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

It has been shown that a generic -tuple of input output dynamical systems is simultaneously stabilizable (pole assignable) if + and the McMillian degrees of the systems are not too different. This result improves the currently known upper bound: max( ) on the number of plants. In the case max( ), 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 in 1983.