Nonlinear boundary stabilization of parallelly connected Kirchhoff plates

DOI10.1007/BF02169489zbMath0854.93119MaRDI QIDQ1918358

Mary Ann Horn, Irena Lasiecka

Publication date: 22 January 1997

Published in: Dynamics and Control (Search for Journal in Brave)

zbMATH Keywords

uniform decayboundary dissipationKirchhoff platesnonlinear boundary stabilizationnonlinearly coupled equationsparallelly connected Kirchhoff plates

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Plates (74K20)

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A new method to obtain decay rate estimates for dissipative systems ⋮ Energy decay estimate for the boundary stabilization of the coupled wave equations ⋮ An overview of modelling challenges for a nonlinear plate-beam model

Cites Work

• Unnamed Item
• Sharp trace estimates of solutions to Kirchhoff and Euler-Bernoulli equations
• Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
• Global stabilization of a dynamic von Kármán plate with nonlinear boundary feedback
• Wellposedness and regularity of second order abstract equations arising in hyperbolic-like problems with nonlinear boundary conditions
• Rapid Boundary Stabilization of the Wave Equation
• Existence and uniqueness of the solutions to second order abstract equations with nonlinear and nonmonotone boundary conditions
• Stabilizability of coupled wave equations in parallel under various boundary conditions
• Stabilization of Kirchhoff plate equation in star-shaped domain by nonlinear boundary feedback