Time optimal boundary controls for the heat equation

Sorin Micu; Ionel Roventa; Marius Tucsnak

doi:10.1016/j.jfa.2012.04.009

Time optimal boundary controls for the heat equation

Journal of Functional Analysis ◽

10.1016/j.jfa.2012.04.009 ◽

2012 ◽

Vol 263 (1) ◽

pp. 25-49 ◽

Cited By ~ 23

Author(s):

Sorin Micu ◽

Ionel Roventa ◽

Marius Tucsnak

Keyword(s):

Heat Equation ◽

Optimal Boundary ◽

Time Optimal ◽

Boundary Controls

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A Newton method for the computation of time-optimal boundary controls of one-dimensional vibrating systems

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(99)00291-5 ◽

2000 ◽

Vol 114 (1) ◽

pp. 103-119 ◽

Cited By ~ 6

Author(s):

Martin Gugat

Keyword(s):

Newton Method ◽

One Dimensional ◽

Optimal Boundary ◽

Time Optimal ◽

Boundary Controls ◽

Vibrating Systems

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Approximations to time-optimal boundary controls for weak generalized solutions of the wave equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542517030071 ◽

2017 ◽

Vol 57 (4) ◽

pp. 607-625

Author(s):

D. A. Ivanov ◽

M. M. Potapov

Keyword(s):

Wave Equation ◽

Generalized Solutions ◽

Optimal Boundary ◽

Time Optimal ◽

Boundary Controls

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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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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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Time optimal boundary controllability of a viscoelastic beam

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

10.1007/bfb0043877 ◽

2006 ◽

pp. 535-541

Author(s):

G. Leugering

Keyword(s):

Viscoelastic Beam ◽

Boundary Controllability ◽

Optimal Boundary ◽

Time Optimal

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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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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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Optimal boundary controls for the systems described by diffusion-type equation with fractional-order time derivative

2016 International Conference Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) ◽

10.1109/stab.2016.7541203 ◽

2016 ◽

Author(s):

Victor Kubyshkin ◽

Sergey Postnov

Keyword(s):

Fractional Order ◽

Time Derivative ◽

Type Equation ◽

Diffusion Type ◽

Optimal Boundary ◽

Boundary Controls

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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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