Generating series for networks of Chen–Fliess series

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2021Embargo end date: 01 Jul 2020 English Publisher:Elsevier BVJournal:Systems & Control Letters, volume 147, page 104,827 (issn: 0167-6911,

Copyright policy )Funded by:RCN | Computational Dynamics an..., NSF | EAGER/Collaborative Resea...

Authors: W. Steven Gray; Kurusch Ebrahimi-Fard;

doi: 10.1016/j.sysconle.2020.104827 , 10.48550/arxiv.2007.00743

arXiv: 2007.00743

Generating series for networks of Chen–Fliess series

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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.

Added and updated references, fixed typos

Related Organizations

Norwegian University of Science and Technology
Norway
Old Dominion University
United States

Keywords

networks of systems, Chen-Fliess series, Systems and Control (eess.SY), nonlinear control systems, Electrical Engineering and Systems Science - Systems and Control, Optimization and Control (math.OC), Networked control, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, 93C10 (Primary) 22E70 (Secondary), Nonlinear systems in control theory, Mathematics - Optimization and Control

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