The goal of the paper is two-fold. The first of which is to derive an explicit formula to compute the generating series of a closed-loop system when a plant, given in a Chen-Fliess series description is in multiplicative output feedback connection with another system given in Chen-Fliess series description. In addition, the multiplicative dynamic output feedback connection has a natural interpretation as a transformation group acting on the plant. The second of the two-part goal of this paper is same as the first part albeit when the Chen-Fliess series in the feedback is replaced by a memoryless map, so called multiplicative static feedback connection.
© 2022 The Author.
This is an open access article under the Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) license.
Original Publication Citation
Venkatesh, G.S. (2022) A formal power series approach to multiplicative dynamic and static output feedback. IFAC-PapersOnLine, 55(30), 174-179.
Guggilam, Venkatesh Subbarao, "A Formal Power Series Approach to Multiplicative Dynamic and Static Output Feedback" (2022). Electrical & Computer Engineering Faculty Publications. 348.