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Reduced stability testing set for a diamond-type family of quasipolynomials

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Abstract

A diamond-type family of quasipolynomials, for which vertex stability results hold, is presented. Both delay independent and delay-dependent stability conditions are given. In the first case, it suffices to check for the stability of a finite testing set of multivariate polynomials. While in the other one, it is also needed to check the stability of several edge sub-families of quasipolynomials.

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Correspondence to J. A. Torres-Muñoz.

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Torres-Muñoz, J.A., Kharitonov, V.L. & Ortiz-Moctezuma, M.B. Reduced stability testing set for a diamond-type family of quasipolynomials. Multidim Syst Sign Process 20, 25–37 (2009). https://doi.org/10.1007/s11045-008-0052-5

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  • DOI: https://doi.org/10.1007/s11045-008-0052-5

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