DocumentCode
1365275
Title
Solving singular systems using orthogonal functions
Author
Campbell, Stephen L.
Author_Institution
Dept. of Math., Center for Res. in Sci. Comput., North Carolina State Univ., Raleigh, NC, USA
Volume
137
Issue
4
fYear
1990
fDate
7/1/1990 12:00:00 AM
Firstpage
222
Lastpage
224
Abstract
Orthogonal functions, and, in particular, Walsh functions, have been advocated in the literature as a method of approximating the solutions of singular systems Ex´=Fx+Bu of index k. The paper gives the first analysis of the accuracy of these approximations. For Walsh functions, divergence is shown for k>or=3 and convergence for k=0,1. The k=2 case is also analysed.
Keywords
Walsh functions; control system analysis; matrix algebra; Walsh functions; convergence; orthogonal functions; singular systems;
fLanguage
English
Journal_Title
Control Theory and Applications, IEE Proceedings D
Publisher
iet
ISSN
0143-7054
Type
jour
Filename
56136
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