Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Uniform exponential stability of semi-discrete scheme for Euler–Bernoulli beam equation with non-collocated feedback

Han-Jing Ren and Bao-Zhu Guo
Systems & Control Letters 197 106017 (2025)
https://doi.org/10.1016/j.sysconle.2024.106017

Uniformly Exponential Stability for the Semi-Discrete Order Reduction Finite Difference Schemes of ODE-Wave Equation Coupled System

圆梅 王
Advances in Applied Mathematics 14 (04) 731 (2025)
https://doi.org/10.12677/aam.2025.144201

Exponential Stabilization and Discrete Approximation for Axially Moving Euler–Bernoulli Beam Under Nonlinear Boundary Control

Yi Cheng, Yingnan Wu and Bao-Zhu Guo
SIAM Journal on Control and Optimization 63 (1) 227 (2025)
https://doi.org/10.1137/23M1595333

Boundary Controllability of a System of Petrovsky Equations Coupled by Velocities

Mohamed Azzaoui, Jawad Salhi and Mouhcine Tilioua
Differential Equations and Dynamical Systems (2025)
https://doi.org/10.1007/s12591-025-00710-8

On a neural network approach for solving potential control problem of the semiclassical Schrödinger equation

Yating Wang and Liu Liu
Journal of Computational and Applied Mathematics 438 115504 (2024)
https://doi.org/10.1016/j.cam.2023.115504

An application of moment method to uniform boundary controllability property of a semidiscrete 1-d wave equation with a lower rate vanishing viscosity

Ionel Rovenţa, Laurenţiu Emanuel Temereancă and Mihai-Adrian Tudor
Journal of Differential Equations 389 1 (2024)
https://doi.org/10.1016/j.jde.2024.01.015

A New Semi-Discretization of the Fully Clamped Euler-Bernoulli Beam Preserving Boundary Observability Uniformly

Ahmet Kaan Aydin, Md Zulfiqur Haider and Ahmet Özkan Özer
IEEE Control Systems Letters 8 2955 (2024)
https://doi.org/10.1109/LCSYS.2024.3519379

Uniform Exponential Stability for a Schrödinger Equation and Its Semidiscrete Approximation

Bao-Zhu Guo and Fu Zheng
IEEE Transactions on Automatic Control 69 (12) 8900 (2024)
https://doi.org/10.1109/TAC.2024.3419847

Weighted Ingham-type inequalities via the positivity of quadratic polynomials

Ionel Rovenţa, Laurenţiu Emanuel Temereancă and Mihai Adrian Tudor
Aequationes mathematicae 98 (3) 865 (2024)
https://doi.org/10.1007/s00010-023-00999-2

Boundary controllability for a degenerate beam equation

Alessandro Camasta and Genni Fragnelli
Mathematical Methods in the Applied Sciences 47 (2) 907 (2024)
https://doi.org/10.1002/mma.9692

A Stability Result for a Degenerate Beam Equation

Alessandro Camasta and Genni Fragnelli
SIAM Journal on Control and Optimization 62 (1) 630 (2024)
https://doi.org/10.1137/23M1565668

A Novel Finite Difference-Based Model Reduction and a Sensor Design for a Multilayer Smart Beam With Arbitrary Number of Layers

Ahmet Kaan Aydın, Ahmet Özkan Özer and Jacob Walterman
IEEE Control Systems Letters 7 1548 (2023)
https://doi.org/10.1109/LCSYS.2023.3274698

A novel sensor design for a cantilevered Mead-Marcus-type sandwich beam model by the order-reduction technique

Ahmet Özkan Özer and Ahmet Kaan Aydin
ESAIM: Control, Optimisation and Calculus of Variations 29 74 (2023)
https://doi.org/10.1051/cocv/2023061

Identification of flexural rigidity for Euler–Bernoulli beam by an iterative algorithm based on least squares and finite difference method

Guoyao Ma, Qi Jiang, Xiju Zong and Jie Wang
Structures 55 138 (2023)
https://doi.org/10.1016/j.istruc.2023.06.012

Uniformly exponentially stable approximations for Timoshenko beams

Xiaofeng Wang, Wenlong Xue, Yong He and Fu Zheng
Applied Mathematics and Computation 451 128028 (2023)
https://doi.org/10.1016/j.amc.2023.128028

Uniform boundary observability of Finite Difference approximations of non-compactly coupled piezoelectric beam equations

Ahmet Ozkan Ozer and Wilson Horner
Applicable Analysis 101 (5) 1571 (2022)
https://doi.org/10.1080/00036811.2021.1936508

Observability inequality for piecewise Hermite cubic orthogonal spline collocation semi‐discretization of the wave‐Petrovsky system with memory

Da Xu
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 100 (2) (2020)
https://doi.org/10.1002/zamm.201900265

Uniform Convergence of the Solutions of Riccati Equations for a Family of Optimal Control Problems

Zhaoqiang Ge
Journal of Systems Science and Complexity 33 (1) 74 (2020)
https://doi.org/10.1007/s11424-019-8062-y

Optimal approximation of internal controls for a wave-type problem with fractional Laplacian using finite-difference method

Pierre Lissy and Ionel Rovenţa
Mathematical Models and Methods in Applied Sciences 30 (03) 439 (2020)
https://doi.org/10.1142/S0218202520500116

Boundary Controllability for Finite-Differences Semidiscretizations of a Clamped Beam Equation

Nicolae Cîndea, Sorin Micu and Ionel Rovenţa
SIAM Journal on Control and Optimization 55 (2) 785 (2017)
https://doi.org/10.1137/16M1076976

Uniform controllability of semidiscrete approximations for parabolic systems in Banach spaces

Thuy N. T. Nguyen
Discrete & Continuous Dynamical Systems - B 20 (2) 613 (2015)
https://doi.org/10.3934/dcdsb.2015.20.613

Controllability of the space semi-discrete approximation for the beam equation

Ioan Florin Bugariu, Nicolae Cîndea, Sorin Micu and Ionel Roventa
IFAC Proceedings Volumes 47 (3) 11369 (2014)
https://doi.org/10.3182/20140824-6-ZA-1003.02286

Uniformly exponentially or polynomially stable approximations for second order evolution equations and some applications

Farah Abdallah, Serge Nicaise, Julie Valein and Ali Wehbe
ESAIM: Control, Optimisation and Calculus of Variations 19 (3) 844 (2013)
https://doi.org/10.1051/cocv/2012036

Boundary observability of a numerical approximation scheme of Maxwell’s system in a cube

Serge Nicaise
Collectanea mathematica 59 (1) 27 (2008)
https://doi.org/10.1007/BF03191180

A Numerical Method of Local Energy Decay for the Boundary Controllability of Time‐Reversible Distributed Parameter Systems

Pablo Pedregal, Francisco Periago and Jorge Villena
Studies in Applied Mathematics 121 (1) 27 (2008)
https://doi.org/10.1111/j.1467-9590.2008.00406.x

Convergence of a Semidiscrete Two-Grid Algorithm for the Controllability of the $1-d$ Wave Equation

Mihaela Negreanu
SIAM Journal on Numerical Analysis 46 (6) 3233 (2008)
https://doi.org/10.1137/06064915X

Controllability of the nonlinear Schrödinger equation in the vicinity of the ground state

H. Lange and H. Teismann
Mathematical Methods in the Applied Sciences 30 (13) 1483 (2007)
https://doi.org/10.1002/mma.849

Computational methods for the fast boundary stabilization of flexible structures. Part 1: The case of beams

F. Bourquin, B. Branchet and M. Collet
Computer Methods in Applied Mechanics and Engineering 196 (4-6) 988 (2007)
https://doi.org/10.1016/j.cma.2006.08.003

On The Eigenvalues of the Spectral Second Order Differentiation Operator and Application to the Boundary Observability of the Wave Equation

T. Z. Boulmezaoud and J. M. Urquiza
Journal of Scientific Computing 31 (3) 307 (2007)
https://doi.org/10.1007/s10915-006-9106-8

Discrete Ingham Inequalities and Applications

Mihaela Negreanu and Enrique Zuazua
SIAM Journal on Numerical Analysis 44 (1) 412 (2006)
https://doi.org/10.1137/050630015

Internal stabilization of the plate equation in a square: the continuous and the semi-discretized problems

K. Ramdani, T. Takahashi and M. Tucsnak
Journal de Mathématiques Pures et Appliquées 85 (1) 17 (2006)
https://doi.org/10.1016/j.matpur.2005.10.006