Given a single-input, single-output (SISO) system, F, and a function y in the range of F, the
left inversion problem is to determine an input u such that y= F [u]. The goal of this paper is to …

Given two nonlinear input–output systems written in terms of Chen–Fliess functional
expansions, ie, Fliess operators, it is known that the feedback interconnected system is …

A complete analysis is presented of the radii of convergence of the parallel, product,
cascade and feedback interconnections of analytic nonlinear input-output systems …

Functional series representations of nonlinear systems first appeared in engineering in the
early 1950's. One common representation of a nonlinear input-output system are Chen …

The notion of system identification entropy is defined for the class of analytic nonlinear input-
output systems having Chen-Fliess series representations. This quantity describes the …

This paper describes the radius of convergence of a self-excited feedback interconnection of
two convergent Fliess operators. For either locally convergent or globally convergent …

Many of the vital services of everyday life depend on highly complex and interconnected
engineering systems; these systems consist of large number of interconnected sensors …

A complete analysis is presented of the radii of convergence of the parallel, product,
cascade and unity feedback interconnections of analytic nonlinear input-output systems …

This paper has two main objectives. The first is to introduce a notion of entropy that is well
suited for the analysis of nonlinear input-output systems that have a Chen-Fliess series …

A common representation of an input-output system in nonlinear control theory is the Chen-
Fliess functional series or fliess operator. Such a functional series is said to be globally …