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Strathprints serves world leading Open Access research by the University of Strathclyde, including research by the Strathclyde Institute of Pharmacy and Biomedical Sciences (SIPBS), where research centres such as the Industrial Biotechnology Innovation Centre (IBioIC), the Cancer Research UK Formulation Unit, SeaBioTech and the Centre for Biophotonics are based.

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Necessary and sufficient conditions for the minimal state-space realisation of nonlinear systems from input-output information

Leith, D.J. and Leithead, W.E. (2003) Necessary and sufficient conditions for the minimal state-space realisation of nonlinear systems from input-output information. In: Proceedings of the 2003 American Control Conference. IEEE, pp. 2937-2942. ISBN 0-7803-7896-2

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Abstract

In this note we present an easily verified condition for determining a minimal state space realisation of a class of nonlinear systems using transfer function (input-output) formation only. This result has important implications for systems theory. Examples are given to demonstrate the power of this result.