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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.