Abstract
The aim of this article is to give more insight into the structure of the internal (that is invariant and not only transmission) zeros at infinity for generalized linear systems. Starting from the first available geometric definition of these zeros, we first show that the corresponding structure can naturally be splitted into two independent substructures at infinity. Each of them is geometrically characterized. We also exploit the famous Structure (Inversion) Algorithm in order to derive two particular algebraic structures of zeros at infinity and we establish the precise equivalence between geometric and algebraic substructures. A simple example is given and some physical justifications are provided.
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© 1990 Birkhäuser Boston
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Malabre, M. (1990). On Infinite Zeros for Generalized Linear Systems. In: Kaashoek, M.A., van Schuppen, J.H., Ran, A.C.M. (eds) Realization and Modelling in System Theory. Progress in Systems and Control Theory, vol 3. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-3462-3_30
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DOI: https://doi.org/10.1007/978-1-4612-3462-3_30
Publisher Name: Birkhäuser Boston
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