Asymptotic stability of the Euler-Bernoulli beam with boundary control

DOI10.1016/0022-247X(89)90289-8zbMath0673.73044MaRDI QIDQ1121070

Allan M. Krall

Publication date: 1989

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

zbMATH Keywords

clamped at one enduniformly, exponentially stable

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Asymptotic stability in control theory (93D20)

Related Items (8)

Eigenfrequencies of the three-dimensional Euler-Bernoulli beam system with dissipative joints ⋮ Control of a viscoelastic translational Euler-Bernoulli beam ⋮ Exponential stability of damped Euler-Bernoulli beam controlled by boundary springs and dampers ⋮ Stabilisation uniforme d'une équation des poutres d'Euler-Bernoulli. (Uniform stabilization of an Euler-Bernoulli beam equation). ⋮ On initial conditions for a boundary stabilized hybrid Euler-Bernoulli beam ⋮ Lyapunov functions and the control of the Euler-Bernoulli beam ⋮ VIBRATION CONTROL OF A VISCOELASTIC FLEXIBLE MARINE RISER WITH VESSEL DYNAMICS ⋮ On the exponential decay of the Euler-Bernoulli beam with boundary energy dissipation

Cites Work

• Modeling, Stabilization and Control of Serially Connected Beams
• General Boundary Conditions for an Ordinary Linear Differential System
• The Expansion Problem with Boundary Conditions at a Finite Set of Points
• The Boundary Problem of an Ordinary Linear Differential System in the Complex Domain

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