On minimal degree simultaneous pole assignment problems

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In this paper, we show that a generic r-tuple of m-input p-output linear systems is simultaneously pole assignable if r<m+p and the McMillan degrees of the systems are not too different. We also obtain upper bounds for the degrees of the compensators which simultaneously assign the characteristic polynomials of the r-tuple of closed loop systems. The upper bounds are obtained for each of the two cases r≤max(m,p) and max(m,p)<r<m+p.

Original languageEnglish
Pages (from-to)411-433
Number of pages23
JournalLinear Algebra and Its Applications
StatePublished - Oct 13 2002


  • Dynamic compensators
  • Linear systems
  • Output feedback pole assignment
  • Simultaneous control
  • Stabilization


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