Description of mpt

DESCRIPTION

===============================================================================

 Title:        mpt_exHyper
                                                             
 Project:      Optimal merging of polyhedra with the same PWA dynamics

 Input:        Hi, Ki: definition of the polyhedral partition
               color.Reg: color of each region
               color.Table: regions with the same color 
               Opt.lpsolver:
               Opt.verbose: 0: silent
                            1: verbose only important information
                            2: verbose everything
               Opt.cdd: 0: don't use cdd
                        1: use cdd

 Output:       M: set of markings. The entries have the following meaning: 
                  -1:   polyhedron is on the - side of the hyperplane; 
                        the hyperplane is a facet of the polyhedron
                  -0.5: polyhedron is on the - side of the hyperplane;
                        the hyperplane is redundant
                   0:   polyhedron is cut by the hyperplane
                  +0.5: polyhedron is on the + side of the hyperplane;
                        the hyperplane is redundant
                  +1:   polyhedron is on the + side of the hyperplane;
                        the hyperplane is a facet of the polyhedron
               color: as for the input
               HypArr: hyperplane arrangement Hi*[xr; ur] = Ki
               dom: domain (redundant hyperplanes have been removed)

 Authors:      Tobias Geyer <geyer@control.ee.ethz.ch>, Fabio D. Torrisi

CROSS-REFERENCE INFORMATION

get GET Get MPTCTRL properties

length LENGTH Returns number of regions over which the explicit control law is defined

double DOUBLE Function used to access internal properties of the given polytope

end END Returns the last element in a given polytope array

get GET Get polytope properties

isinside ISINSIDE Checks if a given point lies in the interior of a given polytope

length LENGTH Returns number of elements in a polytope array

size SIZE Returns size of the given polytope object

unique UNIQUE Removes redundant entries from a polytope array

mpt_hyparr2 ===============================================================================

polyinnerball CHEBYBALL_F Computes center and radius of the largest ball inscribed in a polytope

tg_polyreduce

mpt_optMerge ===============================================================================

mpt_optMergeDivCon ===============================================================================

mpt_exHyperAdv

PURPOSE

SYNOPSIS

DESCRIPTION

CROSS-REFERENCE INFORMATION