A novel semi-discrete scheme preserving uniformly exponential stability for an Euler–Bernoulli beam

This publication has 24 references indexed in Scilit:

• Optimal filtration for the approximation of boundary controls for the one-dimensional wave equation using a finite-difference method
  Mathematics of Computation, 2018
• An Ingham type proof for a two-grid observability theorem
  ESAIM: Control, Optimisation and Calculus of Variations, 2007
• Boundary controllability of a linear semi-discrete 1-D wave equation derived from a mixed finite element method
  Numerische Mathematik, 2005
• Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods
  SIAM Review, 2005
• Uniform boundary controllability of a semi-discrete 1-D wave equation
  Numerische Mathematik, 2002
• The Riesz basis property of discrete operators and application to a Euler-Bernoulli beam equation with boundary linear feedback control
  IMA Journal of Mathematical Control and Information, 2001
• Boundary observability for the finite-difference space semi-discretizations of the 2-d wave equation in the square
  Journal de Mathématiques Pures et Appliquées, 1999
• Boundary observability for the space semi-discretizations of the 1 – d wave equation
  ESAIM: Mathematical Modelling and Numerical Analysis, 1999
• A mixed finite element formulation for the boundary controllability of the wave equation
  International Journal for Numerical Methods in Engineering, 1989
• Modeling, Stabilization and Control of Serially Connected Beams
  SIAM Journal on Control and Optimization, 1987