二重有理级数:认识与实现

2022 56th Annual Conference on Information Sciences and Systems (CISS) Pub Date : 2022-03-09 DOI:10.1109/CISS53076.2022.9751193

G. Venkatesh

{"title":"二重有理级数:认识与实现","authors":"G. Venkatesh","doi":"10.1109/CISS53076.2022.9751193","DOIUrl":null,"url":null,"abstract":"The goal of this paper is to introduce the notion of a doubly-rational formal power series and two equivalent characterizations, one in terms of an analogue of recognizability of a series, and the other in the context of state space realizations of nonlinear input-output systems represented by Chen-Fliess series. As an application, it is shown how to model a bilinear system with output saturation in this context.","PeriodicalId":305918,"journal":{"name":"2022 56th Annual Conference on Information Sciences and Systems (CISS)","volume":"34 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Doubly-Rational Series: Recognizability and Realizations\",\"authors\":\"G. Venkatesh\",\"doi\":\"10.1109/CISS53076.2022.9751193\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The goal of this paper is to introduce the notion of a doubly-rational formal power series and two equivalent characterizations, one in terms of an analogue of recognizability of a series, and the other in the context of state space realizations of nonlinear input-output systems represented by Chen-Fliess series. As an application, it is shown how to model a bilinear system with output saturation in this context.\",\"PeriodicalId\":305918,\"journal\":{\"name\":\"2022 56th Annual Conference on Information Sciences and Systems (CISS)\",\"volume\":\"34 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-03-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2022 56th Annual Conference on Information Sciences and Systems (CISS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CISS53076.2022.9751193\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2022 56th Annual Conference on Information Sciences and Systems (CISS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CISS53076.2022.9751193","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

本文的目标是引入二重有理形式幂级数的概念和两个等价的表征，一个是关于级数的可识别性的模拟，另一个是在以Chen-Fliess级数表示的非线性输入输出系统的状态空间实现的背景下。作为一个应用，它展示了如何在这种情况下对输出饱和的双线性系统建模。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Doubly-Rational Series: Recognizability and Realizations

The goal of this paper is to introduce the notion of a doubly-rational formal power series and two equivalent characterizations, one in terms of an analogue of recognizability of a series, and the other in the context of state space realizations of nonlinear input-output systems represented by Chen-Fliess series. As an application, it is shown how to model a bilinear system with output saturation in this context.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

2022 56th Annual Conference on Information Sciences and Systems (CISS)

自引率

0.00%

发文量