Relations Between Block Relative Gain and Euclidean Condition Number

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

8 Scopus Citations
View graph of relations



Original languageEnglish
Pages (from-to)127-129
Journal / PublicationIEEE Transactions on Automatic Control
Issue number1
Publication statusPublished - Jan 1992
Externally publishedYes


The purpose of this note is to develop new relations between the block relative gain and condition number that improve upon previously available result. We establish quantititive connections that relate condition number with the maximum singular value, and the minimal condition number with the structured singular value of the block relative gain. These results are useful in clarifying the role of block relative gain as a measure of potential design difficulties associated with a certain class of plants. © 1992 IEEE