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 useful representation of an input-output map in a nonlinear control system is the Chen-
Fliess functional series or Fliess operator. It can be viewed as a noncommutative …

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

The primary goal 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 …

Abstract Model continuity plays an important role in applications like system identification,
adaptive control, and machine learning. This paper provides sufficient conditions under …

A classical result in linear system theory is that a causal linear time-varying (LTV) system
has a smooth finite dimensional realization if and only if its impulse response exhibits a …

Fliess operators with deterministic inputs have been studied since the late 1970's and are
well understood. When the inputs are stochastic processes the theory is less developed …

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 …

Fliess operators, which are a type of functional series expansion, have been used to
describe a broad class of nonlinear input–output maps driven by deterministic inputs. But in …