It starts approximating the reach set with one external (blue) and one internal (green) ellipsoids, then the number of approximating ellipsoids is doubled – now there are two external and two internal, then it is doubled again – now there are four of each, finally, there are 32 external and 32 internal ellipsoids. In case you use ET in your research, we would greatly appreciate if you added a reference to this projectyour publications. You can also join ET discussion group and ET unit testing notification group. If you Found a bug and wish to report it - create an issue following these instructions. Please, contact Peter Gagarinov, Alex Kurzhanskiy.
This toolbox is used for a variable substitution in system parametersĪ legacy version for old versions of Matlab (missing a LOT of new features) This toolbox is used for interpolation of system parameters and other internal needs
The toolbox provides efficient plotting routines for ellipsoids, hyperplanes and reach sets.Ī latest version compatible with Matlab 2015b 32/64bit for Windows (recommended) It can be verified if computed reach sets intersect with given ellipsoids, hyperplanes, or polytopes. Forward and backward reach sets can be also computed for piecewise linear systems with disturbances. 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.Įllipsoidal methods are used to compute forward and backward reach sets of continuous- and discrete-time piecewise affine systems. 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.