N. Zoghlami, L. Beji, R. Mlayeh, and A. Abichou, The finite-time stability of perturbed systems, 2012 IEEE International Conference on Control Applications, 2012.
DOI : 10.1109/CCA.2012.6402364

URL : https://hal.archives-ouvertes.fr/hal-00761641

N. Zoghlami, L. Beji, R. Mlayeh, and A. Abichou, Local finite-time stability and stabilization analysis of interconnected systems, 9th IFAC Symposium on Nonlinear Control Systems (NOLCOS 13), 2013.
DOI : 10.3182/20130904-3-FR-2041.00158

URL : https://hal.archives-ouvertes.fr/hal-00880278

N. Zoghlami, L. Beji, R. Mlayeh, and A. Abichou, Finite-time stabilization of interconnected nonlinear systems, 2013 IEEE International Conference on Control Applications (CCA), 2013.
DOI : 10.1109/CCA.2013.6662913

URL : https://hal.archives-ouvertes.fr/hal-01011107

N. Zoghlami, L. Beji, R. Mlayeh, and A. Abichou, Finite time consensus and stabilization of networked nonlinear systems, 52nd IEEE Conference on Decision and Control, 2013.

N. Zoghlami, L. Beji, R. Mlayeh, and A. Abichou, Finite-time consensus of networked nonlinear systems under directed graph, 2014 European Control Conference (ECC), 2014.
DOI : 10.1109/ECC.2014.6862423

URL : https://hal.archives-ouvertes.fr/hal-01092962

N. Zoghlami, L. Beji, R. Mlyah, and A. Abichou, Finite-time average consensus in networked nonlinear dynamic systems, Submitted to the 53nd IEEE Conference on Decision and Control, 2014.

N. Zoghlami, L. Beji, R. Mlayeh, and A. Abichou, Finite-time average consensus in networked dynamic systems, 53rd IEEE Conference on Decision and Control, 2014.
DOI : 10.1109/CDC.2014.7040089

URL : https://hal.archives-ouvertes.fr/hal-01172701

N. Zoghlami, L. Beji, R. Mlayeh, and A. Abichou, Average consensus and stability analysis in networked dynamic systems, Automatica, en révision, 2014.

L. Beji, M. Elkamel, and A. Abichou, A strategy for multi-robot navigation, IEEE Conference on Decision and Control and European Control Conference, 2011.
DOI : 10.1109/CDC.2011.6160369

URL : https://hal.archives-ouvertes.fr/hal-00653812

L. Beji and A. Abichou, Streamlind rotors mini rotocraft : Trajectory generation and traking, Int. J. of Control, Automation, and Systems, pp.87-99, 2005.

R. Mlayeh, L. Beji, and A. Abichou, B-UAV tracking control integrating planned yaw and longitudinal/lateral inputs, 3rd US-European Workshop and Competition about Micro-Aerial Vehicules, MAV07, 2007.

R. Mlayeh, L. Beji, and A. Abichou, Yaw-based Control of X4-bidirectional Flyer Planar Motion, International Journal of Factory Automation, Robotics and Soft Computing, pp.166-172, 2007.

M. A. Kamel, Stabilisation et régulation de robots mobiles opérant en groupe, Thèse de doctorat, 2012.

J. Coron, On the Stabilization in Finite Time of Locally Controllable Systems by Means of Continuous Time-Varying Feedback Law, SIAM Journal on Control and Optimization, vol.33, issue.3, pp.804-833, 1995.
DOI : 10.1137/S0363012992240497

J. Coron, Control and nonlinearity, Mathematical Surveys and Monographs, vol.136, 2008.
DOI : 10.1090/surv/136

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

S. P. Bhat and D. S. Bernstein, Lyapunov analysis of finite-time differential equations, Proceedings of 1995 American Control Conference, ACC'95, 1995.
DOI : 10.1109/ACC.1995.531201

S. P. Bhat and D. S. Bernstein, Finite-time stability of homogeneous systems, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041), 1997.
DOI : 10.1109/ACC.1997.609245

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

S. P. Bhat and D. S. Bernstein, Continuous finite-time stabilization of the translational and rotational double integrators, IEEE Transactions on Automatic Control, vol.43, issue.5, pp.678-682, 1998.
DOI : 10.1109/9.668834

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

E. Moulay and W. Perruquetti, Finite Time Stability of Non Linear Systems, IEEE Conference on Decision and Control, 2003.

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

W. M. Haddad, S. G. Nersesov, and D. Liang, Finite-time stability for time-varying nonlinear dynamical systems, 2008 American Control Conference, 2008.
DOI : 10.1109/ACC.2008.4587141

R. W. Brokett, Asymptotic stability and feedback stabilization, Differential Geometric Control Theory, pp.181-191, 1983.

L. Louis and . Whitcombe, Notes on Kronecker products

M. Kawski, Homogeneous stabilizing feedback laws, Control-Theory and Advanced Technology, vol.6, pp.497-516, 1990.

R. T. Closkey and R. M. Murray, Exponential stabilization of driftless nonlinear control systems using homogeneous feedback, IEEE Transactions on Automatic Control, vol.42, issue.5, pp.614-628, 1997.
DOI : 10.1109/9.580865

H. K. Khalil, Nonlinear systems, 2002.

Y. Hong, Finite-time stabilization and stabilizability of a class of controllable systems, Systems & Control Letters, vol.46, issue.4, pp.231-236, 2002.
DOI : 10.1016/S0167-6911(02)00119-6

R. T. Closkey, An averaging theorem for time-periodic degree zero homogeneous differential equations, Systems & Control Letters, vol.32, issue.3, pp.179-183, 1997.
DOI : 10.1016/S0167-6911(97)00070-4

E. Moulay, Une contribution à l'étude de la stabilité en temps fini et de la stabilisation, Thèse de doctorat, université des sciences et technologie de Lille, 2005.

E. Bernuau, A. Polyakov, D. Emov, and W. Perruquetti, Verification of ISS, iISS and IOSS properties applying weighted homogeneity, Systems & Control Letters, vol.62, issue.12, pp.1159-1167, 2013.
DOI : 10.1016/j.sysconle.2013.09.004

URL : https://hal.archives-ouvertes.fr/hal-00877148

T. Menard, E. Moulay, and W. Perruquetti, A Global High-Gain Finite-Time Observer, IEEE Transactions on Automatic Control, vol.55, issue.6, pp.1500-1506, 2010.
DOI : 10.1109/TAC.2010.2045698

URL : https://hal.archives-ouvertes.fr/hal-00455790

W. Perruquetti, T. Floquet, and E. Moulay, Finite-Time Observers: Application to Secure Communication, IEEE Transactions on Automatic Control, vol.53, issue.1, 2008.
DOI : 10.1109/TAC.2007.914264

URL : https://hal.archives-ouvertes.fr/inria-00176758

E. Moulay, M. Dambrine, N. Yeganefar, and W. Perruquetti, Finite-time stability and stabilization of time-delay systems, IF : 1.718), pp.561-566, 2008.
DOI : 10.1016/j.sysconle.2007.12.002

URL : https://hal.archives-ouvertes.fr/inria-00344524

E. Moulay and W. Perruquetti, Finite time stability conditions for non-autonomous continuous systems, IF : 0.977), pp.797-803, 2008.
DOI : 10.1080/00207177908922792

URL : https://hal.archives-ouvertes.fr/hal-00177572

E. Moulay and W. Perruquetti, Finite time stability and stabilization of a class of continuous systems, Journal of Mathematical Analysis and Applications, vol.323, issue.2
DOI : 10.1016/j.jmaa.2005.11.046

E. Moulay and W. Perruquetti, Finite time stability of differential inclusions, IMA Journal of Mathematical Control and Information, vol.22, issue.4, pp.465-475, 2005.
DOI : 10.1093/imamci/dni039

A. Polyakov, D. Efimov, and W. Perruquetti, Finite-time Stabilization Using Implicit Lyapunov Function Technique, IFAC Proceedings Volumes, vol.46, issue.23, 2013.
DOI : 10.3182/20130904-3-FR-2041.00043

URL : https://hal.archives-ouvertes.fr/hal-00844386

E. Bernuau, A. Polyakov, D. Efimov, and W. Perruquetti, Robustness of finite-time stability property for sliding modes, IFAC Proceedings Volumes, vol.46, issue.2, 2013.
DOI : 10.3182/20130204-3-FR-2033.00159

URL : https://hal.archives-ouvertes.fr/hal-00745673

E. Bernuau, W. Perruquetti, D. Efimov, and E. Moulay, Finite-time output stabilization of the double integrator, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012.
DOI : 10.1109/CDC.2012.6426565

URL : https://hal.archives-ouvertes.fr/hal-01056207

W. Hahn, Theory and Application of Liapunov's Direct Method, 1963.

T. Yoshizawa, Stability Theory by Liapunov's Second Method, 1966.

M. Amato, C. Ariola, C. T. Cosentino, P. Abdallah, and . Dorato, Necessary and sufficient conditions for finite-time stability of linear systems, Proceedings of the 2003 American Control Conference, 2003., pp.4-6, 2003.
DOI : 10.1109/ACC.2003.1240541

M. Lazarevic, D. Debeljkovic, Z. Nenadic, and S. Et-milinkovic, Finite-time stability of delayed systems, IMA Journal of Mathematical Control and Information, vol.17, issue.2, pp.101-109
DOI : 10.1093/imamci/17.2.101

W. Dayawansa and C. Martin, Some sufficient conditions for the asymptotic stabilizability of three dimensional homogeneous polynomial systems, Proceedings of the 28th IEEE Conference on Decision and Control, pp.1366-1369, 1989.
DOI : 10.1109/CDC.1989.70363

. Hermes, Homogeneous coordinates and continuous asymptotically stabilizing feedback controls, Differential equations, stability and control
DOI : 10.1051/cocv:1997101

URL : http://archive.numdam.org/article/COCV_1997__2__13_0.pdf

. Hermes, Nilpotent and High-Order Approximations of Vector Field Systems, SIAM Review, vol.33, issue.2, pp.238-264, 1991.
DOI : 10.1137/1033050

. Hermes, Vector field approximations ; flow homogeneity Ordinary and delay differential equations, pp.80-89, 1992.

. Hermes, Homogeneous feedback controls for homogeneous systems, Systems & Control Letters, vol.24, issue.1, pp.7-11, 1995.
DOI : 10.1016/0167-6911(94)00035-T

M. Kawski, Stabilizability and nilpotent approximations Proceedings of conference on decision and control, pp.1244-1248, 1988.

M. Kawski, Geometric homogeneity and stabilization (eds) IFAC postprint volumes series, 1999.

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

C. Godsil and G. Royal, Algebraic Graph Theory, 2001.
DOI : 10.1007/978-1-4613-0163-9

W. Ren, Multi-vehicle consensus with a time-varying reference state, Systems & Control Letters, vol.56, issue.7-8, pp.474-483, 2007.
DOI : 10.1016/j.sysconle.2007.01.002

W. Ren and R. W. Beard, Consensus seeking in multiagent systems under dynamically changing interaction topologies, IEEE Transactions on Automatic Control, vol.50, issue.5, pp.655-661, 2005.
DOI : 10.1109/TAC.2005.846556

R. Olfati-saber and R. M. Murray, Consensus Problems in Networks of Agents With Switching Topology and Time-Delays, IEEE Transactions on Automatic Control, vol.49, issue.9, 2004.
DOI : 10.1109/TAC.2004.834113

R. Olfati-saber, R. Fax, and J. A. Murray, Consensus and cooperationin networed multi-agent systems, Proceedings of the IEEE, pp.215-133, 2007.

R. Olfati-saber and R. M. Murray, Consensus Problems in Networks of Agents With Switching Topology and Time-Delays, IEEE Transactions on Automatic Control, vol.49, issue.9, pp.1520-1533, 2004.
DOI : 10.1109/TAC.2004.834113

R. Olfati-saber, Flocking for Multi-Agent Dynamic Systems: Algorithms and Theory, IEEE Transactions on Automatic Control, vol.51, issue.3, pp.401-420, 2006.
DOI : 10.1109/TAC.2005.864190

C. Gao, J. Cortés, and F. Bullo, Notes on averaging over acyclic digraphs and discrete coverage control, Automatica, vol.44, issue.8, pp.2120-2127, 2008.
DOI : 10.1016/j.automatica.2007.12.017

W. Perruquetti and J. P. Barbot, Sliding mode control in engineering, 2002.
DOI : 10.1201/9780203910856

M. Defoort, S. D. Gennaro, and M. Djemai, Self-triggered control for multi-agent systems under a directed switching graph, 52nd IEEE Conference on Decision and Control, 2013.
DOI : 10.1109/CDC.2013.6760634

Y. Zheng and L. Wang, Finite-time consensus of heterogeneous multi-agent systems with and without velocity measurements, Systems & Control Letters, vol.61, issue.8, pp.61-871, 2012.
DOI : 10.1016/j.sysconle.2012.05.009

F. Xiao and L. Wang, Consensus behavior of agents in networked systems under general communication topologies, Proc. the 2006 IEEE International Symposium on Intelligent Control, pp.862-867, 2006.

D. Swaroop and J. K. Hedrick, String stability of interconnected systems, IEEE Transactions on Automatic Control, vol.41, issue.3, pp.349-357, 1996.
DOI : 10.1109/9.486636

J. , A. Fax, and R. M. Murray, Graph Laplacians and vehicle formation stabilization, Proc. of the 15th IFAC World Congress, pp.23-53, 2002.

J. , A. Fax, and R. M. Murray, Stability Analysis of Interconnected Nonlinear Systems Under Matrix Feedback, Proc. of the 42nd Conference on Decision and Control, pp.3078-3083, 2003.

. Feng, L. Xiao, J. Wang, Y. Chen, and . Gao, Finite-time formation control for multi-agent systems, Automatica, vol.45, pp.2605-2611, 2009.

. Xiaoli, Y. Wang, and . Hong, Finite-Time Consensus for Multi-Agent Networks with Secend-Order Agent Dynamic, Proceedings of the 17th World Congress IFAC, pp.15185-15190, 2008.

S. Li and Y. P. Tian, Finite-time stability of cascaded time-varying systems, International Journal of Control, vol.24, issue.4, pp.646-657, 2007.
DOI : 10.1016/S0005-1098(97)00205-7

L. B. Cremean and R. M. Murray, Stability analysis of interconnected nonlinear systems under matrix feedback, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 2003.
DOI : 10.1109/CDC.2003.1273096

C. Samson, Velocity and torque feedback control of a nonholonomic cart, Int. Workshop on Adaptive and Nonlinear Control, pp.125-151, 1990.
DOI : 10.1007/BFb0039269

E. Panteley and A. Loria, On global uniform asymptotic stability of nonlinear timevarying systems in cascade, pp.131-138, 1998.

P. Morin and C. Samson, Commande, 2001.
URL : https://hal.archives-ouvertes.fr/halshs-01181392

. D. Siljak, Large scale dynamic systems : stability and structure, 1978.

A. N. Michel and R. K. Miller, Qualititative analysis of large scale dynamical systems, Mathematic science and Engineering, vol.134, 1977.

. Y. Hong, . Y. Xu, and . J. Huang, Finite-time control for robot manipulators, Systems & Control Letters, vol.46, issue.4, pp.243-253, 2002.
DOI : 10.1016/S0167-6911(02)00130-5

Y. Hong and Z. P. Jiang, Finite-Time Stabilization of Nonlinear Systems With Parametric and Dynamic Uncertainties, IEEE Transactions on Automatic Control, vol.51, issue.12, pp.1950-1956, 2006.
DOI : 10.1109/TAC.2006.886515

B. Bollobas, Modern graph theory, Graduate texts in Mathematics, vol.184, 1998.
DOI : 10.1007/978-1-4612-0619-4

T. Vicsek, A. Czzirok, E. Ben-jacob, I. Cohen, and O. Schochet, Novel Type of Phase Transition in a System of Self-Driven Particles, Physical Review Letters, vol.75, issue.6, pp.1226-1229, 1995.
DOI : 10.1103/PhysRevLett.75.1226

A. Jadbabaie, J. Lin, and A. S. Morse, Coordination of groups of mobile autonomous agents using nearest neighbor rules, IEEE Transactions on Automatic Control, vol.48, issue.6, pp.988-1001, 2003.
DOI : 10.1109/TAC.2003.812781

J. Cortes, Finite-time convergent gradient flows with applications to network consensus, Automatica, vol.42, issue.11, 1993.
DOI : 10.1016/j.automatica.2006.06.015

Q. Hui, W. M. Hadddad, and S. P. Bhat, Finite-Time Semistability and Consensus for Nonlinear Dynamical Networks, IEEE Transactions on Automatic Control, vol.53, issue.8, pp.1887-1890, 2008.
DOI : 10.1109/TAC.2008.929392

F. Xiao and L. Wang, State consensus for multi-agent systems with switching topologies and time-varying delays, International Journal of Control, vol.3612, issue.10, pp.1277-1284, 2006.
DOI : 10.1080/00207170600825097

L. Wang and F. Xiao, Finite-Time Consensus Problems for Networks of Dynamic Agents, IEEE Transactions on Automatic Control, vol.55, issue.4, pp.950-955, 2010.
DOI : 10.1109/TAC.2010.2041610

F. Xiao, L. Wang, J. Chen, and Y. Gao, Finite-time formation control for multiagent systems Distributed finite-time ?-consensus algorithms for multiagent systems with variable coupling topology, Automatica Journal of Systems Science and Complexity, vol.45, issue.23 2, pp.2605-2611, 2009.

X. Wang and Y. Hong, Finite-Time Consensus for Multi-Agent Networks with Second-Order Agent Dynamics, IFAC World Congress, pp.15185-15190, 2008.
DOI : 10.3182/20080706-5-KR-1001.02568

W. Yongcan and . Ren, Finite-time Consensus for Second-order Multi-agent Networks with Inherent Nonlinear Dynamics Under Fixed Graph, Proc. of IEEE CDC, 2011.

. Y. Hong, . Y. Xu, and . J. Huang, Finite-time control for robot manipulators, Systems & Control Letters, vol.46, issue.4, pp.243-253, 2002.
DOI : 10.1016/S0167-6911(02)00130-5

. M. Zhu and . S. Martínez, Discrete-time dynamic average consensus, Automatica, vol.46, issue.2, pp.322-329, 2010.
DOI : 10.1016/j.automatica.2009.10.021

F. Jiang and L. Wang, Finite-time information consensus for multi-agent systems with fixed and switching topologies, Physica D: Nonlinear Phenomena, vol.238, issue.16, pp.1550-1560, 2009.
DOI : 10.1016/j.physd.2009.04.011

F. Jiang and L. Wang, Finite-time weighted average consensus with respect to a monotonic function and its application, Systems & Control Letters, vol.60, issue.9, pp.718-725, 2011.
DOI : 10.1016/j.sysconle.2011.05.009

S. Nosrati, M. Shafiee, and M. B. Menhaj, Dynamic average consensus via nonlinear protocols, Automatica, vol.48, issue.9, pp.2262-2270, 2012.
DOI : 10.1016/j.automatica.2012.06.031

S. Liu, T. Li, L. Xie, M. Fud, and J. Zhangc, Continuous-time and sampled-data-based average consensus with logarithmic quantizers, Automatica, vol.49, issue.11, pp.3329-3336, 2013.
DOI : 10.1016/j.automatica.2013.07.016