Optimal Boundary Control of Hyperbolic Balance Laws with State Constraints

Johann M. Schmitt; Stefan Ulbrich

doi:10.1137/19m129797x

Optimal Boundary Control of Hyperbolic Balance Laws with State Constraints

SIAM Journal on Control and Optimization ◽

10.1137/19m129797x ◽

2021 ◽

Vol 59 (2) ◽

pp. 1341-1369

Author(s):

Johann M. Schmitt ◽

Stefan Ulbrich

Keyword(s):

Boundary Control ◽

State Constraints ◽

Balance Laws ◽

Optimal Boundary ◽

Hyperbolic Balance Laws ◽

Optimal Boundary Control

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Source Representation Strategy for Optimal Boundary Control Problems with State Constraints

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/1380 ◽

2009 ◽

pp. 189-203 ◽

Cited By ~ 2

Author(s):

F. Tröltzsch ◽

I. Yousept

Keyword(s):

Boundary Control ◽

State Constraints ◽

Control Problems ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

Boundary Control Problems

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Optimal boundary control of hyperbolic equations with pointwise state constraints

Nonlinear Analysis ◽

10.1016/j.na.2004.12.017 ◽

2005 ◽

Vol 63 (5-7) ◽

pp. 823-830 ◽

Cited By ~ 6

Author(s):

Boris S. Mordukhovich ◽

Jean-Pierre Raymond

Keyword(s):

Boundary Control ◽

State Constraints ◽

Hyperbolic Equations ◽

Optimal Boundary ◽

Pointwise State Constraints ◽

Optimal Boundary Control

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Optimal boundary control of hyperbolic equations with pointwise state and mixed control-state constraints

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3200 ◽

2014 ◽

Vol 38 (9) ◽

pp. 1876-1887

Author(s):

Peng Gao

Keyword(s):

Boundary Control ◽

State Constraints ◽

Hyperbolic Equations ◽

Optimal Boundary ◽

Mixed Control ◽

Optimal Boundary Control ◽

Control State

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Optimal boundary control problems for shape memory alloys under state constraints for stress and temperature

Numerical Functional Analysis and Optimization ◽

10.1080/01630569808816840 ◽

1998 ◽

Vol 19 (5-6) ◽

pp. 489-498 ◽

Cited By ~ 7

Author(s):

Nikolaus Bubner ◽

Jan Sokolowski ◽

JÜrgen Sprekels

Keyword(s):

Shape Memory Alloys ◽

Shape Memory ◽

Boundary Control ◽

State Constraints ◽

Control Problems ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

Boundary Control Problems

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Regularization of the Pontryagin maximum principle in the problem of optimal boundary control for a parabolic equation with state constraints in Lebesgue spaces

Vestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Nauki ◽

10.20537/vm170202 ◽

2017 ◽

Vol 27 (2) ◽

pp. 162-177 ◽

Cited By ~ 1

Author(s):

A.A. Gorshkov ◽

◽

M.I. Sumin ◽

Keyword(s):

Parabolic Equation ◽

Maximum Principle ◽

Boundary Control ◽

Pontryagin Maximum Principle ◽

State Constraints ◽

Lebesgue Spaces ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

The Pontryagin Maximum Principle

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Computation of a Constrained Optimal Boundary Control for the Heat Equation

10.23919/acc.1982.4787846 ◽

1982 ◽

Author(s):

Thomas I. Seidman

Keyword(s):

Heat Equation ◽

Boundary Control ◽

Optimal Boundary ◽

Optimal Boundary Control

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Existence of optimal boundary control for the Navier–Stokes equations with mixed boundary conditions

Portugaliae Mathematica ◽

10.4171/pm/1968 ◽

2015 ◽

Vol 72 (2) ◽

pp. 267-283 ◽

Cited By ~ 7

Author(s):

Telma Guerra ◽

Adélia Sequeira ◽

Jorge Tiago

Keyword(s):

Boundary Conditions ◽

Boundary Control ◽

Stokes Equations ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Optimal Boundary ◽

Optimal Boundary Control

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An analytic form of an optimal boundary control by displacement at one end of a string under a model nonlocal boundary condition of one of four types

Doklady Mathematics ◽

10.1134/s1064562408030198 ◽

2008 ◽

Vol 77 (3) ◽

pp. 391-395 ◽

Cited By ~ 3

Author(s):

V. A. Il’in

Keyword(s):

Boundary Condition ◽

Boundary Control ◽

Nonlocal Boundary Condition ◽

Nonlocal Boundary ◽

Analytic Form ◽

Optimal Boundary ◽

Optimal Boundary Control

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A Nonoverlapping Domain Decomposition for Optimal Boundary Control of the Dynamic Maxwell System

Control Of Nonlinear Distributed Parameter Systems ◽

10.1201/9780203904190.ch8 ◽

2001 ◽

Cited By ~ 2

Author(s):

J Lagnese

Keyword(s):

Domain Decomposition ◽

Boundary Control ◽

Maxwell System ◽

Nonoverlapping Domain ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

Nonoverlapping Domain Decomposition

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Optimal boundary control of nonsteady incompressible flow with an application to viscous drag reduction

10.1109/cdc.1990.203619 ◽

1990 ◽

Author(s):

T.P. Svobodny ◽

M.D. Gunzburger ◽

L.S. Hou

Keyword(s):

Drag Reduction ◽

Boundary Control ◽

Incompressible Flow ◽

Viscous Drag ◽

Optimal Boundary ◽

Optimal Boundary Control

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