Abstract
In this short paper we show that a generic r-tuple of m input p output dynamical systems is simultaneously stabilizable (pole assignable) if r<m+p. We also derive upper bounds on the degree of the simultaneous pole assigning compensator in the case when r≤max(m, p) and max(m, p)<r<m+p, which improve the bound obtained by Ghosh and Byrnes. This paper settles an outstanding open problem on generic simultaneous stabilization and pole assignment.
| Original language | English |
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| Pages (from-to) | 4274-4279 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Volume | 5 |
| State | Published - 1997 |
| Event | Proceedings of the 1997 36th IEEE Conference on Decision and Control. Part 1 (of 5) - San Diego, CA, USA Duration: Dec 10 1997 → Dec 12 1997 |