The “Bang-Bang” Principle for the Time-Optimal Problem in Boundary Control of the Heat Equation

E. J. P. Georg Schmidt

doi:10.1137/0318008

The “Bang-Bang” Principle for the Time-Optimal Problem in Boundary Control of the Heat Equation

SIAM Journal on Control and Optimization ◽

10.1137/0318008 ◽

1980 ◽

Vol 18 (2) ◽

pp. 101-107 ◽

Cited By ~ 40

Author(s):

E. J. P. Georg Schmidt

Keyword(s):

Heat Equation ◽

Boundary Control ◽

Time Optimal

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An Abstract Bang-Bang Principle and Time-Optimal Boundary Control of the Heat Equation

SIAM Journal on Control and Optimization ◽

10.1137/s0363012996265470 ◽

1997 ◽

Vol 35 (4) ◽

pp. 1204-1216 ◽

Cited By ~ 35

Author(s):

Victor J. Mizel ◽

Thomas I. Seidman

Keyword(s):

Heat Equation ◽

Boundary Control ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

Time Optimal

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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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Optimal control of backward stochastic heat equation with Neumann boundary control and noise

Stochastics ◽

10.1080/17442508.2011.654345 ◽

2012 ◽

Vol 85 (3) ◽

pp. 532-558 ◽

Cited By ~ 4

Author(s):

Huaiqiang Yu ◽

Bin Liu

Keyword(s):

Optimal Control ◽

Heat Equation ◽

Boundary Control ◽

Neumann Boundary ◽

Stochastic Heat Equation

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Boundary Control Approach to the Regularization of a Cauchy Problem for the Heat Equation

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)53556-9 ◽

1989 ◽

Vol 22 (4) ◽

pp. 271-275

Author(s):

F. Flandoli

Keyword(s):

Cauchy Problem ◽

Heat Equation ◽

Boundary Control ◽

Control Approach

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An LQ Problem for the Heat Equation on the Halfline with Dirichlet Boundary Control and Noise

SIAM Journal on Control and Optimization ◽

10.1137/070711529 ◽

2009 ◽

Vol 48 (3) ◽

pp. 1473-1488 ◽

Cited By ~ 11

Author(s):

G. Fabbri ◽

B. Goldys

Keyword(s):

Heat Equation ◽

Boundary Control ◽

Dirichlet Boundary ◽

Dirichlet Boundary Control ◽

Lq Problem

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Time-Optimal Boundary Control for Systems Defined by a Fractional Order Diffusion Equation

Automation and Remote Control ◽

10.1134/s0005117918050090 ◽

2018 ◽

Vol 79 (5) ◽

pp. 884-896 ◽

Cited By ~ 1

Author(s):

V. A. Kubyshkin ◽

S. S. Postnov

Keyword(s):

Diffusion Equation ◽

Boundary Control ◽

Fractional Order ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

Time Optimal

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BOUNDARY CONTROL APPROACH TO THE REGULARIZATION OF A CAUCHY PROBLEM FOR THE HEAT EQUATION

Control of Distributed Parameter Systems 1989 ◽

10.1016/b978-0-08-037036-1.50052-5 ◽

1990 ◽

pp. 271-275

Author(s):

F. Flandoli

Keyword(s):

Cauchy Problem ◽

Heat Equation ◽

Boundary Control ◽

Control Approach

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Fast Solution Techniques in Constrained Optimal Boundary Control of the Semilinear Heat Equation

International Series of Numerical Mathematics - Control of Coupled Partial Differential Equations ◽

10.1007/978-3-7643-7721-2_6 ◽

2007 ◽

pp. 119-147 ◽

Cited By ~ 4

Author(s):

M. Hintermüller ◽

S. Volkwein ◽

F. Diwoky

Keyword(s):

Heat Equation ◽

Boundary Control ◽

Optimal Boundary ◽

Semilinear Heat Equation ◽

Optimal Boundary Control ◽

Fast Solution ◽

Solution Techniques

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On time-optimal boundary control of vibrating beams

Control Theory for Distributed Parameter Systems and Applications - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0043944 ◽

2006 ◽

pp. 127-137 ◽

Cited By ~ 4

Author(s):

W. Krabs

Keyword(s):

Boundary Control ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

Time Optimal ◽

Vibrating Beams

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Anisotropic heterogeneous n-D heat equation with boundary control and observation: I. Modeling as port-Hamiltonian system

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2019.07.009 ◽

2019 ◽

Vol 52 (7) ◽

pp. 51-56 ◽

Cited By ~ 3

Author(s):

Anass Serhani ◽

Ghislain Haine ◽

Denis Matignon

Keyword(s):

Hamiltonian System ◽

Heat Equation ◽

Boundary Control

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