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24 April 2003 Observability, exact controllability, and stabilization of piezoelectric medium coupled to electronic systems
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Abstract
In this work we obtain some boundary observability inequalities with Dirichlet boundary conditions on displacement vector and an excat controllability of a coupled electro-mechanical system with coefficients depending on both space and time variables. Let us mention that some results on modeling of such coupled systems have been derived by Senouci-Bereksi and Hoffmann for piezoelectric plates and electrical networks and junctions and Senouci-Bereksi and Lenczner for piezoelectric shells coupled to some active electronic networks under different configurations. Some results on observability and exact controllability for general elastic systems with constant coefficients not depending in time, have been obtained by Alabau and Komornik. To our knowledge this work seems to be new and very interesting for researchers working on smart materials and systems investigations.
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Ghouti Senouci-Bereksi and Abdelatif Benchaib "Observability, exact controllability, and stabilization of piezoelectric medium coupled to electronic systems", Proc. SPIE 5116, Smart Sensors, Actuators, and MEMS, (24 April 2003); https://doi.org/10.1117/12.498953
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