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Simultaneous Exact Control of Quasi-Electrostatic Piezoelectric Systems in Multilayered Media |
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| Authors: | B. Kapitonov G. Perla Menzala |
| Affiliation: | (1) Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, Novosibirsk, Russia;(2) National Laboratory of Scientific Computation LNCC/MCT, Rua Getulio Vargas 333, Quitandinha, Petropolis, 25651-070, RJ, Brasil;(3) Institute of Mathematics, Federal University of Rio de Janeiro, RJ, P.O. 68530, Rio de Janeiro, RJ, Brasil |
| Abstract: | 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. |
| Keywords: | distributed systems boundary observation transmission conditions exact controllability |
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