A sufficient condition for stability of a polytope of matrices

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

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)237-245
Journal / PublicationSystems and Control Letters
Volume23
Issue number4
Publication statusPublished - Oct 1994
Externally publishedYes

Abstract

In this paper, we study the stability of interval dynamical systems. A sufficient condition for the stability of a polytope of matrices, which is shown to be necessary and sufficient for a certain class of matrices, is obtained. The results developed can also be applied to the stability of a positive cone of matrices and sufficient conditions for the stability of interval dynamical systems are obtained. A relationship between real parts of eigenvalues and matrix measures is also presented. © 1994.

Research Area(s)

  • interval dynamical systems, matrix measure, robustness, Stability

Bibliographic Note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to lbscholars@cityu.edu.hk.

Citation Format(s)

A sufficient condition for stability of a polytope of matrices. / Fang, Yuguang; Loparo, Kenneth A.; Feng, Xiangbo.

In: Systems and Control Letters, Vol. 23, No. 4, 10.1994, p. 237-245.

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