Accession Number : ADA190881
Title : Solving Singular Systems Using Orthogonal Functions.
Descriptive Note : Technical rept.,
Corporate Author : NORTH CAROLINA STATE UNIV AT RALEIGH CENTER FOR RESEARCH IN SCIENTIFIC COMPUTA TION
Personal Author(s) : Campbell, Stephen L ; Yeomans, Kevin D
PDF Url : ADA190881
Report Date : 08 Oct 1987
Pagination or Media Count : 10
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. This 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 index two case is also analyzed. Keywords: Singular control systems; Constant matrices; Coefficients.
Descriptors : *ORTHOGONALITY, *WALSH FUNCTIONS, ACCURACY, COEFFICIENTS, CONTROL SYSTEMS, INDEXES, SOLUTIONS(GENERAL), CONVERGENCE, APPROXIMATION(MATHEMATICS)
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE