Stabilization of a nonlinear Kirchhoff equation by boundary feedback control

DOI10.1007/s10665-012-9547-zzbMath1276.93066OpenAlexW2037988806MaRDI QIDQ383504

Daewook Kim, Il Hyo Jung, Yong Han Kang, Jae Bong Lee, Gyu Ra Ko

Publication date: 4 December 2013

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-012-9547-z

zbMATH Keywords

stabilityboundary controlnonlinearityaxially moving stringKirchhoff string

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Strings (74K05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (7)

Uniform stabilization of an axially moving Kirchhoff string by a boundary control of memory type ⋮ Global existence and uniform decay rates for the semi-linear wave equation with damping and source terms ⋮ Adaptive stabilization of a Kirchhoff moving string ⋮ On global adaptive stabilization of a Kirchhoff moving string with variable density ⋮ Existence and stabilization of a Kirchhoff moving string with a distributed delay in the boundary feedback ⋮ Existence and stabilization of a Kirchhoff moving string with a delay in the boundary or in the internal feedback ⋮ State-constrained optimal control problems governed by coupled nonlinear wave equations with memory

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