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 : 10.1007/BF02187870
Recognising polytopical cell complexes and constructing projection polyhedra, Journal of Symbolic Computation, vol.3, issue.3, pp.249-255, 1987. ,
DOI : 10.1016/S0747-7171(87)80003-2
URL : http://doi.org/10.1016/s0747-7171(87)80003-2
Voronoi diagrams---a survey of a fundamental geometric data structure, ACM Computing Surveys, vol.23, issue.3, pp.345-405, 1991. ,
DOI : 10.1145/116873.116880
Every Continuous Nonlinear Control System Can be Obtained by Parametric Convex Programming, IEEE Transactions on Automatic Control, vol.53, issue.8, pp.1963-1967, 2008. ,
DOI : 10.1109/TAC.2008.928131
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
Plane self stresses and projected polyhedra 1: the basic pattern, Structural Topology, vol.19, pp.55-73, 1993. ,
Spaces of stresses, projections and parallel drawings for spherical polyhedra. Contributions to Algebra and Geometry, pp.259-281, 1994. ,
Convex polytopes, 1967. ,
Inverse Parametric Quadratic Programming and an Application to Hybrid Control, 4th IFAC Nonlinear Model Predictive Control Conference International Federation of Automatic Control, 2012. ,
DOI : 10.3182/20120823-5-NL-3013.00033
Every continuous piecewise affine function can be obtained by solving a parametric linear program, European Control Conference, 2013. ,
On reciprocal diagrams and diagrams of forces. Philosophical Magazine, ser. 4, pp.250-261 ,
On the lifting problems and their connections with piecewise affine control law design, 2014 European Control Conference (ECC), 2014. ,
DOI : 10.1109/ECC.2014.6862605
URL : https://hal.archives-ouvertes.fr/hal-01087243
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
Avoiding constraints redundancy in predictive control optimization routines. Automatic Control, IEEE Transactions on, vol.50, issue.9, pp.1459-1465, 2005. ,
Polyhedral Partitions and Stresses, 1999. ,
Lifting Planar Graphs to Realize Integral 3- Polytopes and Topics in Pseudo-Triangulations, 2008. ,
Characterisation Of Receding Horizon Control For Constrained Linear Systems, Asian Journal of Control, vol.6, issue.6, pp.271-286, 2003. ,
DOI : 10.1111/j.1934-6093.2003.tb00118.x
Model predictive control tuning by controller matching. Automatic Control, IEEE Transactions on, vol.55, issue.1, pp.185-190, 2010. ,
An algorithm for multi-parametric quadratic programming and explicit MPC solutions, Automatica, vol.39, issue.3, pp.489-497, 2003. ,
DOI : 10.1016/S0005-1098(02)00250-9