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IMA Journal of Mathematical Control and Information 1993 10(4):361-373; doi:10.1093/imamci/10.4.361
© 1993 by Institute of Mathematics and its Applications
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On a certain McMillan-degree condition appearing in control

A. C. PUGH*, N. P. KARAMPETAKIS{dagger}, G. E. HAYTON{ddagger} and A. I. VARDULAKIS{dagger}

*Department of Mathematical Sciences, Loughborough University LE11 3TU, U.K.
{dagger}Department of Mathematics, University of Thessaloniki Thessaloniki 54006, Greece
{ddagger}Department of Electronic Engineering, Hull University Hull HU6 7RX, U.K

The paper presents a number of interpretations of the McMillan-degree conditions appearing in the transformation of full equivalence defined by Hayton et al. in 1988. The most satisfactory explanation seems to be that of guaranteeing the existence of a linear map between the solution sets of the ordinary differential equations which underly the matrices involved in the transformation.


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