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IMA Journal of Mathematical Control and Information 1999 16(2):165-178; doi:10.1093/imamci/16.2.165
© 1999 by Institute of Mathematics and its Applications
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Minimal equivalence of differential IO systems

X. Y. LU {dagger} and D. J. BELL {ddagger}

Department of Engineering, University of Leicester Leicester LEI 7RH, UK
Department of Mathematics, UMIST P. O. Box 88, Manchester M60 1QD, UK

Differential algebraic controllability, observability, and minimal realization are considered further, upon which a new equivalence problem, i.e. the minimal equivalence of two given differential input-output (IO) systems through state-space realization is considered. Some criteria for equivalence and minimal equivalence of two IO systems are given. The algorithm for checking minimal equivalence of two IO systems with single input is implemented with MACSYMA.

{dagger} Email: xyl{at}sun.engg.le.ac.uk

{ddagger} David.Bell{at}umist.ac.uk


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