Energy Decay Problems in the Design of a Point Stabilizer for Coupled String Vibrating Systems
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Publication:3813715
DOI10.1137/0326076zbMath0662.93054OpenAlexW2082001477MaRDI QIDQ3813715
Publication date: 1988
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0326076
Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Vibrations in dynamical problems in solid mechanics (74H45) Estimates of eigenvalues in context of PDEs (35P15) Wave equation (35L05) Strings (74K05)
Related Items (14)
On the stability of a star-shaped network of variable coefficients strings under joint damping ⋮ Exponential stability of two strings under joint damping with variable coefficients ⋮ Robust output regulation of four strings based on coupled exosystem observers ⋮ Stabilisation of an anti-stable joint string with boundary disturbance ⋮ Observer‐based robust control for N‐coupled wave equations ⋮ Stabilization of a \(2 \times 2\) system of hyperbolic PDEs with recirculation in the unactuated channel ⋮ Eliciting harmonics on strings ⋮ Uniform Stabilization of 1-D Coupled Wave Equations with Anti-dampings and Joint Delayed Control ⋮ Arbitrary decay rate for two connected strings with joint anti-damping by boundary output feedback ⋮ On the asymptotic behaviour of two coupled strings through a fractional joint damper ⋮ Optimal boundary control of one-dimensional multi-span vibrating systems ⋮ About the stability to Timoshenko system with pointwise dissipation ⋮ Spectrum of a non-selfadjoint quantum star graph ⋮ A Solution Method for Boundary Control of One-Dimensional Multispan Vibrating Systems
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