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Simultaneous pole assignment of linear MIMO dynamical systems

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2 Author(s)
Ghosh, B.K. ; Dept. of Syst. Sci. & Math., Washington Univ., St. Louis, MO, USA ; Wang, X.A.

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 (1983). This paper settles an outstanding open problem on generic simultaneous stabilization and pole assignment

Published in:

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on  (Volume:5 )

Date of Conference:

10-12 Dec 1997