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An existence result for polynomial solutions of parameter-dependent LMIs

Abstract : We show in this report that any system of Linear Matrix Inequalities depending continuously upon scalar parameters and solvable for any value of the latter in a fixed compact set, admits a branch of solutions polynomial with respect to the parameters. This result is useful for studying e.g. parametric robustness or gain-scheduling issues.
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https://hal.inria.fr/inria-00071788
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Submitted on : Tuesday, May 23, 2006 - 6:46:47 PM
Last modification on : Thursday, February 3, 2022 - 11:18:33 AM
Long-term archiving on: : Sunday, April 4, 2010 - 10:38:10 PM

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  • HAL Id : inria-00071788, version 1

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Pierre-Alexandre Bliman. An existence result for polynomial solutions of parameter-dependent LMIs. [Research Report] RR-4798, INRIA. 2003. ⟨inria-00071788⟩

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