The zeros and poles of delta operator systems

Hersh, M.A. (1993) The zeros and poles of delta operator systems. International Journal of Control, 57(3), pp. 557-575. (doi: 10.1080/00207179308934407)

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The discretization of continuous time systems using shift operators often introduces non-minimum phase zeros. In this paper the conversion of continuous to delta operator systems and vice versa is considered and the relationship between the coefficients and poles of continuous time and delta operator systems is investigated for finite dimensional linear systems. The cases of both simple and multiple poles in the continuous time transfer functions are considered and it is shown that the poles, and coefficients of the delta operator transfer function converge to those of the associated continuous time system as the sampling time tends to zero.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Hersh, Dr Marion
Authors: Hersh, M.A.
College/School:College of Science and Engineering > School of Engineering > Biomedical Engineering
Journal Name:International Journal of Control
Publisher:Taylor and Francis
ISSN (Online):1366-5820

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