Note on the stabilization of a vibrating string via a switching time-delay boundary control: a theoretical and numerical study
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Publication:6067533
DOI10.1007/s40324-022-00315-zzbMath1529.35043OpenAlexW4307127121MaRDI QIDQ6067533
Kaïs Ammari, Nejib Smaoui, Boumediène Chentouf
Publication date: 14 December 2023
Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40324-022-00315-z
exponential stabilityvibrating stringone-dimensional wave equationnumerical boundary stabilization with time-delayswitching time-delay
Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Asymptotic stability in control theory (93D20) Strings (74K05)
Cites Work
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- Feedback stabilization of a class of evolution equations with delay
- An example for the switching delay feedback stabilization of an infinite dimensional system: the boundary stabilization of a string
- Boundary control, quiet boundaries, super-stability and super-instability
- Feedback boundary stabilization of wave equations with interior delay
- Representation and control of infinite dimensional systems. Volume I
- Noncollocated point control of nondispersive distributed-parameter systems using time delays
- On the longitudinal vibrations of a bar with viscous boundaries: super-stability, super-instability, and loss of damping
- Asymptotic behavior of a delayed wave equation without displacement term
- On the exponential and polynomial convergence for a delayed wave equation without displacement
- Application of nonlocal continuum theory to the primary resonance analysis of an axially loaded nano beam under time delay control
- Stabilization by switching time-delay
- Wave Equation Stabilization by Delays Equal to Even Multiples of the Wave Propagation Time
- Output feedback stabilization of a one-dimensional wave equation with an arbitrary time delay in boundary observation
- Boundary feedback stabilization by time delay for one-dimensional wave equations
- Stabilization of second order evolution equations with unbounded feedback with delay
- Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
- Admissible Input Elements for Systems in Hilbert Space and a Carleson Measure Criterion
- A modified Smith predictor and controller for unstable processes with time delay
- An Example on the Effect of Time Delays in Boundary Feedback Stabilization of Wave Equations
- Not All Feedback Stabilized Hyperbolic Systems are Robust with Respect to Small Time Delays in Their Feedbacks
- Control and Stabilization for the Wave Equation in a Bounded Domain, Part II
- Two examples of ill-posedness with respect to time delays revisited
- Two Approaches for the Stabilization of Nonlinear KdV Equation With Boundary Time-Delay Feedback
- Backstepping Boundary Control of a Wave PDE With Spatially Distributed Time Invariant Unknown Disturbances
- Asymptotic behavior of a 2D overhead crane with input delays in the boundary control
