. Ba?ar, . Bernhard, T. Ba?ar, and P. Et-bernhard, H ? Optimal Control and Related Minimax Design Problems : A Dynamic Game Approach, Systems & Control : Foundations & Applications. Birkhäuser, 1991.
DOI : 10.1007/978-0-8176-4757-5

. Ba?ar, . Bernhard, T. Ba?ar, and P. Et-bernhard, H ? Optimal Control and Related Minimax Design Problems : A Dynamic Game Approach. Modern Birkhäuser Classics, Birkhäuser Boston Inc, 2008.
DOI : 10.1007/978-0-8176-4757-5

. Balas, Robust control toolbox TM : Getting started guide, 2012.

N. Basu, B. Basu, and S. Et-nagarajaiah, A wavelet-based time-varying adaptive LQR algorithm for structural control, Engineering Structures, vol.30, issue.9, pp.2470-2477, 2008.
DOI : 10.1016/j.engstruct.2008.01.011

D. M. Boore, Simulation of Ground Motion Using the Stochastic Method, Pure and Applied Geophysics, vol.160, issue.3, pp.635-676, 2003.
DOI : 10.1007/PL00012553

. Boudreaux-bartels and G. F. Boudreaux-bartels, Time-frequency signal processing algorithms : Analysis and synthesis using Wigner distributions, Thèse de doctorat, 1983.

. Braverman, Evaluation of the seismic design criteria in ASCE/SEI standard 43-05 for application to nuclear power plants, 2007.

W. L. Brogan, Modern Control Theory, 1991.

. Bruni, Bilinear systems: An appealing class of "nearly linear" systems in theory and applications, IEEE Transactions on Automatic Control, vol.19, issue.4, pp.334-348, 1974.
DOI : 10.1109/TAC.1974.1100617

. Budreaux-bartels, . Parks, G. F. Budreaux-bartels, and T. W. Et-parks, Time-varying filtering and signal estimation using Wigner distribution synthesis techniques, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.34, issue.3, pp.442-451, 1986.
DOI : 10.1109/TASSP.1986.1164833

N. D. Cartwright, A non-negative Wigner-type distribution, Physica A: Statistical Mechanics and its Applications, vol.83, issue.1, pp.210-212, 1976.
DOI : 10.1016/0378-4371(76)90145-X

. Choi, Seismic protection of base-isolated building with nonlinear isolation system using smart passive control strategy, Structural Control and Health Monitoring, vol.16, issue.2-3, pp.785-796, 2008.
DOI : 10.1002/stc.267

L. Choi, S. Choi, and S. Et-lee, A HYSTERESIS MODEL FOR THE FIELD-DEPENDENT DAMPING FORCE OF A MAGNETORHEOLOGICAL DAMPER, Journal of Sound and Vibration, vol.245, issue.2, pp.375-383, 2001.
DOI : 10.1006/jsvi.2000.3539

A. K. Chopra, Dynamics of Structures : Theory and Applications to Earthquake Engineering, 2007.

L. Cohen, Time-frequency distributions-a review, Proc. of the IEEE, pp.941-981, 1989.
DOI : 10.1109/5.30749

L. Cohen, Time-Frequency Analysis, 1995.

. Colaneri, Control Theory and Design : An RH 2 and RH ? viewpoint, 1997.

M. C. Constantinou and M. D. Et-symans, Experimental and analytical investigation of seismic response of structures with supplemental fluid viscous dampers, Constantinou et Symans, 1992.

C. Et-leitmann, M. J. Corless, and G. Et-leitmann, Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems, IEEE Trans. Automat. Contr., AC, issue.3, pp.261139-1144, 1981.

G. Costa and . Saclay, Contrôle actif et semi-actif des structures sous sollicitations sismiques, 2010.

B. N. Datta, Numerical linear algebra and applications, SIAM, 2010.
DOI : 10.1137/1.9780898717655

T. Glad and L. Et-ljung, Control Theory : Multivariable and Nonlinear Methods, 2000.

. Grasso, Critical issues of seismic early warning systems for structural control, Proc. 9th Int. Conf. Structural Safety and Reliability, 2005.

K. Gröchenig, Foundations of Time-Frequency Analysis, 2001.
DOI : 10.1007/978-1-4612-0003-1

G. Grünthal and . Éditeur, European Macroseismic Scale EMS-98, volume 15 de Conseil de l'Europe, 1998.

H. Gupta, A. K. Gupta, and W. J. Hall, Response Spectrum Method : In Seismic Analysis and Design of Structures, 1990.

S. Gutman, Uncertain dynamical systems--A Lyapunov min-max approach, IEEE Transactions on Automatic Control, vol.24, issue.3, pp.437-443, 1979.
DOI : 10.1109/TAC.1979.1102073

G. Et-leitmann-]-gutman, S. Et-leitmann, and G. , Stabilizing feedback control for dynamical systems with bounded uncertainty, Proc. IEEE Conf. Decison Contr, pp.94-99, 1976.

. Hedrick, . Girard, J. Hedrick, and A. Girard, Nonlinear Dynamic Systems : Theory and Applications. Lecture Notes, 2005.

J. P. Hespanha, Linear Systems Theory, 2009.

F. Hlawatsch, A study of bilinear time-frequency signal representations, with applications to time-frequency signal synthesis, Thèse de doctorat, 1988.

. Hlawatsch, . Auger, F. Hlawatsch, and F. Et-auger, Time- Frequency Analysis. Concepts and Methods. Digital Signal and Image Processing, 2008.

B. Hlawatsch, F. Hlawatsch, and G. F. Et-budreaux-bartels, Linear and quadratic time-frequency signal representations, IEEE Signal Processing Magazine, vol.9, issue.2, pp.21-67, 1992.
DOI : 10.1109/79.127284

D. J. Inman, Engineering vibration, 2001.

D. J. Inman, Vibration with Control, 2006.

. Ionescu, . Lupa?, V. Ionescu, and L. Et-lupa?, Tehnici de calcul in teoria sistemelor, Tehnic?, vol.2, 1974.

A. Isidori, Nonlinear Control Systems. Communications and Control Engng, 1995.

A. Isidori, Nonlinear Control Systems II. Communications and Control Engng, 1999.

. Jansen, . Dyke, L. M. Jansen, and S. J. Et-dyke, Semi-active control strategies for mr dampers : A comparative study, ASCE J. Engng. Mechanics, issue.8, pp.128795-803, 2000.

A. J. Janssen, Positivity of time-frequency distribution functions, Signal Processing, vol.14, issue.3, pp.243-252, 1988.
DOI : 10.1016/0165-1684(88)90079-5

O. Kamigaichi, JMA EARTHQUAKE EARLY WARNING, Journal of JAEE, vol.4, issue.3, pp.134-137, 2004.
DOI : 10.5610/jaee.4.3_134

. Karnopp, Vibration Control Using Semi-Active Force Generators, Journal of Engineering for Industry, vol.96, issue.2, pp.619-626, 1974.
DOI : 10.1115/1.3438373

E. Kausel, Fundamental Solutions in Elastodynamics, 2006.
DOI : 10.1017/CBO9780511546112

J. M. Kelly, Earthquake-resistant design with rubber, 1997.

. Kelly, Robust control of base-isolated structures under earthquake excitation, Journal of Optimization Theory and Applications, vol.26, issue.2, pp.159-180, 1987.
DOI : 10.1007/BF00939213

H. K. Khalil, Nonlinear Systems, 1996.

H. K. Khalil, Nonlinear Systems, 2002.

P. P. Khargonekar, State-Space H ??? Control Theory and the LQG Problem, éditeur : Mathematical system theory, the influence of R.E. Kalman, pp.159-176, 1991.
DOI : 10.1007/978-3-662-08546-2_9

. Koo, A comprehensive analysis of the response time of MR dampers, Smart Materials and Structures, vol.15, issue.2, pp.351-358, 2006.
DOI : 10.1088/0964-1726/15/2/015

E. Kreyszig, Advanced Engineering Mathematics, 2005.

. Kurino, High performance passive hydraulic damper with semi-active characteristics, 13th World Conference on Earthquake Engineering, 2004.

. Lancieri, . Zollo, M. Lancieri, and A. Et-zollo, A bayesian approach to the real-time estimation of magnitude from the early P and S wave displacement peaks, J. Geophysical Research, vol.113, 2008.

A. Langeoire, Données sismiques pour les INB de surface du site de Cadarache. fiche technique DPSN, 2010.

R. G. Larson, The Structure and Rheology of Complex Fluids Topics in Chemical Engineering, 1999.

W. Lay, T. Lay, and T. C. Et-wallace, Modern Global Seismology , volume 58 de International Geophysics, 1995.

L. Kawashima, T. Lee, and K. Kawashima, Semiactive control of nonlinear isolated bridges with time delay, J. Struct. Engng, vol.133, issue.2, pp.235-241, 2007.

G. Leitmann, Guaranteed asymptotic stability for a class of uncertain linear dynamical systems, Journal of Optimization Theory and Applications, vol.6, issue.1, pp.99-106, 1979.
DOI : 10.1007/BF00933328

G. Leitmann, Semiactive Control for Vibration Attenuation, Journal of Intelligent Material Systems and Structures, vol.4, issue.6, pp.841-846, 1994.
DOI : 10.1177/1045389X9400500616

L. Et-reithmeier-]-leitmann, G. Et-reithmeier, and E. , A control scheme based on ER-materials for vibration attenuation of dynamical systems, Applied Mathematics and Computation, vol.70, issue.2-3, pp.247-259, 1995.
DOI : 10.1016/0096-3003(94)00109-H

O. Lemoine, Détection de signaux non stationnaires par représentation temps-fréquence, Thèse de doctorat, 1995.

. Levy, . Wilkinson, S. Levy, and J. P. Et-wilkinson, Generation of artificial time-histories, rich in all frequencies, from given response spectra, Nuclear Engineering and Design, vol.38, issue.2, pp.241-251, 1976.
DOI : 10.1016/0029-5493(76)90099-6

C. Liu, J. Liu, and S. Et-chen, On global stability of quadratic state feedback controlled linear systems, Proc. Aerospace Control Systems, 1993.
DOI : 10.1016/0167-6911(93)90092-K

. Loh, Design of dampers for structures based on optimal control theory, Earthquake Engineering & Structural Dynamics, vol.114, issue.9, pp.1307-1323, 2000.
DOI : 10.1002/1096-9845(200009)29:9<1307::AID-EQE972>3.0.CO;2-D

L. Et-cohen-]-loughlin, P. Et-cohen, and L. , Positive timefrequency distributions éditeur : Applications in time-frequency signal processing, chapitre 3, 2003.

S. Mallat, A Wavelet Tour of Signal Processing : The Sparse Way, 2009.

N. Manring, Hydraulic control systems, 2005.

M. , D. Martin, N. Et-doncarli, and C. , Décision dans le Plan Temps-Fréquence, 2004.

L. Meirovitch, Dynamics and Control of Structures. Ley-Interscience publication, 1990.

. Nitta, Semiactive control strategy for smart base isolation utilizing absolute acceleration information, Structural Control and Health Monitoring, vol.7, issue.2-3, pp.2-3649, 2006.
DOI : 10.1002/stc.103

. Occhiuzzi, Early warning systems from a structural control perspective, 3rd European Conf. Struct. Control, 2004.

. Occhiuzzi, Feedforward control algorithms for seismic early warning systems, 4th World Conf. Structural Control and Monitoring, 2006.

. Odaka, A New Method of Quickly Estimating Epicentral Distance and Magnitude from a Single Seismic Record, Bulletin of the Seismological Society of America, vol.93, issue.1, pp.526-532, 2003.
DOI : 10.1785/0120020008

. Oden, J. T. Oden, and J. A. Et-tend, Models and computational methods for dynamic friction phenomena, Computer Methods in Applied Mechanics and Engineering, vol.52, issue.1-3, pp.1-3527, 1985.
DOI : 10.1016/0045-7825(85)90009-X

T. Patel, R. V. Patel, and M. Et-toda, Qualitative measures of robustness for multi variable systems, Joint Automatic Contr. Conf, p.8, 1980.

A. M. Pawlac, Sensors and Actuators in Mechatronics : Design and Applications, 2007.

A. Pecker, Dynamique des structures et des ouvrages, présentation orale -Amphi3, École des Ponts ParisTech (ENPC), 2010.

A. Pecker, Dynamique des structures et des ouvrages, polycopié. École des Ponts ParisTech (ENPC), 2010.

K. H. Pham, Vulnérabilité et spectres de plancher des structures sismiquement isolées, Thèse de doctorat, École Polytechnique, 2010.

P. Et-gantes-]-pnevmatikos, N. G. Et-gantes, and C. J. , Control strategy for mitigating the response of structures subjected to earthquake actions, Engng. Structures, issue.11, pp.323616-3628, 2010.

. Pnevmatikos, Feed-forward control of active variable stiffness systems for mitigating seismic hazard in structures, Engineering Structures, vol.26, issue.4, pp.471-483, 2004.
DOI : 10.1016/j.engstruct.2003.11.003

I. Politopoulos, Quelques aspects du comportement sismique des machines tournantes. Rapport technique SEMT, 2005.

I. Politopoulos, A review of adverse effects of damping in seismic isolation, Earthquake Engineering & Structural Dynamics, vol.52, issue.3, pp.447-465, 2008.
DOI : 10.1002/eqe.763

I. Politopoulos and H. K. Pham, Floor spectra of mixed base isolated structures, Bulletin of Earthquake Engineering, vol.7, issue.1, pp.1115-1135, 2011.
DOI : 10.1007/s10518-010-9235-1

P. Et-sollogub-]-politopoulos, I. Et-sollogub, and P. , Vulnerability of elastomeric bearing isolated buildings and their equipment, J. Earthquake Engng, vol.9, issue.4, pp.525-546, 2005.

A. D. Polyanin, Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2002.
DOI : 10.1201/9781420035322

P. Et-manzhirov-]-polyanin, A. D. Et-manzhirov, and A. V. , Handbook of Mathematics for Engineers and Scientists, 2007.

. Porubov, Selection of localized nonlinear seismic waves, Proc. Estonian Acad. Sci, pp.85-93, 2003.

L. Praly, Une introduction à l'utilisation de fonctions de lyapunov pour la stabilisation et l'atténuation de perturbations, Lamnabhi- Lagarrigue, F. et Rouchon, P., éditeurs : Commandes non linéaires, Traité IC2, Systèmes automatisées, chapitre 2. Hermès science?Lavoisier, 2003.

A. Preumont, Vibrations Aléatoires et Analyse Spectrale, 1990.

A. Preumont, Vibration Control of Active Structures. An Introduction, volume 96 de Solid Mechanics and its Applications, 2002.

. Pujol, A nonlinear damping control for the vibration mitigation of the benchmark highway bridge, Structural Control and Health Monitoring, vol.338, issue.5, pp.586-598, 2009.
DOI : 10.1002/stc.300

J. Pujol, Earthquake Location Tutorial: Graphical Approach and Approximate Epicentral Location Techniques, Seismological Research Letters, vol.75, issue.1, pp.63-74, 2004.
DOI : 10.1785/gssrl.75.1.63

. Pujol, . Smalley, J. Pujol, and R. Smalley, A preliminary earthquake location method based on a hyperbolic approximation to travel times, pp.1629-1642, 1990.

. Reinhorn, Baseisolated structures with active control, Proc. of ASME Pressure Vessel and Piping Conf, 1987.

R. Et-der-kiureghian-]-rezaeian, S. Der-kiureghian, and A. , A stochastic ground motion model with separable temporal and spectral nonstationarities, Earthquake Eng. Struct. Dyn, vol.37, issue.13, pp.1467-1584, 2008.

. Santiago, An optimal feedback approach to particle source identification in tokamaks, 15th Int. Conf. System Theory, Control and Computing, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00667236

Y. Et-xiaodong-]-yandong, L. Et-xiaodong, and Z. , Wigner- Ville distribution and its application in seismic attenuation estimation, Applied Geophysics, vol.4, issue.4, pp.245-254, 2007.

E. Zentner and F. Et-poirion, Enrichment of seismic ground motion databases using Karhunen-Lo??ve expansion, Earthquake Engineering & Structural Dynamics, vol.126, issue.12, 2012.
DOI : 10.1002/eqe.2166

. Zhou, Robust and Optimal Control, 1996.

. Zollo, Earthquake early warning system in southern Italy, Encyclopedia Complexity Syst. Sci, vol.5, pp.2395-2421, 2009.

J. H. Argyris and H. P. Mlejnek, Dynamics of structures, Texts on computational mechanics, North-Holland, 1991.

A. K. Chopra, Dynamics of Structures: Theory and Applications to Earthquake Engineering, 2007.

M. J. Corless and G. Leitmann, Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems, IEEE Transactions on Automatic Control, vol.26, issue.5, pp.26-1139, 1981.
DOI : 10.1109/TAC.1981.1102785

B. N. Datta, Numerical linear algebra and applications, second edition, 2010.

S. Gutman, Uncertain dynamical systems--A Lyapunov min-max approach, IEEE Transactions on Automatic Control, vol.24, issue.3, pp.437-443, 1979.
DOI : 10.1109/TAC.1979.1102073

S. Gutman and G. Leitmann, Stabilizing feedback control for dynamical systems with bounded uncertainty, 1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes, pp.94-99, 1976.
DOI : 10.1109/CDC.1976.267709

D. J. Inman, Vibration with Control, 2006.

J. M. Kelly, G. Leitmann, and A. G. Soldatos, Robust control of base-isolated structures under earthquake excitation, Journal of Optimization Theory and Applications, vol.26, issue.2, pp.159-180, 1987.
DOI : 10.1007/BF00939213

G. Leitmann, Guaranteed asymptotic stability for a class of uncertain linear dynamical systems, Journal of Optimization Theory and Applications, vol.6, issue.1, pp.99-106, 1979.
DOI : 10.1007/BF00933328

F. Naeim and J. M. Kelly, Design of Seismic Isolated Structures: From Theory to Practice, 1999.
DOI : 10.1002/9780470172742

S. Narasimhan, S. Nagarajaiah, and E. A. Johnson, Smart base-isolated benchmark building part IV: Phase II sample controllers for nonlinear isolation systems, Structural Control and Health Monitoring, vol.123, issue.3, pp.657-672, 2008.
DOI : 10.1002/stc.267

I. Politopoulos and H. K. Pham, Floor spectra of mixed base isolated structures, Bulletin of Earthquake Engineering, vol.7, issue.1, pp.1115-1135, 2011.
DOI : 10.1007/s10518-010-9235-1

A. K. Chopra, Dynamics of Structures: Theory and Applications to Earthquake Engineering, 2007.

M. J. Corless and G. Leitmann, Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems, IEEE Transactions on Automatic Control, vol.26, issue.5, pp.26-1139, 1981.
DOI : 10.1109/TAC.1981.1102785

B. N. Datta, Numerical linear algebra and applications, second edition, 2010.

S. Gutman, Uncertain dynamical systems--A Lyapunov min-max approach, IEEE Transactions on Automatic Control, vol.24, issue.3, pp.437-443, 1979.
DOI : 10.1109/TAC.1979.1102073

S. Gutman and G. Leitmann, Stabilizing feedback control for dynamical systems with bounded uncertainty, 1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes, pp.94-99, 1976.
DOI : 10.1109/CDC.1976.267709

D. J. Inman, Vibration with Control, 2006.

J. M. Kelly, G. Leitmann, and A. G. Soldatos, Robust control of base-isolated structures under earthquake excitation, Journal of Optimization Theory and Applications, vol.26, issue.2, pp.159-180, 1987.
DOI : 10.1007/BF00939213

G. Leitmann, Guaranteed asymptotic stability for a class of uncertain linear dynamical systems, Journal of Optimization Theory and Applications, vol.6, issue.1, pp.99-106, 1979.
DOI : 10.1007/BF00933328

F. Naeim and J. M. Kelly, Design of Seismic Isolated Structures: From Theory to Practice, 1999.
DOI : 10.1002/9780470172742

S. Narasimhan, S. Nagarajaiah, and E. A. Johnson, Smart base-isolated benchmark building part IV: Phase II sample controllers for nonlinear isolation systems, Structural Control and Health Monitoring, vol.123, issue.3, pp.657-672, 2008.
DOI : 10.1002/stc.267

N. N. Nigam and P. C. Jennings, Digital calculation of response spectra from strong-motion earthquake records Earthquake engng. research laboratory, California Institute of Technology, 1968.

I. Politopoulos, Response of seismically isolated structures to rocking-type excitations, Earthquake Engineering & Structural Dynamics, vol.36, issue.5, pp.325-342, 2010.
DOI : 10.1002/eqe.956

I. Politopoulos and H. K. Pham, Floor spectra of mixed base isolated structures, Bulletin of Earthquake Engineering, vol.7, issue.1, pp.1115-1135, 2011.
DOI : 10.1007/s10518-010-9235-1

A. Preumont, Vibration Control of Active Structures. An Introduction, second edition, Solid Mechanics and its Applications, 2002.

T. T. Soong, Active Structural Control: Theory and Practice, Longman Scientific & Technical, 1990.

W. L. Wang and G. X. Xu, Fluid formulae for damping changeability conceptual design of eailway semi-active hydraulic dampers, Int. J. Non-Linear Mechanics, pp.44-809, 2009.

E. Zentner and F. , Poirion, Enrichment of seismic ground motion databases using Karhunen-Loève expansion, Earthquake Engng, Struct. Dyn, 2012.