Entropy of Generating Series for Nonlinear Input-Output Systems and Their Interconnections

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• ISSN: 1815-0659
• Main Author: Gray, W. Steven
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211822
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Entropy of Generating Series for Nonlinear Input-Output Systems and Their Interconnections. W. Steven Gray. SIGMA 18 (2022), 082, 15 pages

This paper has two main objectives. The first step is to introduce a notion of entropy that is well-suited for analyzing nonlinear input-output systems with a Chen-Fliess series representation. The latter is defined in terms of its generating series over a noncommutative alphabet. The idea is to ass...