Discrete-Time Systems with Monotonic Step Responses and Complex Conjugate Poles and Zeros
- Publisher:
- Institute of Electrical and Electronics Engineers
- Publication Type:
- Journal Article
- Citation:
- Leon de la Barra, B. and Salazar, F. 2002 'Discrete-Time Systems with Monotonic Step Responses and Complex Conjugate Poles and Zeros', IEEE Transactions on Automatic Control, vol. 47, no. 12, pp. 2098-2101.
- Issue Date:
- 2002
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A new set of conditions which guarantees that the step response
of general discrete-time transfer functions does not display extrema
is obtained in this note. A novel feature of this set is that it includes systems
with real and complex conjugate zeros and poles located on a given
circle, as well as systems having zeros and poles on separate concentric circles,
respectively. The new conditions may be easily combined with previous
results available in the literature through the convolution operator significantly
expanding the class of discrete-time zero-pole patterns which are
known to exhibit monotonic step responses.
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