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IMA Journal of Mathematical Control and Information 1985 2(4):295-317; doi:10.1093/imamci/2.4.295
© 1985 by Institute of Mathematics and its Applications
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An Analysis of Fast-Slow Systems

V. A. NYE

Department of Mathematics, University of Strathclyde Glasgow, Scotland {dagger}

This paper discusses the construction of an approximate solution to the standard fast-slow system of equations. The usual representation in terms of a fast vector and a slow vector is shown to be satisfactory only when certain matrices are neither ill conditioned nor near-orthogonal. Applications of the results to certain control problems are investigated.

{dagger} This paper was written while on Leave of Absence at the Department of Mathematics, University of Salford, Salford.


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