Bounds on generalized structured singular values via the Perron root of matrix majorants
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 439-449 |
| Journal / Publication | Systems and Control Letters |
| Volume | 19 |
| Issue number | 6 |
| Publication status | Published - Dec 1992 |
| Externally published | Yes |
Link(s)
Abstract
The purpose of this paper is to present several bounds upon the structured singular value. We first adopt a generalized notion of the structured singular value which is useful for problems where uncertainties are assumed to be bounded in an lp-induced matrix norm. Two different type of bounds, in terms of Perron root and interaction parameters respectively, are given for the new structured singular value and their relations are discussed. These bounds are useful in that they are easy to compute and may be further analyzed to provide insights useful in design. © 1992.
Research Area(s)
- block-norm matrix, Perron root, robustness analysis, Structured singular value, uncertainty
Citation Format(s)
Bounds on generalized structured singular values via the Perron root of matrix majorants. / Chen, Jie; Nett, Carl N.
In: Systems and Control Letters, Vol. 19, No. 6, 12.1992, p. 439-449.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
