Abstract
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 râ©˝max( m, p) and max( m, p)< r< m+ p.
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