Exact boundary controllability of vibrating non-classical Euler-Bernoulli micro-scale beams

DOI10.1016/j.jmaa.2014.03.012zbMath1303.93043OpenAlexW1972893285MaRDI QIDQ488543

Ali Najafi, Aria Alasty, Hassan Salarieh, Ramin Vatankhah

Publication date: 26 January 2015

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.2014.03.012

zbMATH Keywords

vibration controlexact boundary controllabilitynon-classical micro-beamPDE model

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Controllability (93B05) PDEs in connection with control and optimization (35Q93)

Related Items (7)

A geometrically nonlinear beam model based on the second strain gradient theory ⋮ Energy decay of a microbeam model with a locally distributed nonlinear feedback control ⋮ Stabilization of a microbeam model with distributed disturbance ⋮ Output feedback control of piezoelectrically actuated non-classical micro-beams using T-S fuzzy model ⋮ Observer-based vibration control of non-classical microcantilevers using extended Kalman filters ⋮ Exact boundary controllability of a microbeam model ⋮ Terminal sliding mode control with non-symmetric input saturation for vibration suppression of electrostatically actuated nanobeams in the presence of Casimir force

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear microbeam model based on strain gradient theory
• Static and dynamic analysis of micro beams based on strain gradient elasticity theory
• Asymptotic stabilization of vibrating composite plates
• Semigroups of linear operators and applications to partial differential equations
• Experiments and theory in strain gradient elasticity.
• Exact boundary controllability of two Euler-Bernoulli beams connected by a point mass
• Boundary stabilization of non-classical micro-scale beams
• Nonlinear forced vibration of strain gradient microbeams
• Spectral properties of non-homogeneous Timoshenko beam and its rest-to-rest controllability
• Control of a network of Euler-Bernoulli beams
• On controllability of a rotating string
• Exact boundary controllability results for a Rao-Nakra sandwich beam
• Control of a clamped-free beam by a piezoelectric actuator
• Boundary Control of PDEs
• Exact Controllability, Stabilization and Perturbations for Distributed Systems
• Arbitrary Decay Rate for Euler-Bernoulli Beam by Backstepping Boundary Feedback
• Controllability of the Kirchhoff System for Beams as a Limit of the Mindlin–Timoshenko System
• Trajectory Tracking and Vibration Suppression for General Spatial Motion of a Flexible Plate via Two-time Scale and Boundary Control Methods

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