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Sufficient conditions for generic simultaneous pole assignment and stabilization of linear MIMO dynamical systems

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

It has been shown that a generic r-tuple of m input p output dynamical systems is simultaneously stabilizable (pole assignable) if r<m+P and the McMillian degrees of the systems are not too different. This result improves the currently known upper bound: r⩽max(m, p) on the number of plants. In the case r⩽max(m, p), an upper bound on the degree of the simultaneous pole assigning compensator has also been derived, which improves the bound obtained by Ghosh and Byrnes (1983)

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IEEE Transactions on Automatic Control  (Volume:45 ,  Issue: 4 )