Simultaneous pole assignment of linear MIMO dynamical systems

Research output: Contribution to journalConference articlepeer-review


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 languageEnglish
Pages (from-to)4274-4279
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - 1997
EventProceedings of the 1997 36th IEEE Conference on Decision and Control. Part 1 (of 5) - San Diego, CA, USA
Duration: Dec 10 1997Dec 12 1997


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