Title :
Ellipsoidal Toolbox (ET)
Author :
Kurzhanskiy, Alex A. ; Varaiya, Pravin
Author_Institution :
Dept. of Electron. Eng. & Comput. Sci., California Univ., Berkeley, CA
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
Keywords :
calculus; continuous time systems; discrete time systems; geometry; linear systems; mathematics computing; software packages; Ellipsoidal Toolbox; MATLAB package; Minkowski sums; backward reach set; continuous-time piecewise affine system; discrete-time piecewise affine system; ellipsoidal calculus; forward reach set; geometric sums; Calculus; Control systems; Ellipsoids; Level set; Linear systems; MATLAB; Packaging; Piecewise linear techniques; Reachability analysis; USA Councils;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377036
