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.
|Number of pages||6|
|Journal||Proceedings of the IEEE Conference on Decision and Control|
|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