Generating Series for Networks of Chen-Fliess Series
arXiv:2007.00743 · doi:10.1016/j.sysconle.2020.104827
Abstract
Consider a set of single-input, single-output nonlinear systems whose input-output maps are described only in terms of convergent Chen-Fliess series without any assumption that finite dimensional state space models are available. It is shown that any additive or multiplicative interconnection of such systems always has a Chen-Fliess series representation that can be computed explicitly in terms of iterated formal Lie derivatives.
arXiv commentAdded and updated references, fixed typos