Reduced stability testing set for a diamond-type family of quasipolynomials |
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| Authors: | J A Torres-Muñoz V L Kharitonov M B Ortiz-Moctezuma |
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| Affiliation: | (1) Automatic Control Department, CINVESTAV-IPN, Av. Instituto Politecnico Nacional 2508, 07 360 Mexico, DF, Mexico;(2) Division of Mechatronics, Technological Institute of Coacalco, Av. 16 de Septiembre No. 54, 55 700 Estado de Mexico, Mexico |
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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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| Keywords: | Time-delay systems Robust stability Multivariate polynomials Quasipolynomials |
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