Ellipsoidal Toolbox (ET)
Kurzhanskiy, A.A.
Varaiya, P.
Dept. of Electron. Eng. & Comput. Sci., California Univ., Berkeley, CA;
This paper appears in: Decision and Control, 2006 45th IEEE Conference on
Publication Date: 13-15 Dec. 2006
On page(s): 1498-1503
Location: San Diego, CA,
ISBN: 1-4244-0171-2
INSPEC Accession Number: 9483481
Digital Object Identifier: 10.1109/CDC.2006.377036
Current Version Published: 2007-05-07
Abstract
Ellipsoidal Toolbox is the first free MATLAB package that implements the operations of ellipsoidal calculus: geometric (Minkowski) sums and differences of ellipsoids, intersections of ellipsoids, and ellipsoids with hyperplanes and polyhedra. The toolbox uses ellipsoidal methods 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 continuous-time piece-wise linear systems with disturbances
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