Although some of the operations with ellipsoids are present in the commercial Geometric Bounding Toolbox ([VER2001], [GEOMHP]), the ellipsoid-related functionality of that toolbox is rather limited.
Ellipsoidal Toolbox is the first free MATLAB package that implements ellipsoidal calculus and uses ellipsoidal methods for reachability analysis of continuous- and discrete-time affine systems, continuous-time linear systems with disturbances and switched systems, whose dynamics changes at known times. The reach set computation for hybrid systems whose guards are hyperplanes or polyhedra is not implemented explicitly, but the tool for such computation exists, namely, the operations of intersection of ellipsoid with hyperplane and ellipsoid with halfspace.
| [VER2001] | Veres, S. M., A. V. Kuntsevich, I. V. Vályi, S. Hermsmeyer, and D. S. Wall. 2001. Geometric Bounding Toolbox for MATLAB. MATLAB/Simulink Connections Catalogue. |
| [GEOMHP] | Geometric Bounding Toolbox Homepage. www.sysbrain.com/gbt. |