{"title":"On a criterion of Yakubovich type for the absolute stability of nonautonomous control processes","authors":"R. Fabbri, S. T. Impram, R. Johnson","doi":"10.1155/S0161171203201095","DOIUrl":null,"url":null,"abstract":"We generalize a criterion of Yakubovich for the absolute \nstability of control processes with periodic coefficients to the \ncase when the coefficients are bounded and uniformly continuous \nfunctions.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"160 1","pages":"1027-1041"},"PeriodicalIF":1.0000,"publicationDate":"2003-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171203201095","citationCount":"9","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/S0161171203201095","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 9
Abstract
We generalize a criterion of Yakubovich for the absolute
stability of control processes with periodic coefficients to the
case when the coefficients are bounded and uniformly continuous
functions.
期刊介绍:
The International Journal of Mathematics and Mathematical Sciences is a refereed math journal devoted to publication of original research articles, research notes, and review articles, with emphasis on contributions to unsolved problems and open questions in mathematics and mathematical sciences. All areas listed on the cover of Mathematical Reviews, such as pure and applied mathematics, mathematical physics, theoretical mechanics, probability and mathematical statistics, and theoretical biology, are included within the scope of the International Journal of Mathematics and Mathematical Sciences.