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