Abstract

The infinite zero structure of linear multivariable systems is investigated via the geometric approach. The basic tools used are the new concepts of almost ( <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">A, B</tex> )-invariant and almost controllability subspaces. These concepts permit advantageous geometric interpretation of infinite zeros. This interpretation is a natural generalization of the finite case. Connection is made with the Smith-McMillan structure at infinity of the transfer matrix.

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