Effectiveness and Robustness with Respect to Time Delays of Boundary Feedback Stabilization in One-Dimensional Viscoelasticity

DOI10.1137/0326066zbMath0655.93056OpenAlexW2170189746MaRDI QIDQ3802992

Robert L. Wheeler, Kenneth B. Hannsgen, Yuriko Yamamuro Renardy

Publication date: 1988

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0326066

zbMATH Keywords

time delays boundary feedback stabilization torsional vibration Green function representaion homogeneous viscoelastic rod linear Boltzmann model

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Stabilization of systems by feedback (93D15) Integro-partial differential equations (45K05) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (11)

Coupled elastic and viscoelastic rods ⋮ The long time error estimates for the second order backward difference approximation to sub-diffusion equations with boundary time delay and feedback gain ⋮ EXPONENTIAL DECAY FOR A NEUTRAL WAVE EQUATION ⋮ Viscoelastic and boundary feedback damping: Precise energy decay rates when creep modes are dominant ⋮ Exponential stabilization of a neutrally delayed viscoelastic Timoshenko beam ⋮ Bibliography on robust control ⋮ PDEs with distributed control and delay in the loop: Transfer function poles, exponential modes and robustness of stability ⋮ The effect of small time-delays on the closed-loop stability of boundary control systems ⋮ Passive boundary damping of viscoelastic structures ⋮ Singular Relaxation Moduli and Smoothing in Three-Dimensional Viscoelasticity ⋮ Optimal stability for a viscoelastic neutral differential problem

This page was built for publication: Effectiveness and Robustness with Respect to Time Delays of Boundary Feedback Stabilization in One-Dimensional Viscoelasticity