DocumentCode
2464264
Title
Ellipsoidal Toolbox (ET)
Author
Kurzhanskiy, Alex A. ; Varaiya, Pravin
Author_Institution
Dept. of Electron. Eng. & Comput. Sci., California Univ., Berkeley, CA
fYear
2006
fDate
13-15 Dec. 2006
Firstpage
1498
Lastpage
1503
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2006 45th IEEE Conference on
Conference_Location
San Diego, CA
Print_ISBN
1-4244-0171-2
Type
conf
DOI
10.1109/CDC.2006.377036
Filename
4177049
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