Simultaneous exact control of piezoelectric systems in multilayered media

Kapitonov, Boris V.; Raupp, Marco Antonio

doi:10.1590/s0101-82052003000200006

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2006

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“…We can mention the work of B. Kapitonov [3][4][5], B. Kapitonov and M.A. Raupp [6] and F. Khodja and A. Bader [10] among many others. In our previous work (B. Kapitonov, B. Miara and G. Perla Menzala, [7] and [8]) we considered the stabilization problem of a layered piezoelectric 3-D body by boundary dissipation and in [7] we obtained a boundary observation inequality in order to study the exact controllability problem of a quasielectrostatic piezoelectric system.…”

Section: Hypothesismentioning

confidence: 99%

Simultaneous Exact Control of Quasi-Electrostatic Piezoelectric Systems in Multilayered Media

Kapitonov

Menzala

2006

Acta Appl Math

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We consider two quasi-electrostatic models in a multilayered piezoelectric structure. Both models only differ on the boundary conditions. For each one of them we prove a boundary observability inequality which together with the Hilbert Uniqueness Method introduced by J.L. Lions allow us to drive both systems to rest at time T with the same control function. We require suitable geometric conditions on the region and the interfaces as well as monotonicity assumptions on the coefficients of the model.

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