On the Stability of Polynomials with Uncoupled Perturbations in the Coefficients of Even and Odd Powers.

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dc.contributor.authorPanier, E.R.en_US
dc.contributor.authorFan, Michael K-H.en_US
dc.contributor.authorTits, A.L.en_US
dc.contributor.departmentISRen_US
dc.date.accessioned2007-05-23T09:40:06Z
dc.date.available2007-05-23T09:40:06Z
dc.date.issued1987en_US
dc.description.abstractIn this note, we present some results concerning the stability (in Hurwitz' sense) of a family of polynomials with even and odd coefficients subject to uncoupled perturbations. It is shown that the stability of an appropriate small subset of extreme polynomials guarantees the stability of the entire family. In particular, a polytope of polynomials with the even-odd uncoupling property is stable provided a certain small subset of its vertices is. For the case of an arbitrary subset of polynomials, this result gives a less conservative sufficient condition than that provided by Kharitonov's theorem.en_US
dc.format.extent502138 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1903/4710
dc.language.isoen_USen_US
dc.relation.ispartofseriesISR; TR 1987-207en_US
dc.titleOn the Stability of Polynomials with Uncoupled Perturbations in the Coefficients of Even and Odd Powers.en_US
dc.typeTechnical Reporten_US

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