DocumentCode :
829093
Title :
The propagation of parametric uncertainty via polytopes
Author :
Barmish, B. Ross ; Sankaran, Jaishankar
Author_Institution :
University of Rochester, Rochester, NY, USA
Volume :
24
Issue :
2
fYear :
1979
fDate :
4/1/1979 12:00:00 AM
Firstpage :
346
Lastpage :
349
Abstract :
We consider the discrete dynamical system x(k+1)= A(k)x(k) with n2independently varying uncertainties in the entries of A (\\cdot) . Although the set of possible states X(k) at time k is not necessarily convex, we show that the convex hull of this set can be recursively propagated forward in time.
Keywords :
Linear systems, time-varying discrete-time; Uncertain systems; Additive noise; Jacobian matrices; Leg; Linear systems; Open loop systems; Optimal control; Random variables; Stochastic resonance; Stochastic systems; Uncertainty;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1979.1102011
Filename :
1102011
Link To Document :
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