.1080/02522667.1994.10699179 ◽

1994 ◽

Vol 15 (2) ◽

pp. 171-178 ◽

Cited By ~ 2

Author(s):

S. A. El-Zahaby

Keyword(s):

Variational Inequalities ◽

Infinite Number ◽

Necessary Conditions ◽

Control Problems ◽

Elliptic Variational Inequalities

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Generalized Augmented Lagrangian-SOR Iteration Method for Saddle-Point Systems Arising from Distributed Control Problems

Journal of Computational Mathematics ◽

10.4208/jcm.1511-m2015-0297 ◽

2016 ◽

Vol 34 (2) ◽

pp. 174-185 ◽

Cited By ~ 2

Author(s):

Minli Zeng

Keyword(s):

Saddle Point ◽

Distributed Control ◽

Iteration Method ◽

Augmented Lagrangian ◽

Control Problems ◽

Distributed Control Problems

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On the computation of induced norms for non-compact Hankel operators arising from distributed control problems

Systems & Control Letters ◽

10.1016/0167-6911(92)90074-3 ◽

1992 ◽

Vol 19 (6) ◽

pp. 429-438 ◽

Cited By ~ 4

Author(s):

Armando A. Rodriguez ◽

Munther A. Dahleh

Keyword(s):

Distributed Control ◽

Hankel Operators ◽

Control Problems ◽

Distributed Control Problems

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Numerical Solution of Optimal Distributed Control Problems for Incompressible Flows

International Journal of Computational Fluid Dynamics ◽

10.1080/10618569708940798 ◽

1997 ◽

Vol 8 (2) ◽

pp. 99-114 ◽

Cited By ~ 10

Author(s):

L. S. HOU ◽

S. S. RAVINDRAN ◽

Y. YAN

Keyword(s):

Numerical Solution ◽

Distributed Control ◽

Incompressible Flows ◽

Control Problems ◽

Distributed Control Problems ◽

Optimal Distributed Control

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State Error Estimates for the Numerical Approximation of Sparse Distributed Control Problems in the Absence of Tikhonov Regularization

Vietnam Journal of Mathematics ◽

10.1007/s10013-021-00491-x ◽

2021 ◽

Author(s):

Eduardo Casas ◽

Mariano Mateos

Keyword(s):

Error Estimates ◽

Distributed Control ◽

Tikhonov Regularization ◽

Numerical Approximation ◽

Control Problems ◽

Distributed Control Problems ◽

State Error

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Convex Relaxation for Optimal Distributed Control Problems

IEEE Transactions on Automatic Control ◽

10.1109/tac.2016.2562062 ◽

2017 ◽

Vol 62 (1) ◽

pp. 206-221 ◽

Cited By ~ 31

Author(s):

Ghazal Fazelnia ◽

Ramtin Madani ◽

Abdulrahman Kalbat ◽

Javad Lavaei

Keyword(s):

Distributed Control ◽

Convex Relaxation ◽

Control Problems ◽

Distributed Control Problems ◽

Optimal Distributed Control

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Duality methods for non qualified distributed control problems

Control of Partial Differential Equations - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0002580 ◽

2005 ◽

pp. 65-72

Author(s):

Frederic Abergel ◽

Roger Temam

Keyword(s):

Distributed Control ◽

Control Problems ◽

Distributed Control Problems ◽

Duality Methods

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