Chen-Fliess Series beyond their execution time
Boudaghi, Farnaz
Boudaghi, Farnaz
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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.
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Date
2025-06-02
Student Status
Graduate
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Oral Paper Presentation
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Electrical Engineering
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College of Engineering and Mathematical Sciences
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Engineering and Math Science