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.