On boundary feedback stabilization of a viscoelastic membrane

DOI10.1080/02681118908806063zbMath0681.93051OpenAlexW1994264212MaRDI QIDQ4731106

Günter R. Leugering

Publication date: 1989

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681118908806063

zbMATH Keywords

viscoelastic membraneBoltzmann's lawweak viscoelastic damping

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Linear constitutive equations for materials with memory (74D05) Nonlinear constitutive equations for materials with memory (74D10)

Related Items (3)

The exponential stabilization of the higher-dimensional linear system of thermoviscoelasticity ⋮ Energy decay and global attractors for thermoviscoelastic systems ⋮ Stabilization of structurally damped systems by time-delayed feedback control

Cites Work

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• Positivity and regularity of hyperbolic Volterra equations in Banach spaces
• Exponential stabilization of Volterra integrodifferential equations in Hilbert space
• Asymptotic behavior for a linear Volterra integral equation in Hilbert space
• An abstract Volterra equation with applications to linear viscoelasticity
• Asymptotic stability in viscoelasticity
• Exponential stability for a nonlinear functional differential equation
• Rate of decay of solutions of Volterra equations
• A model for one-dimensional, nonlinear viscoelasticity
• Uniform Asymptotic Stability of Evolutionary Processes in a Banach Space

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