The Generalized Bang-Bang-Principle and the Numerical Solution of a Parabolic Boundary-Control Problem with Constraints on the Control and the State

NUMERICAL SOLUTION TO A NON-LINEAR PARABOLIC BOUNDARY CONTROL PROBLEM

Advances in Deterministic and Stochastic Analysis ◽

10.1142/9789812770493_0008 ◽

2007 ◽

pp. 115-129

Author(s):

DINH NHO HAO ◽

NGUYEN TRUNG THANH ◽

H. SAHLI

Keyword(s):

Control Problem ◽

Numerical Solution ◽

Boundary Control ◽

Parabolic Boundary ◽

Non Linear

On a lagrange — Newton method for a nonlinear parabolic boundary control problem∗

Optimization Methods and Software ◽

10.1080/10556789808805678 ◽

1998 ◽

Vol 8 (3-4) ◽

pp. 225-247 ◽

Cited By ~ 13

Author(s):

H. Goldberg ◽

F. Tröltzscht

Keyword(s):

Control Problem ◽

Newton Method ◽

Boundary Control ◽

Parabolic Boundary ◽

Nonlinear Parabolic

Numerical Solution of the Positional Boundary Control Problem for the Wave Equation with Unknown Initial Data

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543817090048 ◽

2017 ◽

Vol 299 (S1) ◽

pp. 22-30 ◽

Cited By ~ 2

Author(s):

A. A. Dryazhenkov ◽

M. M. Potapov

Keyword(s):

Wave Equation ◽

Initial Data ◽

Control Problem ◽

Numerical Solution ◽

Boundary Control ◽

On Instantaneous Control for a Nonlinear Parabolic Boundary Control Problem

Numerical Functional Analysis and Optimization ◽

10.1081/nfa-120034123 ◽

2004 ◽

Vol 25 (1-2) ◽

pp. 151-181

Author(s):

Daniel Wachsmuth

Keyword(s):

Control Problem ◽

Boundary Control ◽

Parabolic Boundary ◽

Nonlinear Parabolic ◽

Instantaneous Control

Numerical solution of the positional boundary control problem for the wave equation with unknown initial data

Trudy Instituta Matematiki i Mekhaniki UrO RAN ◽

10.21538/0134-4889-2016-22-2-138-146 ◽

2016 ◽

Vol 22 ◽

pp. 138-146 ◽

Cited By ~ 1

Author(s):

A. A. Dryazhenkov ◽

M. M. Potapov

Keyword(s):

Wave Equation ◽

Initial Data ◽

Control Problem ◽

Numerical Solution ◽

Boundary Control ◽

Lecture Notes in Economics and Mathematical Systems - Optimization and Operations Research ◽

Approximation of a Parabolic Boundary Control Problem by the Line Method

10.1007/978-3-642-46329-7_13 ◽

1976 ◽

pp. 147-159

Author(s):

M. Köhler

Keyword(s):

Control Problem ◽

Boundary Control ◽

Parabolic Boundary ◽

Line Method ◽

A Priori Estimates for the Approximation of a Parabolic Boundary Control Problem

Control and Estimation of Distributed Parameter Systems ◽

10.1007/978-3-0348-8849-3_4 ◽

1998 ◽

pp. 49-65 ◽

Cited By ~ 1

Author(s):

Ariela Briani ◽

Maurizio Falcone

Keyword(s):

Control Problem ◽

Boundary Control ◽

A Priori Estimates ◽

A Priori ◽

Parabolic Boundary ◽

Priori Estimates

Proceeding of the International Conference "Optimal Control and Differential Games" dedicated to the 110th anniversary of L. S. Pontryagin ◽

Numerical solution of the closed-loop boundary control problem with linear terminal set for the wave equation

10.4213/proc22971 ◽

2018 ◽

Author(s):

Andrei Aleksandrovich Dryazhenkov ◽

Mikhail Mikhailovich Potapov

Keyword(s):

Wave Equation ◽

Control Problem ◽

Numerical Solution ◽

Boundary Control ◽

Closed Loop ◽

Terminal Set ◽

Control of Distributed Parameter and Stochastic Systems - IFIP Advances in Information and Communication Technology ◽

A Linear Parabolic Boundary Control Problem with Mixed Control-State Constraint

10.1007/978-0-387-35359-3_2 ◽

1999 ◽

pp. 13-20

Author(s):

Maïtine Bergounioux ◽

Fredi Tröltzsch

Keyword(s):

Control Problem ◽

Boundary Control ◽

State Constraint ◽

Parabolic Boundary ◽

Mixed Control ◽

Control State

Numerical Solution to the Positional Boundary Control Problem for the Wave Equation with Unknown Robin Coefficients

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2018.11.505 ◽

2018 ◽

Vol 51 (32) ◽

pp. 687-691

Author(s):

Andrey A. Dryazhenkov

Keyword(s):

Wave Equation ◽

Control Problem ◽

Numerical Solution ◽

Boundary Control ◽