Abstract
Poles and zeros of a transfer function G, and their multiplicities, can be read off from the Smith-McMillan form of G. Many factorization problems involve, however, more refined notions of zero-pole structure. Pole structure and zero structure of a transfer function can be conveniently characterized in a coordinate-free way by pole and zero modules, introduced by Wyman-Sain-Conte-Perdon. Here we show that an extra invariant, the null-pole coupling operator, gives a more complete characterization of null-pole structure. We also derive the necessary and sufficient condition for existence of a transfer function with a preassigned zero module, pole module and a null-pole coupling operator.
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References
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© 1991 Springer Science+Business Media New York
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Ball, J.A., Rakowski, M. (1991). Transfer Functions with a Given Local Zero-Pole Structure. In: New Trends in Systems Theory. Progress in Systems and Control Theory, vol 7. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0439-8_9
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DOI: https://doi.org/10.1007/978-1-4612-0439-8_9
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6760-7
Online ISBN: 978-1-4612-0439-8
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