mpt_plotPWQ

MPT_PLOTPWQ Plots a PWQ function defined over polyhedral partition

 handle = mpt_plotPWQ(Pn,Q,L,C,meshgridpoints,Options);

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 DESCRIPTION
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 Plots a PWQ function defined over a given polyhedral partition.

 PWQ = x'Qx + Lx + C.

 This function could be used either to plot PWQ Lyapunov function
 obtained by mpt_getPWQLyapFct or to plot the piece-wise quadratic
 cost function of an explicit solution

 USAGE:
   mpt_plotPWQ(Pn,Ai,Bi,Ci)           to plot PWQ function over Pn

 NOTE:
   If Pn contains overlapping regions, this function will only plot the lowest
   value associated to given points.

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 INPUT
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 Pn                - Polyhedral partition given by the polytope array Pn
 Q,L,C             - Cells containing parameters of the PWQ function x'Qx+x'L+C
 meshgridpoints    - number of grid points in one axis,
                     (default: 30)
 Options.drawnow   - Whether or not to use the drawnow command to refresh the
                     current plot (default is true)
 Options.shade     - Level of transparency (0 = fully transparent, 1 = solid)
 Options.edgecolor - specifies the color of edges. Default: 'k'.
 Options.edgewidth - specifies the width of edges. Default: 0.5.
 Options.lpsolver  - Solver for LPs when (and if) computing bounding box of Pn,
                     (default: mptOptions.lpsolver)
 Options.newfigure - If set to 1, opens a new figure window,
                     (default: mptOptions.newfigure)
 Options.showPn    - If set to 1, plots on polyhedral sets Pn,
                     (default: 1)
 Options.samecolors - If set to 1, pieces of PWA function will be plotted
                      in the same colors as the partition below
                      (default: 0)
 Options.min_x1    - Rectangular space where PWQ function is computed
                     (default: bounding box on Pn)
 Options.max_x1    - Rectangular space where PWQ function is computed
                     (default: bounding box on Pn)
 Options.min_x2    - Rectangular space where PWQ function is computed
                     (default: bounding box on Pn)
 Options.max_x2    - Rectangular space where PWQ function is computed
                     (default: bounding box on Pn)

 Note: If Options is missing or some of the fields are not defined, the default
       values from mptOptions will be used

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 OUTPUT                                                                                                    
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 handle.PWQ        - handle of the PWQ function
 handle.Pn         - handle of the plotted partition

 see also MPT_PLOTPWA, MPT_PLOTJ