A Formal Power Series Approach to Multiplicative Dynamic and Static Output Feedback

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 desc...

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Bibliographic Details
Published inIFAC-PapersOnLine Vol. 55; no. 30; pp. 174 - 179
Main Author Venkatesh, G.S.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 2022
Subjects
93B25
93B52
Chen-Fliess series
Multiplicative output feedback AMS subject classification: 93C10
Nonlinear systems
93B25
Nonlinear systems
Chen-Fliess series
93B52
Multiplicative output feedback AMS subject classification: 93C10
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ISSN2405-8963
2405-8963
DOI10.1016/j.ifacol.2022.11.048

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Summary: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.
ISSN:2405-8963
2405-8963
DOI:10.1016/j.ifacol.2022.11.048