Exact controllability of a 3D piezoelectric body

DOI10.1016/j.crma.2008.12.007zbMath1175.35147OpenAlexW2041436523MaRDI QIDQ1004549

Bernadette Miara, Irena Lasiecka

Publication date: 11 March 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2008.12.007

zbMATH Keywords

controllabilitypiezoelectric bodyevolution problem

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Controllability (93B05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (6)

Uniform boundary observability of Finite Difference approximations of non-compactly coupled piezoelectric beam equations ⋮ Longtime dynamics for a novel piezoelectric beam model with creep and thermo-viscoelastic effects ⋮ Global well-posedness and exponential decay of fully dynamic and electrostatic or quasi-static piezoelectric beams subject to a neutral delay ⋮ Stabilization results of a piezoelectric beams with partial viscous dampings and under Lorenz gauge condition ⋮ New general decay results for a fully dynamic piezoelectric beam system with fractional delays under memory boundary controls ⋮ Uniform stabilization of a thermo piezoelectric/piezomagnetic model

Cites Work

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• Exact controllability of a piezoelectric body. Theory and numerical simulation
• Exact controllability of the wave equation with Neumann boundary control
• Contrôlabilité d'un corps piézoélectrique
• Mathematical Control Theory of Coupled PDEs
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
• Sharp regularity theory for elastic and thermoelastic Kirchhoff equations with free boundary conditions

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