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Reports (Research Report) Year : 2003

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.

Domains

Other [cs.OH]
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Dates and versions

inria-00071788 , version 1 (23-05-2006)

Identifiers

  • HAL Id : inria-00071788 , version 1

Cite

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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