Uniform exponential stability of semi-discrete scheme for observer-based control of 1-D wave equation
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Publication:2086975
DOI10.1016/j.sysconle.2022.105346zbMath1501.93123OpenAlexW4290976915WikidataQ113863387 ScholiaQ113863387MaRDI QIDQ2086975
Publication date: 26 October 2022
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.sysconle.2022.105346
Control/observation systems governed by partial differential equations (93C20) Wave equation (35L05) Exponential stability (93D23) Observers (93B53)
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Cites Work
- Boundary controllability of a linear semi-discrete 1-D wave equation derived from a mixed finite element method
- Uniform boundary stabilization of the finite difference space discretization of the 1-D wave equation
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- Uniform exponential long time decay for the space semi-discretization of a locally damped wave equation via an artificial numerical viscosity
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- Uniformly semidiscretized approximation for exact observability and controllability of one-dimensional Euler-Bernoulli beam
- A novel semi-discrete scheme preserving uniformly exponential stability for an Euler-Bernoulli beam
- Uniform boundary controllability of a discrete 1-D wave equation
- Initial-boundary value problems for an extensible beam
- Order reduction-based uniform approximation of exponential stability for one-dimensional Schrödinger equation
- Uniform controllability of the linear one dimensional Schrödinger 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
- Boundary observability for the space semi-discretizations of the 1 – d wave equation
- A New Semidiscretized Order Reduction Finite Difference Scheme for Uniform Approximation of One-Dimensional Wave Equation
- Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods
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