Existence criterion for nonessential singularities of the second kind
- 1 January 1978
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in Proceedings of the IEEE
- Vol. 66 (8) , 983-984
- https://doi.org/10.1109/PROC.1978.11062
Abstract
The stability of a single-input single-output multivariable system is governed by the zeros of the numerator as well as the denominator of its multivariable transfer function. Where the relatively prime numerator and denominator polynomials share a common zero, the transfer function is said to have a nonessential singularity of the second kind. Such a singularity on the stability region boundary mandates more complicated stability tests than would otherwise be needed. Thus, their existence must be known. A criterion for their existence is described in this short paper.Keywords
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