Boundary stabilization of hyperbolic systems related to overhead cranes

DOI10.1093/IMAMCI/DNM031zbMath1163.93030OpenAlexW1987753783MaRDI QIDQ3529409

Hideki Sano

Publication date: 9 October 2008

Published in: IMA Journal of Mathematical Control and Information (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamci/dnm031

zbMATH Keywords

asymptotic stabilityboundary stabilizationhyperbolic systemLaSalle's invariance principleoverhead crane

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Asymptotic stability in control theory (93D20) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (7)

Boundary stabilization of a flexible structure with dynamic boundary conditions via one time-dependent delayed boundary control ⋮ Feedback controller stabilizing vibrations of a flexible cable related to an overhead crane ⋮ Asymptotic behavior of a 2D overhead crane with input delays in the boundary control ⋮ Adaptive stabilization for a class of PDE-ODE cascade systems with uncertain harmonic disturbances ⋮ Adaptive output-feedback stabilisation for hybrid PDE–ODE systems with uncertain input disturbances ⋮ On the exponential stabilization of a flexible structure with dynamic delayed boundary conditions via one boundary control only ⋮ On the stabilization of a flexible structure via a nonlinear delayed boundary control

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