Controls and Control Theory Commons^™

A Formal Power Series Approach To Multiplicative Dynamic And Static Output Feedback, Venkatesh Subbarao Guggilam

Electrical & Computer Engineering Faculty Publications

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 …