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Journal of Computational and Applied Mathematics 259 294 (2014)
DOI: 10.1016/j.cam.2013.09.045
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Exact Boundary Controllability of the Korteweg--de Vries Equation

Bing-Yu Zhang
SIAM Journal on Control and Optimization 37 (2) 543 (1999)
DOI: 10.1137/S0363012997327501
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Local Exact Controllability and Stabilizability of the Nonlinear Schrödinger Equation on a Bounded Interval

Lionel Rosier and Bing-Yu Zhang
SIAM Journal on Control and Optimization 48 (2) 972 (2009)
DOI: 10.1137/070709578
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Global Stabilization of The Generalized Burgers-Korteweg-de Vries Equation by Boundary Control

Agus Hasan and Bjarne Foss
IFAC Proceedings Volumes 44 (1) 6771 (2011)
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Boundary Controllability of the Korteweg--de Vries Equation on a Bounded Domain

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SIAM Journal on Control and Optimization 51 (4) 2976 (2013)
DOI: 10.1137/120891721
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-Insensitizing controls for the linear stochastic Korteweg-de Vries equation

Peng Gao
Applicable Analysis 95 (9) 1919 (2016)
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Boundary controllability for the nonlinear Korteweg–de Vries equation on any critical domain

Eduardo Cerpa and Emmanuelle Crépeau
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 26 (2) 457 (2009)
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On the controllability of the fifth-order Korteweg–de Vries equation

O. Glass and S. Guerrero
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 26 (6) 2181 (2009)
DOI: 10.1016/j.anihpc.2009.01.010
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Global well-posedness and exponential decay rates for a KdV–Burgers equation with indefinite damping

M.M. Cavalcanti, V.N. Domingos Cavalcanti, V. Komornik and J.H. Rodrigues
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DOI: 10.1016/j.anihpc.2013.08.003
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Boundary observability of gravity water waves

Thomas Alazard
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DOI: 10.1016/j.anihpc.2017.07.006
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Output feedback stabilization of the linearized Korteweg–de Vries equation with right endpoint controllers

Ahmet Batal and Türker Özsarı
Automatica 109 108531 (2019)
DOI: 10.1016/j.automatica.2019.108531
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On the controllability and stabilization of the Benjamin equation on a periodic domain

M. Panthee and F. Vielma Leal
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Neumann Boundary Controllability of the Korteweg--de Vries Equation on a Bounded Domain

Miguel Andres Caicedo, Roberto Capistrano Filho and Bing-Yu Zhang
SIAM Journal on Control and Optimization 55 (6) 3503 (2017)
DOI: 10.1137/15M103755X
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Global Stabilization of a Korteweg--De Vries Equation With Saturating Distributed Control

Swann Marx, Eduardo Cerpa, Christophe Prieur and Vincent Andrieu
SIAM Journal on Control and Optimization 55 (3) 1452 (2017)
DOI: 10.1137/16M1061837
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Uniform stabilization of a nonlinear dispersive system

A. Pazoto and G. Souza
Quarterly of Applied Mathematics 72 (1) 193 (2013)
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Boundary control of the generalized Korteweg–de Vries–Burgers equation

Nejib Smaoui and Rasha H. Al-Jamal
Nonlinear Dynamics 51 (3) 439 (2008)
DOI: 10.1007/s11071-007-9222-5
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On the uniform decay for the Korteweg–de Vries equation with weak damping

C. P. Massarolo, G. P. Menzala and A. F. Pazoto
Mathematical Methods in the Applied Sciences 30 (12) 1419 (2007)
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Some exact controllability results for the linear KdV equation and uniform controllability in the zero-dispersion limit

Olivier Glass and Sergio Guerrero
PAMM 7 (1) 1041601 (2007)
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Well-posedness of a nonlinear boundary value problem for the Korteweg–de Vries equation on a bounded domain

Miguel Andres Caicedo and Bing-Yu Zhang
Journal of Mathematical Analysis and Applications 448 (2) 797 (2017)
DOI: 10.1016/j.jmaa.2016.11.032
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Uniform stabilization of numerical schemes for the critical generalized Korteweg-de Vries equation with damping

A. F. Pazoto, M. Sepúlveda and O. Vera Villagrán
Numerische Mathematik 116 (2) 317 (2010)
DOI: 10.1007/s00211-010-0291-x
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Boundary feedback stabilization of the Korteweg–de Vries–Burgers equation posed on a finite interval

Chaohua Jia
Journal of Mathematical Analysis and Applications 444 (1) 624 (2016)
DOI: 10.1016/j.jmaa.2016.06.063
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Two approaches for the stabilization of the nonlinear KdV equation with boundary time-delay feedback

Emmanuelle Crepeau, Lucie Baudouin and Julie Valein
IEEE Transactions on Automatic Control 1 (2018)
DOI: 10.1109/TAC.2018.2849564
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Internal controllability of the Kawahara equation on a bounded domain

Mo Chen
Nonlinear Analysis 185 356 (2019)
DOI: 10.1016/j.na.2019.03.016
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Mathematics of Complexity and Dynamical Systems

Olivier Glass
Mathematics of Complexity and Dynamical Systems 755 (2012)
DOI: 10.1007/978-1-4614-1806-1_46
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Mathematics of Complexity and Dynamical Systems

Lionel Rosier
Mathematics of Complexity and Dynamical Systems 395 (2012)
DOI: 10.1007/978-1-4614-1806-1_26
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Mathematics of Complexity and Dynamical Systems

Fatiha Alabau‐Boussouira and Piermarco Cannarsa
Mathematics of Complexity and Dynamical Systems 102 (2012)
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Roberto A Capistrano-Filho, Fernando A Gallego and Ademir F Pazoto
Nonlinearity 32 (5) 1852 (2019)
DOI: 10.1088/1361-6544/aafe34
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Pseudo-Backstepping and Its Application to the Control of Korteweg--de Vries Equation from the Right Endpoint on a Finite Domain

Türker Özsarı and Ahmet Batal
SIAM Journal on Control and Optimization 57 (2) 1255 (2019)
DOI: 10.1137/18M1211933
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Stabilization of Regular Solutions for the Zakharov-Kuznetsov Equation Posed on Bounded Rectangles and on a Strip

G. G. Doronin and N. A. Larkin
Proceedings of the Edinburgh Mathematical Society 58 (3) 661 (2015)
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Null Controllability of a Linearized Korteweg--de Vries Equation by Backstepping Approach

S. Xiang
SIAM Journal on Control and Optimization 57 (2) 1493 (2019)
DOI: 10.1137/17M1115253
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Analysis, Probability, Applications, and Computation

Andrei V. Faminskii
Trends in Mathematics, Analysis, Probability, Applications, and Computation 939 305 (2019)
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Wellposedness and Asymptotic Behavior of the Perturbed Nonlinear Schrödinger Equation with Kerr Law Nonlinearity and Localized Damping

Zaiyun Zhang, Zhenhai Liu and Mingbao Sun
Funkcialaj Ekvacioj 63 (3) 293 (2020)
DOI: 10.1619/fesi.63.293
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Exponential stabilization of an ODE–linear KdV cascaded system with boundary input delay

Habib Ayadi
IMA Journal of Mathematical Control and Information 37 (4) 1506 (2020)
DOI: 10.1093/imamci/dnaa022
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Local exact controllability to the trajectories of the Korteweg–de Vries–Burgers equation on a bounded domain with mixed boundary conditions

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Journal of Differential Equations 268 (9) 4945 (2020)
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Non-homogeneous initial-boundary-value problem of the fifth-order Korteweg-de Vries equation with a nonlinear dispersive term

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Journal of Mathematical Analysis and Applications 497 (1) 124848 (2021)
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Modified and subcritical Zakharov-Kuznetsov equations posed on rectangles

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Initial boundary value problem for Korteweg–de Vries equation: a review and open problems

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São Paulo Journal of Mathematical Sciences 13 (2) 402 (2019)
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Non-homogeneous boundary value problems for some KdV-type equations on a finite interval: A numerical approach

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DOI: 10.1016/j.cnsns.2020.105669
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DOI: 10.1007/s11854-018-0074-3
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DOI: 10.1080/00036811.2020.1754402
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BOUNDARY CONTROLLABILITY FOR THE TIME-FRACTIONAL NONLINEAR KORTEWEG-DE VRIES (KDV) EQUATION

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Journal of Applied Analysis & Computation 10 (2) 411 (2020)
DOI: 10.11948/20180018
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Systems & Control Letters 148 104851 (2021)
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Supercritical Zakharov–Kuznetsov equation posed on bounded rectangles

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DOI: 10.1007/s00033-020-01463-w
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Nonlinearity 34 (2) 989 (2021)
DOI: 10.1088/1361-6544/abb453
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Well-posedness and controllability of Kawahara equation in weighted Sobolev spaces

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Nonlinear Analysis 207 112267 (2021)
DOI: 10.1016/j.na.2021.112267
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Evolution Equations and Control Theory 11 (5) 1519 (2022)
DOI: 10.3934/eect.2021052
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Applied Mathematics Letters 120 107264 (2021)
DOI: 10.1016/j.aml.2021.107264
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Well-posedness and asymptotic behavior of a generalized higher order nonlinear Schrödinger equation with localized dissipation

Marcelo M. Cavalcanti, Wellington J. Corrêa, Andrei V. Faminskii, Mauricio A. Sepúlveda C. and Rodrigo Véjar-Asem
Computers & Mathematics with Applications 96 188 (2021)
DOI: 10.1016/j.camwa.2021.05.001
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Asymptotic stability of a Korteweg–de Vries equation with a two-dimensional center manifold

Shuxia Tang, Jixun Chu, Peipei Shang and Jean-Michel Coron
Advances in Nonlinear Analysis 7 (4) 497 (2018)
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Local well-posedness of the coupled KdV-KdV systems on $ \mathbb{R} $

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DOI: 10.3934/eect.2022002
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Nonlinear Analysis: Real World Applications 65 103508 (2022)
DOI: 10.1016/j.nonrwa.2022.103508
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Local null controllability of a model system for strong interaction between internal solitary waves

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Communications in Contemporary Mathematics 24 (02) (2022)
DOI: 10.1142/S0219199721500036
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Stabilization results for delayed fifth-order KdV-type equation in a bounded domain

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DOI: 10.3934/mcrf.2023004
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Zeitschrift für angewandte Mathematik und Physik 74 (1) (2023)
DOI: 10.1007/s00033-022-01897-4
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Rapid exponential stabilization of a Boussinesq system of KdV–KdV Type

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Communications in Contemporary Mathematics 25 (03) (2023)
DOI: 10.1142/S021919972150111X
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Identification of an unknown coefficient in KdV equation from final time measurement

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Journal of Inverse and Ill-posed Problems 24 (4) 469 (2016)
DOI: 10.1515/jiip-2016-0011
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On a multi-objective control problem for the Korteweg–de Vries equation

Islanita C. A. Albuquerque, Fágner D. Araruna and Maurício C. Santos
Calculus of Variations and Partial Differential Equations 62 (4) (2023)
DOI: 10.1007/s00526-023-02471-0
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Control and stabilization of the Benjamin-Ono equation on a periodic domain

Felipe Linares and Lionel Rosier
Transactions of the American Mathematical Society 367 (7) 4595 (2015)
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Stability results for the KdV equation with time-varying delay

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Systems & Control Letters 177 105547 (2023)
DOI: 10.1016/j.sysconle.2023.105547
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Exponential decay for the KdV equation on ℝ with new localized dampings

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Proceedings of the Royal Society of Edinburgh: Section A Mathematics 1 (2022)
DOI: 10.1017/prm.2022.17
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Exact controllability and stabilization for a general internal wave system of Benjamin-Ono type

José R. Quintero and Alex M. Montes
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DOI: 10.3934/eect.2021021
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Roger P. de Moura, Ailton C. Nascimento and Gleison N. Santos
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DOI: 10.3934/eect.2021022
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Discrete and Continuous Dynamical Systems - S 15 (6) 1499 (2022)
DOI: 10.3934/dcdss.2022096
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Well‐posedness and exponential stability of the Kawahara equation with a time‐delayed localized damping

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DOI: 10.1002/mma.8369
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Modified Zakharov-Kuznetsov Equation Posed on a Half-Strip

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Applied Mathematics & Optimization 85 (3) (2022)
DOI: 10.1007/s00245-022-09877-w
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Decay for the nonlinear KdV equations at critical lengths

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Journal of Differential Equations 295 249 (2021)
DOI: 10.1016/j.jde.2021.05.057
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Control results with overdetermination condition for higher order dispersive system

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DOI: 10.1016/j.jmaa.2021.125546
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Well-posedness and exponential decay estimates for a Korteweg–de Vries–Burgers equation with time-delay

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Nonlinear Analysis 191 111646 (2020)
DOI: 10.1016/j.na.2019.111646
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DOI: 10.3934/mcrf.2021039
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On the control issues for higher-order nonlinear dispersive equations on the circle

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Nonlinear Analysis: Real World Applications 68 103695 (2022)
DOI: 10.1016/j.nonrwa.2022.103695
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Two simple criterion to obtain exact controllability and stabilization of a linear family of dispersive PDE's on a periodic domain

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DOI: 10.3934/eect.2021062
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Delayed stabilization of the Korteweg–de Vries equation on a star-shaped network

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Mathematics of Control, Signals, and Systems 34 (3) 559 (2022)
DOI: 10.1007/s00498-022-00319-0
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Global Well-Posedness of the KdV Equation on a Star-Shaped Network and Stabilization by Saturated Controllers

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SIAM Journal on Control and Optimization 60 (4) 2268 (2022)
DOI: 10.1137/21M1434581
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A single bounded input‐feedback control to the generalized Korteweg–de Vries–Burgers–Kuramoto–Sivashinsky equation

Rasha Al Jamal and Nejib Smaoui
Mathematical Methods in the Applied Sciences 46 (2) 2222 (2023)
DOI: 10.1002/mma.8640
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Fatiha Alabau‐Boussouira and Piermarco Cannarsa
1485 (2009)
DOI: 10.1007/978-0-387-30440-3_97
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Asymptotic behavior of a linear higher-order BBM-system with damping

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Zeitschrift für angewandte Mathematik und Physik 73 (6) (2022)
DOI: 10.1007/s00033-022-01861-2
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Boundary controllability and stabilizability of a coupled first-order hyperbolic-elliptic system

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DOI: 10.3934/eect.2022054
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On the exact controllability for the Benney-Luke equation in a bounded domain

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DOI: 10.3934/eect.2022052
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Global Approximate Controllability of the Korteweg-de Vries Equation by a Finite-Dimensional Force

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Applied Mathematics & Optimization 87 (1) (2023)
DOI: 10.1007/s00245-022-09924-6
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Asymptotic behavior of the Korteweg–de Vries equation posed in a quarter plane

F. Linares and A.F. Pazoto
Journal of Differential Equations 246 (4) 1342 (2009)
DOI: 10.1016/j.jde.2008.11.002
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