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A procedure for defining eigenvector chains for a (possibly singular) rational matrix, at any finite or infinite zero, is proposed, and some justification for the definition is presented.
There has been active interest recently, some of it promted by the paper of Rosenbrock [1], in the structure of linear time-invariant dynamical systems at 'infinite frequencies'. We review some of this work, [2]-[10], noting recent extensions, and suggesting useful directions for future work. Of particular interest are systems that exhibit impulsive responses to initial conditions; these we have termed...
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