Controllability and stabilizability of vibrating simply supported plate with pointwise control

DOI10.1016/0196-8858(89)90017-1zbMath0691.73039OpenAlexW1977022924MaRDI QIDQ582968

Yun-Cheng You

Publication date: 1989

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(89)90017-1

zbMATH Keywords

sensitivitynecessary and sufficient conditiondiophantine equationsspectrum analysisevolutionary systemfinite-rank controllerspointwiserectangular simply supported platesemigroup extension approachsquared length-width-ratiotwo-dimensional problem

Mathematics Subject Classification ID

Controllability (93B05) Stabilization of systems by feedback (93D15) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Thin bodies, structures (74K99)

Related Items (3)

Stabilization of second order evolution equations by unbounded nonlinear feedback ⋮ Exact internal controllability of a one-dimensional aeroelastic plate ⋮ Pointwise boundary stabilizability of hyperbolic evolution equations: Two-dimensional hybrid elastic structures

Cites Work

• On boundary controllability of a vibrating plate
• A Note on Weak Stabilizability of Contraction Semigroups
• Nonharmonic fourier series and the stabilization of distributed semi-linear control systems
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