Abstract
This paper addresses the problem of determining the number of connected components of the space of real scalar M× N Hankel matrices of rank n . For n<min{ M, N} it is shown that the space has n+1 components for M+ N even, and is connected for M+ N odd. As an application, the number of components of sets of minimal partial realizations of McMillan degree n⩽ τ of length τ sequences is determined.
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