18 citations · 50 across the 11 of their papers we have counts for
11 papers
Decompositions of Nonlinear Input-Output Systems to Zero the Output
W. Steven Gray, Kurusch Ebrahimi-Fard, Alexander Schmeding
Consider an input-output system where the output is the tracking error given some desired reference signal. It is natural to consider under what conditions the problem has an exact…
Entropy of Generating Series for Nonlinear Input-Output Systems and Their Interconnections
W. Steven Gray
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 ser…
Formal Power Series Approach to Nonlinear Systems with Additive Static Feedback
G. S. Venkatesh, W. Steven Gray
The goal of this paper is to compute the generating series of a closed-loop system when the plant is described in terms of a Chen-Fliess series and an additive static output feedba…
Additive Networks of Chen-Fliess Series: Local Convergence and Relative Degree
W. Steven Gray, Luis A. Duffaut Espinosa, Kurusch Ebrahimi-Fard
Given an additive network of input-output systems where each node of the network is modeled by a locally convergent Chen-Fliess series, two basic properties of the network are esta…
Continuity of Formal Power Series Products in Nonlinear Control Theory
W. Steven Gray, Mathias Palmstrøm, Alexander Schmeding
Formal power series products appear in nonlinear control theory when systems modeled by Chen-Fliess series are interconnected to form new systems. In fields like adaptive control a…
Generating Series for Networks of Chen-Fliess Series
W. Steven Gray, Kurusch Ebrahimi-Fard
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 fin…