Chen-Fliess Series beyond their execution time
Abstract
Chen-Fliess functional series provide a representation for a large class of nonlinear input-output systems. Like any infinite series, however, their applicability is limited by their radii of convergence. The goal of this research is to present a computationally feasible method to re-centering a Chen-Fliess series in order to expand its time horizon. It extends the existing results by taking a simpler combinatorial approach to obtain a close form of Chen-Fliess re-centering formula that draws directly on the analogous re-centering problem for Taylor series. This formula effectively increases the life of the representation beyond the execution time. An illustrative example is presented.
Primary Faculty Mentor Name
Rachael Floreani
Status
Graduate
Student College
College of Engineering and Mathematical Sciences
Program/Major
Electrical Engineering
Primary Research Category
Engineering and Math Science
Chen-Fliess Series beyond their execution time
Chen-Fliess functional series provide a representation for a large class of nonlinear input-output systems. Like any infinite series, however, their applicability is limited by their radii of convergence. The goal of this research is to present a computationally feasible method to re-centering a Chen-Fliess series in order to expand its time horizon. It extends the existing results by taking a simpler combinatorial approach to obtain a close form of Chen-Fliess re-centering formula that draws directly on the analogous re-centering problem for Taylor series. This formula effectively increases the life of the representation beyond the execution time. An illustrative example is presented.