L. Hernández-Martínez, H. Vázquez-Leal, A. Sarmiento-Reyes
{"title":"Identifying positive feedback structures for assessing the uniqueness of the DC solution by using topological conditions","authors":"L. Hernández-Martínez, H. Vázquez-Leal, A. Sarmiento-Reyes","doi":"10.1109/ICCDCS.2002.1004001","DOIUrl":null,"url":null,"abstract":"This paper presents a method focused on assessing the uniqueness of the DC solution of transistor networks. It determines the conditions for such a network in order to possess multiple DC operating points. The method is based on identifying positive feedback structures (PFSs) by resorting to the definitions given by Hasler (Fosseprez et al, IEEE Trans. Circuits and Sys. vol. 18, no. 3, pp. 393-402, 1989; Hasler, Int. J. Circuit Theory and Appl., vol. 14, pp. 237-262, 1986; Fosseprez and Hasler, ibid., vol. 18, no. 6, pp. 625-638, 1990). The topological conditions for the existence of PFSs at nullator and norator level are established.","PeriodicalId":416680,"journal":{"name":"Proceedings of the Fourth IEEE International Caracas Conference on Devices, Circuits and Systems (Cat. No.02TH8611)","volume":"19 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2002-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Fourth IEEE International Caracas Conference on Devices, Circuits and Systems (Cat. No.02TH8611)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCDCS.2002.1004001","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This paper presents a method focused on assessing the uniqueness of the DC solution of transistor networks. It determines the conditions for such a network in order to possess multiple DC operating points. The method is based on identifying positive feedback structures (PFSs) by resorting to the definitions given by Hasler (Fosseprez et al, IEEE Trans. Circuits and Sys. vol. 18, no. 3, pp. 393-402, 1989; Hasler, Int. J. Circuit Theory and Appl., vol. 14, pp. 237-262, 1986; Fosseprez and Hasler, ibid., vol. 18, no. 6, pp. 625-638, 1990). The topological conditions for the existence of PFSs at nullator and norator level are established.