Boundary control, quiet boundaries, super-stability and super-instability
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Publication:556048
DOI10.1016/J.AMC.2004.06.040zbMath1076.93023OpenAlexW2149058494MaRDI QIDQ556048
Publication date: 13 June 2005
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2004.06.040
Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Frequency-response methods in control theory (93C80) Wave equation (35L05)
Related Items (11)
On the longitudinal vibrations of a bar with viscous boundaries: super-stability, super-instability, and loss of damping ⋮ Trajectory Tracking and Vibration Suppression for General Spatial Motion of a Flexible Plate via Two-time Scale and Boundary Control Methods ⋮ Explicit solution for a vibrating bar with viscous boundaries and internal damper ⋮ A Fourier series solution for the longitudinal vibrations of a bar with viscous boundary conditions at each end ⋮ Note on the stabilization of a vibrating string via a switching time-delay boundary control: a theoretical and numerical study ⋮ Stabilization of a one-dimensional dam-river system: nondissipative and noncollocated case ⋮ Perturbations of superstable linear hyperbolic systems ⋮ D'Alembert sums for a vibrating bar with viscous ends ⋮ Further results on the long-time behavior of a 2D overhead crane with a boundary delay: exponential convergence ⋮ Finite Time Stabilization of Nonautonomous First-Order Hyperbolic Systems ⋮ Exponential-stability and super-stability of a thermoelastic system of type II with boundary damping
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