L. M. Pecora and T. L. Carroll, Synchronization in chaotic systems, Physical Review Letters, vol.64, issue.8, pp.821-824, 1990.
DOI : 10.1103/PhysRevLett.64.821

H. Nijmeijer and I. M. Mareels, An observer looks at synchronization, IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol.44, issue.10, pp.882-890, 1997.
DOI : 10.1109/81.633877

A. Fradkov, H. Nijmeijer, and A. Markov, ADAPTIVE OBSERVER-BASED SYNCHRONIZATION FOR COMMUNICATION, International Journal of Bifurcation and Chaos, vol.10, issue.12, pp.2807-2813, 2000.
DOI : 10.1142/S0218127400001869

S. Mascolo and G. Grassi, Controlling chaos via backstepping design, Physical Review E, vol.56, issue.5, pp.6166-6169, 1997.
DOI : 10.1103/PhysRevE.56.6166

G. Grassi and S. Mascolo, Nonlinear observer design to synchronize hyperchaotic systems via a scalar signal, IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol.44, issue.10, pp.1011-1014, 1997.
DOI : 10.1109/81.633891

R. Engel and G. Kreisselmeier, A continuous-time observer which converges in finite time, IEEE Transactions on Automatic Control, vol.47, issue.7, pp.1202-1204, 2002.
DOI : 10.1109/TAC.2002.800673

F. Sauvage, M. Guay, and D. Dochain, Design of a Nonlinear Finite-Time Converging Observer for a Class of Nonlinear Systems, Journal of Control Science and Engineering, vol.38, issue.2, 2007.
DOI : 10.1137/0323016

S. V. Drakunov and V. I. Utkin, Sliding mode observers. Tutorial, Proceedings of 1995 34th IEEE Conference on Decision and Control, 1995.
DOI : 10.1109/CDC.1995.479009

W. Perruquetti, T. Floquet, and P. Borne, A note on sliding observer and controller for generalized canonical forms, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171), pp.1920-1925, 1998.
DOI : 10.1109/CDC.1998.758593

M. Fliess and H. Sira-ramírez, Reconstructeurs d'??tat, Comptes Rendus Mathematique, vol.338, issue.1, pp.91-96, 2004.
DOI : 10.1016/j.crma.2003.11.004

H. Sira-ramírez and M. Fliess, AN ALGEBRAIC STATE ESTIMATION APPROACH FOR THE RECOVERY OF CHAOTICALLY ENCRYPTED MESSAGES, International Journal of Bifurcation and Chaos, vol.16, issue.02, pp.295-309, 2006.
DOI : 10.1142/S0218127406014812

Z. P. Jiang, A note on chaotic secure communication systems, IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol.49, issue.1, pp.92-96, 2002.
DOI : 10.1109/81.974882

T. Yang and L. Chua, Secure communication via chaotic parameter modulation, IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol.43, issue.9, pp.817-819, 1996.
DOI : 10.1109/81.536758

R. Lozi, Secure communications via chaotic synchronization in Chua's circuit and Bonhoeffer-Van der Pol equation: numerical analysis of the errors of the recovered signal, Proceedings of ISCAS'95, International Symposium on Circuits and Systems, pp.684-687, 1995.
DOI : 10.1109/ISCAS.1995.521606

M. Itoh, H. Murakami, and L. Chua, Performance of Yamakawa's chaotic chips and Chua's circuits for secure communications, Proceedings of IEEE International Symposium on Circuits and Systems, ISCAS '94, pp.105-108, 1994.
DOI : 10.1109/ISCAS.1994.409537

A. Glumineau, C. H. Moog, and F. Plestan, New algebraic-geometric conditions for the linearization by input-output injection, IEEE Transactions on Automatic Control, vol.41, issue.4, pp.598-603, 1996.
DOI : 10.1109/9.489283

A. J. Krener and A. Isidori, Linearization by output injection and nonlinear observers, Systems & Control Letters, vol.3, issue.1, pp.47-52, 1983.
DOI : 10.1016/0167-6911(83)90037-3

A. J. Krener and W. Respondek, Nonlinear Observers with Linearizable Error Dynamics, SIAM Journal on Control and Optimization, vol.23, issue.2, pp.197-216, 1985.
DOI : 10.1137/0323016

X. H. Xia and W. B. Gao, Nonlinear Observer Design by Observer Error Linearization, SIAM Journal on Control and Optimization, vol.27, issue.1, pp.199-216, 1989.
DOI : 10.1137/0327011

J. Back, K. T. Yu, and J. H. Seo, Dynamic observer error linearization, Automatica, vol.42, issue.12, pp.2195-2200, 2006.
DOI : 10.1016/j.automatica.2006.07.009

P. Jouan, Immersion of Nonlinear Systems into Linear Systems Modulo Output Injection, SIAM Journal on Control and Optimization, vol.41, issue.6, pp.1756-1778, 2003.
DOI : 10.1137/S0363012901391706

S. P. Bhat and D. S. Bernstein, Finite-Time Stability of Continuous Autonomous Systems, SIAM Journal on Control and Optimization, vol.38, issue.3, pp.751-766, 2000.
DOI : 10.1137/S0363012997321358

A. Bacciotti and L. Rosier, Liapunov Functions and Stability in Control Theory, 2005.
DOI : 10.1007/b139028

URL : https://hal.archives-ouvertes.fr/hal-00139067

E. Moulay and W. Perruquetti, Finite time stability of non linear systems, IEEE Conference on Decision and Control, 2003.

W. Perruquetti and S. Drakunov, Finite time stability and stabilisation, IEEE Conference on Decision and Control, 2000.

E. Moulay and W. Perruquetti, Finite time stability of differential inclusions, IMA Journal of Mathematical Control and Information, vol.22, issue.4, 2005.
DOI : 10.1093/imamci/dni039

S. P. Bhat and D. S. Bernstein, Geometric homogeneity with applications to finite-time stability, Mathematics of Control, Signals, and Systems, vol.17, issue.2, pp.101-127, 2005.
DOI : 10.1007/s00498-005-0151-x

V. T. Haimo, Finite Time Controllers, SIAM Journal on Control and Optimization, vol.24, issue.4, pp.760-770, 1986.
DOI : 10.1137/0324047

Y. Hong, J. Huang, and Y. Xu, On an output feedback finite-time stabilization problem, IEEE Transactions on Automatic Control, vol.46, issue.2, pp.305-309, 2001.
DOI : 10.1109/9.905699

E. Moulay and W. Perruquetti, Finite-Time Stability and Stabilization: State of the Art, Advances in Variable Structure and Sliding Mode Control, 2006.
DOI : 10.1007/11612735_2

Y. Orlov, Finite time stability of homogeneous switched systems, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), pp.4271-4276, 2003.
DOI : 10.1109/CDC.2003.1271821

L. Rosier, Homogeneous Lyapunov function for homogeneous continuous vector field, Systems & Control Letters, vol.19, issue.6, pp.467-473, 1992.
DOI : 10.1016/0167-6911(92)90078-7

M. Y. Chen, Z. Z. Han, and Y. Shang, GENERAL SYNCHRONIZATION OF GENESIO???TESI SYSTEMS, International Journal of Bifurcation and Chaos, vol.14, issue.01
DOI : 10.1142/S0218127404009077

M. Feki, Observer-based exact synchronization of ideal and mismatched chaotic systems, Physics Letters A, vol.309, issue.1-2, pp.53-60, 2003.
DOI : 10.1016/S0375-9601(03)00171-3

J. Barbot, I. Belmouhoub, and L. Boutat-baddas, Observability Normal Forms in "New Trends in Nonlinear Dynamics and Control and their Applications, LNCIS, 2004.