Constrained Zonotope

In CORA, constrained zonotopes are instantiated by

% cZ = conZonotope(c,G,A,b);

where c is the zonotope center, G is the generator matrix, A is the constraint matrix, and b is the constraint offset.

Example:

% initialize constrained zonotope

c = [0;0];

G = [1 0 1; 1 2 -1];

A = [-2 1 1];

b = 2;

cZ = conZonotope(c,G,A,b);

% plot constrained zonotope

plot(cZ);

For more information, type

help conZonotope
  conZonotope - object constructor for constrained zonotopes [1]
 
  Description:
     This class represents constrained zonotope objects defined as
     {c + G * beta | ||beta||_Inf <= 1, A * beta = b}.
 
  Syntax:
     obj = conZonotope(c,G)
     obj = conZonotope(c,G,A,b)
     obj = conZonotope(Z)
     obj = conZonotope(Z,A,b)
 
  Inputs:
     c - center vector of the zonotope
     G - generator matrix of the zonotope
     Z - matrix containing zonotope center and generators Z = [c,G]
     A - constraint matrix A*beta = b
     b - constraint vector A*beta = b
 
  Outputs:
     obj - generated conZonotope object
 
  Example: 
     c = [0;0];
     G = [3 0 1; 0 2 1];
     A = [1 0 1]; b = 1;
     cZ = conZonotope(c,G,A,b);
     plot(cZ);
 
  References:
     [1] Scott, Joseph K., et al. "Constrained zonotopes:
            A new tool for set-based estimation and fault detection."
            Automatica 69 (2016): 126-136.
 
  Other m-files required: none
  Subfunctions: none
  MAT-files required: none
 
  See also: interval

    Documentation for conZonotope
    Other uses of conZonotope
    Folders named conZonotope