A sufficient condition for stability of a polytope of matrices

Research output: Journal Publications and ReviewsRGC 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

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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 ReviewsRGC 21 - Publication in refereed journalpeer-review