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.
| Original language | English |
|---|---|
| Pages (from-to) | 237-245 |
| Journal | Systems and Control Letters |
| Volume | 23 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Oct 1994 |
| Externally published | Yes |
Bibliographical 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 [email protected].Research Keywords
- interval dynamical systems
- matrix measure
- robustness
- Stability