O. Khatib, Real-Time Obstacle Avoidance for Manipulators and Mobile Robots, The International Journal of Robotics Research, vol.5, issue.1, pp.90-99, 1986.
DOI : 10.1109/TSMC.1983.6313112

R. C. Arkin, Motor Schema ??? Based Mobile Robot Navigation, The International Journal of Robotics Research, vol.32, issue.4, pp.92-112, 1989.
DOI : 10.1093/brain/34.2-3.102

A. Elnagar and A. Hussein, Motion planning using maxwell's equations, IEEE/RSJ International Conference on Intelligent Robots and System, 2002.

A. Saffiotti, E. Ruspini, and K. Konolige, Robust execution of robot plans using fuzzy logic, Fuzzy Logic in Artificial Intelligence : IJCAI'93 Workshop, pp.24-37, 1993.
DOI : 10.1007/3-540-58409-9_3

O. Motlagh, T. S. Hong, and N. Ismail, Development of a new minimum avoidance system for a behavior-based mobile robot, Fuzzy Sets and Systems, 2008.
DOI : 10.1016/j.fss.2008.09.015

C. Ordonez, E. G. Jr, M. F. Selekwa, and D. D. Dunlap, The virtual wall approach to limit cycle avoidance for unmanned ground vehicles, Robotics and Autonomous Systems, vol.56, issue.8, pp.645-657, 2008.
DOI : 10.1016/j.robot.2007.11.010

L. P. Zapata, R. Cacitti, and A. , DVZ-based collision avoidance control of non-holonomic mobile manipulators, Journal Europ??en des Syst??mes Automatis??s, vol.38, issue.5, pp.559-588, 2004.
DOI : 10.3166/jesa.38.559-588
URL : https://hal.archives-ouvertes.fr/lirmm-00108573

J. Latombe, Robot Motion Planning, 1991.
DOI : 10.1007/978-1-4615-4022-9

E. Rimon and D. E. Koditschek, Exact robot navigation using artificial potential functions, IEEE Transactions on Robotics and Automation, vol.8, issue.5, pp.501-518, 1992.
DOI : 10.1109/70.163777
URL : https://repository.upenn.edu/cgi/viewcontent.cgi?article=1364&context=ese_papers

C. Belta, V. Isler, G. J. Pappas-]-d, H. Conner, A. Choset et al., Discrete abstractions for robot motion planning and control in polygonal environments, Proceedings of Robotics: Science and Systems II. Philadelphia, pp.864-874, 2005.
DOI : 10.1109/TRO.2005.851359

M. Egerstedt and X. Hu, A hybrid control approach to action coordination for mobile robots, Automatica, vol.38, issue.1, pp.125-130, 2002.
DOI : 10.1016/S0005-1098(01)00185-6

J. Toibero, R. Carelli, and B. Kuchen, Switching Control of Mobile Robots for Autonomous Navigation in Unknown Environments, Proceedings 2007 IEEE International Conference on Robotics and Automation, pp.1974-1979, 2007.
DOI : 10.1109/ROBOT.2007.363611

L. Adouane, An adaptive multi-controller architecture for mobile robot navigation, 10th IAS, Intelligent Autonomous Systems, pp.342-347, 2008.
URL : https://hal.archives-ouvertes.fr/hal-01714874

L. Adouane and N. L. Fort-piat, Behavioral and distributed architecture of control for minimalist mobile robots, Journal Europ??en des Syst??mes Automatis??s, vol.40, issue.2, pp.177-196, 2006.
DOI : 10.3166/jesa.40.177-196
URL : https://hal.archives-ouvertes.fr/hal-01714876

A. Stuart and A. Humphries, Numerical analysis of dynamical systems, Acta Numerica, vol.25, 1996.
DOI : 10.1007/BF01385623

H. K. Khalil, Frequency domain analysis of feedback systems, P. Hall, Nonlinear Systems: Chapter7, 3 edition, 2002.

M. Yerry and M. Shephard, A Modified Quadtree Approach To Finite Element Mesh Generation, IEEE Computer Graphics and Applications, vol.3, issue.1, 1983.
DOI : 10.1109/MCG.1983.262997

C. Pradalier, J. Hermosillo, C. Koike, C. Braillon, P. Bessière et al., The CyCab: a car-like robot navigating autonomously and safely among pedestrians, Robotics and Autonomous Systems, vol.50, issue.1, pp.51-68, 2005.
DOI : 10.1016/j.robot.2004.10.002
URL : https://hal.archives-ouvertes.fr/inria-00182049

W. H. Huang, B. R. Fajen, J. R. Fink, and W. H. Warren, Visual navigation and obstacle avoidance using a steering potential function, Robotics and Autonomous Systems, vol.54, issue.4, pp.288-299, 2006.
DOI : 10.1016/j.robot.2005.11.004

H. Zhang, S. Liu, and S. X. Yang, A Hybrid Robot Navigation Approach Based on Partial Planning and Emotion-Based Behavior Coordination, 2006 IEEE/RSJ International Conference on Intelligent Robots and Systems, pp.1183-1188, 2006.
DOI : 10.1109/IROS.2006.281851

R. A. Brooks, A robust layered control system for a mobile robot, IEEE Journal on Robotics and Automation, vol.2, issue.1, pp.14-23, 1986.
DOI : 10.1109/JRA.1986.1087032

D. Kim and J. Kim, A real-time limit-cycle navigation method for fast mobile robots and its application to robot soccer, Robotics and Autonomous Systems, vol.42, issue.1, pp.17-30, 2003.
DOI : 10.1016/S0921-8890(02)00311-1

L. Adouane, Hybrid and safe control architecture for mobile robot navigation, 9th Conference on Autonomous Robot Systems and Competitions, Portugal, 2009.
URL : https://hal.archives-ouvertes.fr/hal-01714869

M. S. Jie, J. H. Baek, Y. S. Hong, and K. W. Lee, Real Time Obstacle Avoidance for Mobile Robot Using Limit-Cycle and Vector Field Method, Knowledge-Based Intelligent Information and Engineering Systems, pp.866-873, 2006.
DOI : 10.1007/11892960_104

M. Wang and J. N. Liua, Fuzzy logic-based real-time robot navigation in unknown environment with dead ends, Robotics and Autonomous Systems, vol.56, issue.7, pp.625-643, 2008.
DOI : 10.1016/j.robot.2007.10.002