Optimal boundary control of a system of reaction diffusion equations

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.200900359 ◽

2010 ◽

Vol 90 (12) ◽

pp. 966-982 ◽

Author(s):

W. Barthel ◽

C. John ◽

F. Tröltzsch

Keyword(s):

Boundary Control ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Optimal Boundary ◽

Optimal Boundary Control

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Parametric Sensitivity Analysis for Optimal Boundary Control of a 3D Reaction-Diffusion System

Nonconvex Optimization and Its Applications - Large-Scale Nonlinear Optimization ◽

10.1007/0-387-30065-1_9 ◽

2006 ◽

pp. 127-149 ◽

Author(s):

Roland Griesse ◽

Stefan Volkwein

Keyword(s):

Sensitivity Analysis ◽

Boundary Control ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Parametric Sensitivity ◽

Optimal Boundary ◽

Parametric Sensitivity Analysis ◽

Optimal Boundary Control

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Stabilization of Reaction Diffusion Equations With State Delay Using Boundary Control Input

IEEE Transactions on Automatic Control ◽

10.1109/tac.2016.2539001 ◽

2016 ◽

Vol 61 (12) ◽

pp. 4041-4047 ◽

Author(s):

Tomoaki Hashimoto ◽

Miroslav Krstic

Keyword(s):

Boundary Control ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Control Input ◽

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Manipulation of Self-Aggregation Patterns and Waves in a Reaction-Diffusion System by Optimal Boundary Control Strategies

Physical Review Letters ◽

10.1103/physrevlett.91.208301 ◽

2003 ◽

Vol 91 (20) ◽

Author(s):

Dirk Lebiedz ◽

Ulrich Brandt-Pollmann

Keyword(s):

Boundary Control ◽

Control Strategies ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

Self Aggregation

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A Primal-Dual Active Set Strategy for Optimal Boundary Control of a Nonlinear Reaction-Diffusion System

SIAM Journal on Control and Optimization ◽

10.1137/s0363012903438696 ◽

2005 ◽

Vol 44 (2) ◽

pp. 467-494 ◽

Author(s):

R. Griesse ◽

S. Volkwein

Keyword(s):

Boundary Control ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Active Set Strategy ◽

Optimal Boundary ◽

Nonlinear Reaction ◽

Optimal Boundary Control ◽

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Application of optimal boundary control to reaction-diffusion system with time-varying spatial domain

Proceedings of the 2011 American Control Conference ◽

10.1109/acc.2011.5991356 ◽

2011 ◽

Author(s):

James Ng ◽

Ilyasse Aksikas ◽

Stevan Dubljevic

Keyword(s):

Boundary Control ◽

Reaction Diffusion ◽

Spatial Domain ◽

Reaction Diffusion System ◽

Diffusion System ◽

Time Varying ◽

Optimal Boundary ◽

Optimal Boundary Control

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On the boundary control of coupled reaction-diffusion equations having the same diffusivity parameters

53rd IEEE Conference on Decision and Control ◽

10.1109/cdc.2014.7040205 ◽

2014 ◽

Author(s):

Antonello Baccoli ◽

Yury Orlov ◽

Alessandro Pisano

Keyword(s):

Boundary Control ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Coupled Reaction

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Boundary control and estimation of reaction–diffusion equations on the sphere under revolution symmetry conditions

International Journal of Control ◽

10.1080/00207179.2017.1286691 ◽

2017 ◽

Vol 92 (1) ◽

pp. 2-11 ◽

Author(s):

Rafael Vazquez ◽

Miroslav Krstic

Keyword(s):

Boundary Control ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations

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Boundary control of reaction–diffusion equations on higher-dimensional symmetric domains

10.1016/j.automatica.2020.108832 ◽

2020 ◽

Vol 114 ◽

pp. 108832

Author(s):

Xinglan Liu ◽

Chengkang Xie

Keyword(s):

Boundary Control ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Higher Dimensional

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Stabilization of reaction-diffusion equations with state delay using boundary control input

2015 54th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2015.7403437 ◽

2015 ◽

Author(s):

Tomoaki Hashimoto ◽

Miroslav Krstic

Keyword(s):

Boundary Control ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Control Input ◽

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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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