Linear Machine Solution to Point Location Problem, IEEE Transactions on Automatic Control, vol.62, issue.3, 2016. ,
DOI : 10.1109/TAC.2016.2573201
Fitting Voronoi Diagrams to Planar Tesselations, Combinatorial Algorithms, pp.349-361, 2013. ,
DOI : 10.1007/978-3-642-45278-9_30
URL : http://arxiv.org/pdf/1308.5550.pdf
A criterion for the affine equivalence of cell complexes inR d and convex polyhedra inR d+1, Discrete & Computational Geometry, vol.49, issue.1, pp.49-64, 1987. ,
DOI : 10.2307/1969055
A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra, Discrete & Computational Geometry, vol.8, issue.3, pp.295-313, 1992. ,
DOI : 10.1016/0095-8956(85)90042-5
Efficient On-Line Computation of Constrained Optimal Control, SIAM Journal on Control and Optimization, vol.47, issue.5, pp.2470-2489, 2008. ,
DOI : 10.1137/060659314
Using hash tables to manage the time-storage complexity in a point location problem: Application to explicit model predictive control, Automatica, vol.47, issue.3, pp.571-577, 2011. ,
DOI : 10.1016/j.automatica.2011.01.009
The explicit linear quadratic regulator for constrained systems, Automatica, vol.38, issue.1, pp.3-20, 2002. ,
DOI : 10.1016/S0005-1098(01)00174-1
On the computation of linear model predictive control laws, Automatica, vol.46, issue.6, pp.1035-1041, 2010. ,
DOI : 10.1016/j.automatica.2010.02.031
Convex optimization, 2004. ,
Plane self stresses and projected polyhedra 1: the basic pattern, Structural Topology, vol.19, pp.55-73, 1993. ,
Voronoi diagrams and arrangements, Discrete & Computational Geometry, vol.24, issue.1, pp.25-44, 1986. ,
DOI : 10.1093/comjnl/24.2.167
URL : http://ecommons.cornell.edu/bitstream/1813/6509/1/85-669.pdf
Postoptimal analyses, parametric programming and related topics, 1995. ,
DOI : 10.1515/9783110871203
Explicit Nonlinear Model Predictive Control, 2012. ,
DOI : 10.1007/978-3-642-28780-0
Convex polytopes, 1967. ,
Implications of Inverse Parametric Optimization in Model Predictive Control, Developments in Model-Based Optimization and Control, pp.49-70, 2015. ,
DOI : 10.1016/S0005-1098(02)00250-9
URL : https://hal.archives-ouvertes.fr/hal-01259959
Embedded linear model predictive control for 8-bit microcontrollers via convex lifting, the 20th IFAC World Congress, 2017. ,
DOI : 10.1016/j.ifacol.2017.08.2220
Recognizing Voronoi Diagrams with Linear Programming, ORSA Journal on Computing, vol.4, issue.4, pp.369-374, 1992. ,
DOI : 10.1287/ijoc.4.4.369
Multi-Parametric Toolbox 3.0, European Control Conference (ECC), pp.502-510, 2013. ,
The quadruple-tank process: a multivariable laboratory process with an adjustable zero, IEEE Transactions on Control Systems Technology, vol.8, issue.3, pp.456-465, 2000. ,
DOI : 10.1109/87.845876
Clipping-Based Complexity Reduction in Explicit MPC, IEEE Transactions on Automatic Control, vol.57, issue.7, pp.1878-1883, 2012. ,
DOI : 10.1109/TAC.2011.2179428
Complexity reduction of explicit model predictive control via separation, Automatica, vol.49, issue.6, pp.1776-1781, 2013. ,
DOI : 10.1016/j.automatica.2013.02.018
On region-free explicit model predictive control, 2015 54th IEEE Conference on Decision and Control (CDC), pp.3669-3674, 2015. ,
DOI : 10.1109/CDC.2015.7402788
On reciprocal diagrams and diagrams of forces, Philosophical Magazine, vol.4, issue.27, pp.250-261 ,
Explicit robust constrained control for linear systems: analysis, implementation and design based on optimization, 2015. ,
URL : https://hal.archives-ouvertes.fr/tel-01261034
Fully Inverse Parametric Linear/Quadratic Programming Problems via Convex Liftings, Developments in Model-Based Optimization and Control, pp.27-47 ,
DOI : 10.1016/S0005-1098(02)00250-9
URL : https://hal.archives-ouvertes.fr/hal-01259951
Any discontinuous PWA function is optimal solution to a parametric linear programming problem, 2015 54th IEEE Conference on Decision and Control (CDC) ,
DOI : 10.1109/CDC.2015.7403151
URL : https://hal.archives-ouvertes.fr/hal-01259879
On the lifting problems and their connections with piecewise affine control law design, 2014 European Control Conference (ECC), pp.2164-2169, 2014. ,
DOI : 10.1109/ECC.2014.6862605
URL : https://hal.archives-ouvertes.fr/hal-01087243
Explicit hybrid model-predictive control: The exact solution, Automatica, vol.58, pp.152-159 ,
DOI : 10.1016/j.automatica.2015.05.021
A parameterized polyhedra approach for explicit constrained predictive control, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601), pp.1580-1585, 2004. ,
DOI : 10.1109/CDC.2004.1430269
Polyhedral partitions and stresses, 1999. ,
Theory of linear and integer programming, 1998. ,
Lifting planar graphs to realize integral 3-polytopes and topics in pseudo-triangulations Characterisation of receding horizon control for constrained linear systems, Ph.D. dissertation, Fachbereich Mathematik und Informatik der Freien, pp.271-286, 2003. ,
Evaluation of piecewise affine control via binary search tree, Automatica, vol.39, issue.5, pp.945-950, 2003. ,
DOI : 10.1016/S0005-1098(02)00308-4