Regularity and Exact Controllability for a Beam with Piezoelectric Actuator

DOI10.1137/S0363012994265468zbMath0853.73051MaRDI QIDQ4883649

Marius Tucsnak

Publication date: 12 September 1996

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

zbMATH Keywords

Hilbert uniqueness methoddiophantine approximationSobolev regularityBernoulli-Euler beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control, switches and devices (``smart materials) in solid mechanics (74M05) Controllability (93B05) Control/observation systems governed by partial differential equations (93C20)

Related Items (12)

Exact controllability of a piezoelectric body. Theory and numerical simulation ⋮ A generalized interpolation inequality and its application to the stabilization of damped equations ⋮ On the simplicity of eigenvalues of two nonhomogeneous Euler-Bernoulli beams connected by a point mass ⋮ Feedback stabilization of a class of evolution equations with delay ⋮ Stabilization of a Rayleigh beam with collocated piezoelectric sensor/actuator ⋮ Reachable states for infinite-dimensional linear systems: old and new ⋮ Stabilization of second order evolution equations by a class of unbounded feedbacks ⋮ Further stabilization and exact observability results for voltage-actuated piezoelectric beams with magnetic effects ⋮ Output feedback stabilization of a clamped-free beam ⋮ On controllability of an elastic ring ⋮ On well-posedness for some thermo-piezoelectric coupling models ⋮ Control of a clamped-free beam by a piezoelectric actuator

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