Boundary control of reaction-diffusion equation with state-delay in the presence of saturation * *This work was supported by Israel Science Foundation (grant No 1128/14).

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2017.08.2120 ◽

2017 ◽

Vol 50 (1) ◽

pp. 12002-12007 ◽

Author(s):

Wen Kang ◽

Emilia Fridman

Keyword(s):

Diffusion Equation ◽

Boundary Control ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

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Feedback Stabilization of a 1-D Linear Reaction–Diffusion Equation With Delay Boundary Control

IEEE Transactions on Automatic Control ◽

10.1109/tac.2018.2849560 ◽

2019 ◽

Vol 64 (4) ◽

pp. 1415-1425 ◽

Author(s):

Christophe Prieur ◽

Emmanuel Trelat

Keyword(s):

Diffusion Equation ◽

Boundary Control ◽

Reaction Diffusion ◽

Feedback Stabilization ◽

Reaction Diffusion Equation ◽

Linear Reaction ◽

Equation With Delay

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Explicit boundary control of a reaction-diffusion equation on a disk

IFAC Proceedings Volumes ◽

10.3182/20140824-6-za-1003.00504 ◽

2014 ◽

Vol 47 (3) ◽

pp. 1562-1567 ◽

Author(s):

Rafael Vazquez ◽

Miroslav Krstic

Keyword(s):

Diffusion Equation ◽

Boundary Control ◽

Reaction Diffusion ◽

Reaction Diffusion Equation

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Integral action for setpoint regulation control of a reaction–diffusion equation in the presence of a state delay

10.1016/j.automatica.2021.109935 ◽

2021 ◽

Vol 134 ◽

pp. 109935

Author(s):

Hugo Lhachemi ◽

Ammar Malik ◽

Robert Shorten

Keyword(s):

Diffusion Equation ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

State Delay ◽

Integral Action

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Boundary control of a fractional reaction-diffusion equation coupled with fractional ordinary differential equations with delay

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126260 ◽

2021 ◽

Vol 406 ◽

pp. 126260

Author(s):

Mimi Hou ◽

Xuan-Xuan Xi ◽

Xian-Feng Zhou

Keyword(s):

Differential Equations ◽

Diffusion Equation ◽

Ordinary Differential Equations ◽

Boundary Control ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Equations With Delay ◽

Fractional Reaction

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Optimal Boundary Control of a Nonlinear Reaction Diffusion Equation via Completing the Square and Al'brekht's Method

IEEE Transactions on Automatic Control ◽

10.1109/tac.2021.3121233 ◽

2021 ◽

pp. 1-1

Author(s):

Arthur J Krener

Keyword(s):

Diffusion Equation ◽

Boundary Control ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Optimal Boundary ◽

Nonlinear Reaction ◽

Optimal Boundary Control ◽

Nonlinear Reaction Diffusion Equation

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Boundary feedback stabilization of a reaction–diffusion equation with Robin boundary conditions and state-delay

10.1016/j.automatica.2020.108931 ◽

2020 ◽

Vol 116 ◽

pp. 108931 ◽

Author(s):

Hugo Lhachemi ◽

Robert Shorten

Keyword(s):

Diffusion Equation ◽

Boundary Conditions ◽

Reaction Diffusion ◽

Feedback Stabilization ◽

Reaction Diffusion Equation ◽

Robin Boundary Conditions ◽

State Delay ◽

Boundary Feedback ◽

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Boundary control of a singular reaction-diffusion equation on a disk

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2016.07.421 ◽

2016 ◽

Vol 49 (8) ◽

pp. 74-79 ◽

Author(s):

Rafael Vazquez ◽

Miroslav Krstic

Keyword(s):

Diffusion Equation ◽

Boundary Control ◽

Reaction Diffusion ◽

Reaction Diffusion Equation

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Stabilization of a spatially non-causal reaction-diffusion equation by boundary control

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.2864 ◽

2012 ◽

Vol 24 (1) ◽

pp. 1-17 ◽

Author(s):

C. Guo ◽

C. Xie ◽

C. Zhou

Keyword(s):

Diffusion Equation ◽

Boundary Control ◽

Reaction Diffusion ◽

Reaction Diffusion Equation

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PI Regulation of a Reaction-Diffusion Equation with Delayed Boundary Control

IEEE Transactions on Automatic Control ◽

10.1109/tac.2020.2996598 ◽

2020 ◽

pp. 1-1

Author(s):

Hugo Lhachemi ◽

Christophe Prieur ◽

Emmanuel Trelat

Keyword(s):

Diffusion Equation ◽

Boundary Control ◽

Reaction Diffusion ◽

Reaction Diffusion Equation

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FIBONACCI COLLOCATION METHOD TO SOLVE TWO-DIMENSIONAL NONLINEAR FRACTIONAL ORDER ADVECTION-REACTION DIFFUSION EQUATION

Special Topics & Reviews in Porous Media An International Journal ◽

10.1615/specialtopicsrevporousmedia.2020028160 ◽

2019 ◽

Vol 10 (6) ◽

pp. 569-584

Author(s):

Kushal Dhar Dwivedi ◽

Rajeev ◽

Subir Das

Keyword(s):

Diffusion Equation ◽

Collocation Method ◽

Fractional Order ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Two Dimensional

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