A toric Positivstellensatz with applications to delay systems |
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| Authors: | Silviu-Iulian Niculescu Mihai Putinar |
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| Affiliation: | 1. Laboratoire des signaux et systèmes (UMR CNRS 8506), 3, rue Joliot-Curie, 91192 Gif-sur-Yvette, France;2. Mathematics Department, University of California, Santa Barbara, CA 93106, USA |
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| Abstract: | The structure of positive polynomials on a torus is derived from recent results of real algebraic geometry. As an application, we propose some simple conditions for testing the hyperbolicity/stability of a generic class of linear systems of retarded type. |
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