Infinite zero module and infinite pole module
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In this paper we introduce the notion of infinite zero module Z∞(G) and infinite pole module P∞(G) associated with a transfer function G(z). We show that Z∞(G) and P∞(G) describe the zero/pole structure at infinity of G(z) and we investigate their dynamical and system theoretic properties. Finally, we apply these concepts to the study of the inverses of G(z).
KeywordsTransfer Function Proper Part Minimal Realization Zero Structure Polynomial Part
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