Ellipsoid

In CORA, ellipsoids are instantiated by

% E = ellipsoid(Q,q);

where Q is the positive semi-definite shape matrix and q is the center.

Example:

% initialize ellipsoid

Q = [1 -1; -1 2];

q = [2;1];

E = ellipsoid(Q,q);

% plot ellipsoid

plot(E);

For more information, type

help ellipsoid
  ellipsoid - object constructor for ellipsoids
  Some ideas for this class have been extracted from [1].
 
  Description:
     This class represents ellipsoid objects defined as
     {x | (x - q)' * Q^(-1) (x - q) <= 1}
     in the non-degenerate case, and are defined using the support function
     of ellipsoids (see ellipsoid/supportFunc.m for details) in the general
     case.
 
  Syntax:
     ellipsoid(E)
     ellipsoid(Q)
     ellipsoid(Q,q)
     ellipsoid(Q,q,TOL)
 
  Inputs:
     E - ellipsoid object
     Q - square, positive semi-definite shape matrix
     q - center vector
     TOL - tolerance
 
  Outputs:
     obj - generated ellipsoid object
 
  Example:
     Q = [2.7 -0.2;-0.2 2.4];
     q = [1;2];
     E = ellipsoid(Q, q);
   
  Other m-files required: none
  Subfunctions: none
  MAT-files required: none
 
  See also: none
 
  References:
    [1] Kurzhanskiy, A.A. and Varaiya, P., 2006, December. Ellipsoidal
        toolbox (ET). In Proceedings of the 45th IEEE Conference on
        Decision and Control (pp. 1498-1503). IEEE.

    Documentation for ellipsoid
    Other uses of ellipsoid
    Folders named ellipsoid