Solving Singular Systems Using Orthogonal Functions.
NORTH CAROLINA STATE UNIV AT RALEIGH CENTER FOR RESEARCH IN SCIENTIFIC COMPUTA TION
Pagination or Media Count:
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.
- Numerical Mathematics