Title :
A unified approach to generating series for nonlinear cascade systems
Author_Institution :
Dept. of Electr. & Comput. Eng., Old Dominion Univ., Norfolk, VA, USA
Abstract :
The goal of the paper is to describe in a unified fashion the generating series for the cascade connection of any two analytic nonlinear input-output systems. In particular, it will be shown that a single general definition of a composition product can be formulated in terms of formal power series to describe any possible cascade connection of Fliess operators or memoryless maps provided that the composite system is well defined and resides in one of these two classes.
Keywords :
cascade systems; nonlinear systems; Fliess operators; analytic nonlinear input-output systems; cascade connection; composite system; formal power series; memoryless maps; nonlinear cascade systems; Books; Combinatorial mathematics; Interconnected systems; Kernel; Machinery; Polynomials; Power generation; Power system interconnection; Taylor series;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5400477
