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Article Dans Une Revue International Journal of Control Année : 2010

Dilated LMI Characterizations for Linear Time-Invariant Singular Systems

Résumé

This article explores, based on projection lemma, dilated linear matrix inequality (LMI) characterisations for linear time-invariant singular systems. The deduced formulations cover not only the existing results reported in the literature, but also complete some missing LMI conditions. This article also lightens the mutual relations of these characterisations and clarifies the relation between the dilated LMIs for the conventional state-space systems and those for singular systems. The well-known results for the state-space setting reported in the literature can be reviewed as special cases.
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Dates et versions

hal-00536116 , version 1 (15-11-2010)

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Yu Feng, Mohamed Yagoubi, Philippe Chevrel. Dilated LMI Characterizations for Linear Time-Invariant Singular Systems. International Journal of Control, 2010, 83, pp.2276-2284. ⟨10.1080/00207179.2010.514947⟩. ⟨hal-00536116⟩
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