S. Alessandroni, F. Porfiri, and M. , A revival of electric analogs for vibrating mechanical systems aimed to their efficient control by PZT transducers, Int J Solids Struct, vol.39, issue.20, pp.5279-93, 2002.

U. Andreaus, F. Porfiri, and M. , Piezoelectric Passive Distributed Controllers for Beam Flexural Vibrations, Journal of Vibration and Control, vol.10, issue.5, pp.625-61, 2004.
DOI : 10.1177/1077546304038224
URL : https://hal.archives-ouvertes.fr/hal-00498237

E. Canon and M. Lenczner, Modelling of thin elastic plates with small piezoelectric inclusions and distributed electronic circuit. Models for inclusion that are small with respect to the thickness of the plate, Journal of Elasticity, vol.55, issue.2, pp.111-152, 1999.
DOI : 10.1023/A:1007609122248

I. Chopra, Review of state-of-art of smart structures and integrated systems, 19th AIAA Applied Aerodynamics Conference, pp.2145-87, 2002.
DOI : 10.2514/6.2001-0

E. Crawley and J. De-luis, Use of piezoelectric actuators as elements of intelligent structures, AIAA Journal, vol.25, issue.10, pp.1373-85, 1987.
DOI : 10.2514/3.9792

F. Dellõisola, M. Porfiri, and S. Vidoli, Piezo-ElectroMechanical (PEM) structures: passive vibration control using distributed piezoelectric transducers, Comptes Rendus M??canique, vol.331, issue.1, pp.69-76, 2003.
DOI : 10.1016/S1631-0721(03)00022-6
URL : https://hal.archives-ouvertes.fr/hal-00496223

F. Dellõisola, C. Maurini, and M. Porfiri, Passive damping of beam vibrations through distributed electric networks and piezoelectric transducers: prototype design and experimental validation, Smart Materials and Structures, vol.13, issue.2, pp.299-308, 2004.
DOI : 10.1088/0964-1726/13/2/008
URL : https://hal.archives-ouvertes.fr/hal-00496593

A. Fernandes and J. Pouget, An accurate modelling of piezoelectric multi-layer plates, European Journal of Mechanics - A/Solids, vol.21, issue.4, pp.629-51, 2002.
DOI : 10.1016/S0997-7538(02)01224-X

M. Forray, Variational calculus in science and engineering, 1968.

R. Forward and G. Swigert, Electronic damping of orthogonal bending modes in a cylindrical mast-theory, J Spacecraft Rockets, vol.18, pp.5-10, 1981.

N. Hagood, V. Flotow, and A. , Damping of structural vibrations with piezoelectric materials and passive electrical networks, Journal of Sound and Vibration, vol.146, issue.2, pp.243-368, 1991.
DOI : 10.1016/0022-460X(91)90762-9

J. Han, K. Rew, and I. Lee, An experimental study of active vibration control of composite structures with a piezo-ceramic actuator and a piezo-film sensor, Smart Materials and Structures, vol.6, issue.5, pp.549-58, 1997.
DOI : 10.1088/0964-1726/6/5/006

S. Hanagud, M. Obal, and A. Calise, Optimal vibration control by the use of piezoceramic sensors and actuators, Journal of Guidance, Control, and Dynamics, vol.15, issue.5, pp.1199-206, 1992.
DOI : 10.2514/3.20969

K. Hoffmann and N. Botkin, Homogenization of von K??rm??n Plates Excited by Piezoelectric Patches, ZAMM, vol.80, issue.9, pp.579-90, 2000.
DOI : 10.1002/1521-4001(200009)80:9<579::AID-ZAMM579>3.0.CO;2-2

T. Ikeda, Fundamentals of piezoelectricity, 1990.

T. Jordan and Z. Ounaies, Piezoelectric ceramics characterization, CASE Report, 2001.

M. Kader, M. Lenczner, and Z. Mrcarica, Distributed control based on distributed electronic circuits: application to vibration control, Microelectronics Reliability, vol.41, issue.11, pp.1857-66, 2001.
DOI : 10.1016/S0026-2714(01)00038-5

G. Kron, Numerical Solution of Ordinary and Partial Differential Equations by Means of Equivalent Circuits, Journal of Applied Physics, vol.16, issue.3, pp.172-86, 1945.
DOI : 10.1063/1.1707568

C. Maurini, F. , D. Vescovo, and D. , Comparison of piezoelectronic networks acting as distributed vibration absorbers, Mechanical Systems and Signal Processing, vol.18, issue.5, pp.1243-71, 2004.
DOI : 10.1016/S0888-3270(03)00082-7
URL : https://hal.archives-ouvertes.fr/hal-00502098

C. Maurini and J. Pouget, On a model of layered piezoelectric beams including transverse stress effect, International Journal of Solids and Structures, vol.41, issue.16-17, pp.9-104473, 2004.
DOI : 10.1016/j.ijsolstr.2004.03.002
URL : https://hal.archives-ouvertes.fr/hal-00503237

C. Molloy, Four Pole parameters in vibration analysis in mechanical impedance methods for mechanical vibrations Colloquium on mechanical impedance methods for mechanical vibrations presented at the ASME annual meeting, sponsored by Shock And Vibrating Committee Applied Mechanics Division, 1958.

J. Strikwerda, Finite difference schemes and partial differential equations, 1989.

K. Sze, X. Yang, and H. Fan, Electric assumptions for piezoelectric laminate analysis, International Journal of Solids and Structures, vol.41, issue.9-10, pp.9-102363, 2004.
DOI : 10.1016/j.ijsolstr.2003.11.018

S. Vidoli, Modal coupling in one-dimensional electromechanical structured continua, Acta Mechanica, vol.35, issue.1-2, pp.37-50, 2000.
DOI : 10.1007/BF01176806
URL : https://hal.archives-ouvertes.fr/hal-00501520

S. Vidoli, Vibration control in plates by uniformly distributed PZT actuators interconnected via electric networks, European Journal of Mechanics - A/Solids, vol.20, issue.3, pp.435-56, 2001.
DOI : 10.1016/S0997-7538(01)01144-5
URL : https://hal.archives-ouvertes.fr/hal-00496588

K. Zhou, J. Doyle, and K. Glover, Robust and optimal control, 1996.