An Analysis of Fast-Slow Systems

This paper discusses the construction of an approximate solutionto the standard fast-slow system of equations. The usual representationin terms of a fast vector and a slow vector is shown to be satisfactoryonly when certain matrices are neither ill conditioned nor near-orthogonal.Applications of the results to certain control problems areinvestigated. This paper was written while on Leave of Absence at the Departmentof Mathematics, University of Salford, Salford.