A novel semi-discrete scheme preserving uniformly exponential stability for an Euler-Bernoulli beam
From MaRDI portal
Publication:2278527
DOI10.1016/J.SYSCONLE.2019.104518zbMath1428.93090OpenAlexW2972822468WikidataQ115566764 ScholiaQ115566764MaRDI QIDQ2278527
Publication date: 5 December 2019
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.sysconle.2019.104518
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic stability in control theory (93D20) Finite volume methods applied to problems in solid mechanics (74S10)
Related Items (7)
Order reduction-based uniform approximation of exponential stability for one-dimensional Schrödinger equation ⋮ Uniformly exponential stability of semi-discrete scheme for a vibration cable with a tip mass under observer-based feedback control ⋮ A novel sensor design for a cantilevered Mead-Marcus-type sandwich beam model by the order-reduction technique ⋮ Uniformly exponentially stable approximations for Timoshenko beams ⋮ Uniformly semidiscretized approximation for exact observability and controllability of one-dimensional Euler-Bernoulli beam ⋮ State reconstruction of the wave equation with general viscosity and non-collocated observation and control ⋮ Uniform exponential stability of semi-discrete scheme for observer-based control of 1-D wave equation
Cites Work
- Unnamed Item
- Unnamed Item
- Uniform boundary stabilization for the finite difference discretization of the 1-D wave equation
- Boundary controllability of a linear semi-discrete 1-D wave equation derived from a mixed finite element method
- A finite difference scheme for solving the Timoshenko beam equations with boundary feedback
- Uniform boundary stabilization of the finite difference space discretization of the 1-D wave equation
- Uniformly exponentially stable approximations for a class of damped systems
- Boundary observability for the finite-difference space semi-discretizations of the 2-D wave equation in the square
- Uniform exponential long time decay for the space semi-discretization of a locally damped wave equation via an artificial numerical viscosity
- Uniform boundary controllability of a semi-discrete 1-D wave equation
- Uniform boundary controllability of a discrete 1-D wave equation
- Initial-boundary value problems for an extensible beam
- The Riesz basis property of discrete operators and application to a Euler-Bernoulli beam equation with boundary linear feedback control
- Approximation of the controls for the beam equation with vanishing viscosity
- A mixed finite element formulation for the boundary controllability of the wave equation
- An Ingham type proof for a two-grid observability theorem
- Uniform Boundary Controllability of a Semidiscrete 1-D Wave Equation with Vanishing Viscosity
- Modeling, Stabilization and Control of Serially Connected Beams
- Boundary observability for the space semi-discretizations of the 1 – d wave equation
- Boundary controllability of the finite-difference space semi-discretizations of the beam equation
- Optimal filtration for the approximation of boundary controls for the one-dimensional wave equation using a finite-difference method
- Numerical meshes ensuring uniform observability of one-dimensional waves: construction and analysis
- Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods
- Boundary Controllability for Finite-Differences Semidiscretizations of a Clamped Beam Equation
- Uniformly exponentially stable approximations for a class of second order evolution equations
This page was built for publication: A novel semi-discrete scheme preserving uniformly exponential stability for an Euler-Bernoulli beam
