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
fDate :
7/1/1990 12:00:00 AM
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;
Journal_Title :
Control Theory and Applications, IEE Proceedings D
