Code covered by the BSD License
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ell_center_ode(t, x, mydata, ...
% ELL_CENTER_ODE - ODE for the center of the reach set.
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ell_demo1
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ell_demo2
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ell_demo3
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ell_eesm_ode(t, X, l0, mydata...
% ELL_EESM_ODE - ODE for the shape matrix of the external ellipsoid.
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ell_eesm_ode(t, X, l0, mydata...
% ELL_EEDIST_ODE - ODE for the shape matrix of the external ellipsoid
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ell_enclose(V)
% ELL_ENCLOSE - computes minimum volume ellipsoid that contains given vectors.
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ell_fusionlambda(a, q1, Q1, q...
% ELL_FUSIONLAMBDA - function whose root in the interval (0, 1) determines
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ell_iesm_ode(t, X, l0, mydata...
% ELL_IEDIST_ODE - ODE for the shape matrix of the internal ellipsoid
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ell_iesm_ode(t, X, xl0, l0, m...
% ELL_IESM_ODE - ODE for the shape matrix of the internal ellipsoid.
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ell_iesm_ode(t, X, xl0, l0, m...
% ELL_IESM_ODE - ODE for the shape matrix of the internal ellipsoid.
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ell_inv(A)
% ELL_INV - computes matrix inverse treating ill-conditioned matrices properly.
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ell_nlfnlc(objf, x0, nlcf, Op...
% ELL_NLFNLC - computes minimum of nonlinear function with nonlinear constraints.
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ell_ode_solver(fn, t, x0, var...
% ELL_ODE_SOLVER - caller for particular ODE solver.
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ell_plot(x, varargin)
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ell_regularize(Q, delta)
% ELL_REGULARIZE - regularization of singular matrix.
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ell_simdiag(A, B)
% ELL_SIMDIAG - computes the transformation matrix that simultaneously
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ell_square_facets(epoints_num...
% ELL_SQUARE_FACETS - generates square facets to be used in PATCH function call.
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ell_stm_ode(t, x, mydata, n, ...
% ELL_STM_ODE - ODE for state transition matrix.
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ell_triag_facets(epoints_num,...
% ELL_TRIAG_FACETS - generates triangular facets to be used in PATCH function call.
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ell_unitball(n)
% ELL_UNITBALL - creates unit ball object
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ell_valign(v, x)
% ELL_VALIGN - given two vectors in R^n, computes orthogonal matrix that rotates
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ell_value_extract(X, t, dims)
% ELL_VALUE_EXTRACT - extracts matrix value from ppform or vector array.
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ellipsoids_init(varargin)
% ELLIPSOIDS_INIT - initializes Ellipsoidal Toolbox.
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hyperplane2polytope(HA)
% HYPERPLANE2POLYTOPE - converts array of hyperplanes into polytope
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install(root)
% Install Ellipsoidal Toolbox.
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polytope2hyperplane(P)
% POLYTOPE2HYPERPLANE - converts given polytope object into the array
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ellipsoid(varargin)
% ELLIPSOID - constructor of the ellipsoid object.
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hyperplane(v, c)
% HYPERPLANE - creates hyperplane structure (or array of hyperplane structures).
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linsys(A, B, U, G, V, C, W, D...
% LINSYS - constructor for linear system object.
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reach(lsys, X0, L0, T, Option...
% REACH - computes reach set approximation of the linear system for the given
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View all files
Ellipsoidal Toolbox (ET)
by Alex Kurzhanskiy
29 Oct 2008
(Updated 24 Dec 2010)
Implementation of the ellipsoidal calculus and ellipsoidal methods for reachability analysis.
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| File Information |
| Description |
Ellipsoidal Toolbox (ET) is a set of easy-to-use configurable MATLAB routines 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 with disturbances. It can be verified if computed reach sets intersect with given ellipsoids, hyperplanes, or polytopes.
The toolbox provides efficient plotting routines for ellipsoids, hyperplanes and reach sets
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| MATLAB release |
MATLAB 6.5 (R13)
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| Other requirements |
Requires YALMIP (http://users.isy.liu.se/johanl/yalmip/) and SeDuMi (http://sedumi.ie.lehigh.edu/) |
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| Updates |
| 24 Dec 2010 |
bug fixes |
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Contact us at files@mathworks.com
