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Author Puri, A. ♦ Varaiya, P. ♦ Borkar, V.
Source IEEE Xplore Digital Library
Content type Text
Publisher Institute of Electrical and Electronics Engineers, Inc. (IEEE)
File Format PDF
Copyright Year ©1995
Language English
Subject Domain (in DDC) Technology ♦ Engineering & allied operations ♦ Other branches of engineering
Subject Keyword Road safety ♦ Vehicle safety ♦ Differential equations ♦ Road vehicles ♦ Automated highways
Abstract For a Lipschitz differential inclusion x/spl dot//spl isin/f(x), we give a method to compute an arbitrarily close approximation of Reach/sub f/(X/sub 0/,t)-the set of states reached after time t starting from an initial set X/sub 0/. We also define a finite sample graph, A/sup /spl epsiv//, of the differential inclusion x/spl dot//spl isin/f(x). Every trajectory /spl phi/ of the differential inclusion x/spl dot//spl isin/f(x) is also a "trajectory" in A/sup e/. And every "trajectory" /spl eta/ of A/sup e/ has the property that dist(/spl eta//spl dot/(t),f(/spl eta/(t)))/spl les//spl epsiv/. Using this, we can compute the /spl epsiv/-invariant sets of the differential inclusion-the sets that remain invariant under small perturbations in f.
Description Author affiliation: Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA (Puri, A.; Varaiya, P.)
ISBN 0780326857
ISSN 01912216
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research ♦ Reading
Education Level UG and PG
Learning Resource Type Article
Publisher Date 1995-12-13
Rights Holder Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Size (in Bytes) 576.54 kB
Page Count 6
Starting Page 2892
Ending Page 2897

Source: IEEE Xplore Digital Library