Abstract
The stability robustness of the generalized eigenvalues of matrix pairs with real perturbations is considered. The problem is estimate the norm of the smallest destabilizing perturbation on a stable matrix pair. Sufficient conditions on the norm of the perturbations are given which guarantee the stability of the perturbed matrix pair. The results obtained can be applied to the stability robustness analysis of singularly perturbed systems and descriptor systems and to a new kind of problem called the minimum phase robustness problem.
| Original language | English |
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| Pages (from-to) | 1902-1907 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Volume | 3 |
| Publication status | Published - 1989 |
| Externally published | Yes |
| Event | Proceedings of the 28th IEEE Conference on Decision and Control. Part 2 (of 3) - Tampa, FL, USA Duration: 13 Dec 1989 → 15 Dec 1989 |