• Continuity of Formal Power Series Products in Nonlinear Control Theory 

      Gray, W. Steven; Palmstrøm, Mathias; Schmeding, Alexander (Peer reviewed; Journal article, 2022)
      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 and learning systems, the coefficients of ...
    • The Faá di Bruno Hopf algebra for multivariable feedback recursions in the center problem for higher order Abel equations 

      Ebrahimi-Fard, Kurusch; Gray, W. Steven (Peer reviewed; Journal article, 2019)
      Poincaré’s center problem asks for conditions under which a planar polynomial system of ordinary differential equations has a center. It is well understood that the Abel equation naturally describes the problem in a ...
    • Universal Zero Dynamics: The SISO Case 

      Ebrahimi-Fard, Kurusch; Gray, W. Steven; Schmeding, Alexander (Chapter, 2021)
      Given a single-input, single-output (SISO) system with a Chen-Fliess series representation whose generating series has a well defined relative degree, it is shown that there is a notion of universal zero dynamics that ...
    • Zeroing the Output of Nonlinear Systems Without Relative Degree 

      Ebrahimi-Fard, Kurusch; Gray, W. Steven; Schmeding, Alexander (Book, 2023)
      The goal of this paper is to establish some facts concerning the problem of zeroing the output of an input-output system that does not have relative degree. The approach taken is to work with systems that have Chen-Fliess ...
    • Zeroing the Output of Nonlinear Systems Without Relative Degree 

      Gray, W. Steven; Ebrahimi-Fard, Kurusch; Schmeding, Alexander (Chapter, 2023)
      The goal of this paper is to establish some facts concerning the problem of zeroing the output of an input-output system that does not have relative degree. The approach taken is to work with systems that have Chen-Fliess ...