A reliable stability test for exponential polynomials

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Abstract

The investigation of the stability of an exponential polynomial is a well-known problem in the literature. Although exact analytic conditions to check stability are known, they are often too difficult to check, certainly in practical problems. Therefore mostly a graphical test is used, based on the well-known circle-criterion. In this paper an algorithmization of such a test is presented. Although the method can be applied to low order exponential polynomials, it is especially suitable to test the stability of high order exponential polynomials, often needed for the stabilization of time-delay systems. The method proposed in this paper is designed to carry out this test in a reliable and efficient way. Key Words: Exponential polynomials, Stability, Circle-criterion, Variable step-length, Curvature.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages12
Publication statusPublished - 1992

Publication series

NameMemorandum COSOR
Volume9248
ISSN (Print)0926-4493

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    Habets, L. C. G. J. M. (1992). A reliable stability test for exponential polynomials. (Memorandum COSOR; Vol. 9248). Technische Universiteit Eindhoven.