Stabilization and optimal decay rate for a non-homogeneous rotating body-beam with dynamic boundary controls

DOI10.1016/j.jmaa.2005.06.003zbMath1114.93078OpenAlexW2126435138MaRDI QIDQ2488784

Boumediène Chentouf, Jun-Min Wang

Publication date: 16 May 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.06.003

zbMATH Keywords

Riesz basisexponential stabilityspectral analysisdynamic boundary controlrotating body-beamnon-homogeneous coefficientsfrequency multiplier method

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stabilization of systems by feedback (93D15)

Related Items (18)

Improved results on the nonlinear feedback stabilisation of a rotating body-beam system ⋮ Stabilization of memory type for a rotating disk-beam system ⋮ Effect compensation of the presence of a time-dependent interior delay on the stabilization of the rotating disk-beam system ⋮ Stability of an interconnected Schrödinger-heat system in a torus region ⋮ Stabilization of a non-homogeneous rotating body-beam system with the torque and nonlinear distributed controls ⋮ Non-collocated boundary control for contact-force control of a one-link flexible arm ⋮ Exponential stabilization of a flexible structure: a delayed boundary force control versus a delayed boundary moment control ⋮ On the elimination of infinite memory effects on the stability of a nonlinear non-homogeneous rotating body-beam system ⋮ Stabilization of a uniform rotating disk-beam-mass system with boundary input disturbance ⋮ Riesz basis and exponential stability of a variable coefficients rotating disk-beam-mass system ⋮ The active disturbance rejection control of the rotating disk–beam system with boundary input disturbances ⋮ Exponential stability of a non-homogeneous rotating disk-beam-mass system ⋮ Exponential stabilization of a non-uniform rotating disk-beam system via a torque control and a finite memory type dynamic boundary control ⋮ Stabilization of the rotating disk-beam system with a delay term in boundary feedback ⋮ Stabilization of a Rotating Disk-Beam System with Infinite Memory via Minimal State Variable: A Moment Control Case ⋮ Force control and exponential stabilisation of one-link flexible arm ⋮ Modelling and stabilization of a nonlinear hybrid system of elasticity ⋮ Boundary control of a vertical nonlinear flexible manipulator considering disturbance observer and deflection constraint with torque and boundary force feedback signals

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