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.
- nonlinear control systems
- transfer functions
- state-space methods
- realisation theory
Leith, D. J., & 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 (pp. 2937-2942). IEEE. https://doi.org/10.1109/ACC.2003.1243771