ellipsoids

Ellipsoidal Toolbox (ET) is a standalone set of easy-to-use configurable MATLAB routines and classes to perform operations with ellipsoids and hyperplanes of arbitrary dimensions. It computes the external and internal ellipsoidal approximations of geometric (Minkowski) sums and differences of ellipsoids, intersections of ellipsoids and intersections of ellipsoids with halfspaces and polytopes; distances between ellipsoids, between ellipsoids and hyperplanes, between ellipsoids and polytopes; and projections onto given subspaces.

Ellipsoidal methods are used to compute forward and backward reach sets of continuous- and discrete-time piecewise affine systems. Forward and backward reach sets can be also computed for piecewise linear systems ith disturbances. It can be verified if computed reach sets intersect with given ellipsoids, hyperplanes, or polytopes.

For more information please refer to Ellipsoidal Toolbox website

Contact / Support

• Found ET useful for something?
• Found a bug and wish to report it?
• Have questions, suggestions or feature requests?
• Wish to contribute to the ET development?

Please, contact Peter Gagarinov, Alex Kurzhanskiy or report an issue.