论文标题
一种正式的功率系列方法，用于乘法动态和静态输出反馈
A Formal Power Series Approach to Multiplicative Dynamic and Static Output Feedback
论文作者
论文摘要
该论文的目标是两个方面。第一个是得出一个明确的公式，以计算闭环系统的生成序列，当时在Chen-Fliess系列描述中给出的工厂与Chen-Fliess系列描述中给出的另一个系统中给出的综合级数串联描述中给出。此外，该目标扩展表明，乘法动态输出反馈连接具有自然解释为作用于工厂的转化组。本文的两部分目标的第二个与第一部分相同，尽管当反馈中的陈弗里斯系列被无内存的地图取代时。本文提供了一个明确的公式，以在乘法静态输出反馈连接中计算闭环系统的生成系列，并表明静态反馈具有自然解释，作为作用在工厂上的转换组。
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. Further, the objective extends in showing that 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. The paper provides an explicit formula to compute the generating series of a closed-loop system in multiplicative static output feedback connection and shows that the static feedback has a natural interpretation as a transformation group acting on the plant.
