Geodesic
Rank-one LMI approach to robust stability of polynomial matrices
Kybernetika, Tome 38 (2002) no. 5, p. [643].

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Necessary and sufficient conditions are formulated for checking robust stability of an uncertain polynomial matrix. Various stability regions and uncertainty models are handled in a unified way. The conditions, stemming from a general optimization methodology similar to the one used in $\mu $-analysis, are expressed as a rank-one LMI, a non-convex problem frequently arising in robust control. Convex relaxations of the problem yield tractable sufficient LMI conditions for robust stability of uncertain polynomial matrices.
Classification : 15A39, 93D09
Keywords: linear matrix inequality; stability 
@article{KYB_2002__38_5_a11,
     author = {Henrion, Didier and Sugimoto, Kenji and \v{S}ebek, Michael},
     title = {Rank-one {LMI} approach to robust stability of polynomial matrices},
     journal = {Kybernetika},
     pages = {[643]},
     publisher = {mathdoc},
     volume = {38},
     number = {5},
     year = {2002},
     mrnumber = {1966952},
     zbl = {1265.93194},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2002__38_5_a11/}
}
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Henrion, Didier; Sugimoto, Kenji; Šebek, Michael. Rank-one LMI approach to robust stability of polynomial matrices. Kybernetika, Tome 38 (2002) no. 5, p. [643]. http://geodesic.mathdoc.fr/item/KYB_2002__38_5_a11/