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On the Post-Lie Structure in SISO Affine Feedback Control Systems

Published 7 Nov 2023 in math.OC | (2311.04070v2)

Abstract: The main objective of this work is to show that the single-input, single-output (SISO) affine feedback group, a transformation group in the context of the affine feedback interconnection of Chen-Fliess series, is a post-group in the sense of Bai, Guo, Sheng and Tang.

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