OPTIPLAN: A Matlab Toolbox for Model Predictive Control with Obstacle Avoidance, IFAC-PapersOnLine, vol.50, issue.1, pp.531-536, 2017. ,
Aircraft trajectory planning with collision avoidance using mixed integer linear programming, American Control Conference, vol.3, pp.1936-1941, 2002. ,
DOI : 10.1109/acc.2002.1023918
Hyperplane arrangements in mixed-integer programming techniques. Collision avoidance application with zonotopic sets, 2013 European Control Conference (ECC), pp.3155-3160, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00827206
UAV path planning using artificial potential field method updated by optimal control theory, International Journal of Systems Science, vol.47, issue.6, pp.1407-1420, 2016. ,
DOI : 10.1080/00207721.2014.929191
Distributed cooperative control of multiple vehicle formations using structural potential functions, IFAC world congress, vol.15, pp.242-248, 2002. ,
Sampling-based algorithms for optimal motion planning, The International Journal of Robotics Research, vol.30, issue.7, pp.846-894, 2011. ,
DOI : 10.1177/0278364911406761
URL : http://arxiv.org/pdf/1105.1186
Rapidly-exploring random trees: A new tool for path planning, 1998. ,
Robot motion planning, vol.124, 2012. ,
Mixed-Integer Representations, Mixed-Integer Representations in Control Design, ser. SpringerBriefs,Engineering, 2016. ,
DOI : 10.1007/978-3-319-26995-5_3
URL : https://hal.archives-ouvertes.fr/hal-01257452
, Enhancements on the hyperplanes arrangements in mixedinteger programming techniques, Journal of Optimization Theory and Applications, vol.154, issue.2, pp.549-572, 2012.
Modeling disjunctive constraints with a logarithmic number of binary variables and constraints, Mathematical Programming, vol.128, issue.1-2, pp.49-72, 2011. ,
Applied interval analysis: with examples in parameter and state estimation, robust control and robotics, vol.1, 2001. ,
URL : https://hal.archives-ouvertes.fr/hal-00845131
Zonotopes As Bounding Volumes, Proceedings of the Fourteenth Annual ACM-SIAM Symposium on Discrete Algorithms, ser. SODA '03, pp.803-812, 2003. ,
Computing reachable sets of hybrid systems using a combination of zonotopes and polytopes, Nonlinear analysis: hybrid systems, vol.4, pp.233-249, 2010. ,
Robust fault detection using zonotope-based set-membership consistency test, International journal of adaptive control and signal processing, vol.23, issue.4, pp.311-330, 2009. ,
DOI : 10.1002/acs.1038
Guaranteed state estimation by zonotopes, Automatica, vol.41, issue.6, pp.1035-1043 ,
DOI : 10.1109/cdc.2003.1271935
URL : https://hal.archives-ouvertes.fr/hal-00708563
Cora 2015 manual, TU Munich, vol.85748, 2015. ,
DOI : 10.29007/zbkv
URL : https://easychair.org/publications/open/xMm
Theory and computation of disturbance invariant sets for discrete-time linear systems, Mathematical problems in engineering, vol.4, issue.4, pp.317-367, 1998. ,
Rigorously computed orbits of dynamical systems without the wrapping effect, Computing, vol.61, issue.1, pp.47-67, 1998. ,
From the zonotope construction to the Minkowski addition of convex polytopes, Journal of Symbolic Computation, vol.38, pp.1261-1272, 2004. ,
Determinants and the volumes of parallelotopes and zonotopes, Linear Algebra and its Applications, vol.433, issue.1, pp.28-40, 2010. ,
, Lectures on polytopes, vol.152, 2012.
DOI : 10.1007/978-1-4613-8431-1
An introduction to hyperplane arrangements, Lecture notes, IAS/Park City Mathematics Institute, 2004. ,
DOI : 10.1090/pcms/013/08
URL : http://www.cis.upenn.edu/~cis610/sp06stanley.pdf
An algorithm for planning collision-free paths among polyhedral obstacles, Communications of the ACM, vol.22, issue.10, pp.560-570, 1979. ,
, Multinomial coefficient, Encyclopedia of Mathematics, 2001.