A sufficient condition for stability of a polytope of matrices
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Detail(s)
Original language | English |
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Pages (from-to) | 237-245 |
Journal / Publication | Systems and Control Letters |
Volume | 23 |
Issue number | 4 |
Publication status | Published - Oct 1994 |
Externally published | Yes |
Link(s)
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 Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review