Skip to Main content Skip to Navigation
Journal articles

Generalized reciprocally convex combination lemmas and its application to time-delay systems

Abstract : Various efficient matrix inequalities have recently been proposed to deal with the stability analysis of linear systems with time-varying delays. This paper provides more insights on the relationship between some of them. We present an equivalent formulation of Moon et al.'s inequality, allowing us to discover strong links not only with the most recent and efficient matrix inequalities such as the reciprocally convex combination lemma and also its relaxed version but also with some previous inequalities such as the approximation inequality introduced in [14] or free-matrix-based inequality. More especially, it is proved that these existing inequalities can be captured as particular cases of Moon et al.'s inequality. Examples show the best tradeoff between the reduction of conservatism and the numerical complexity.
Document type :
Journal articles
Complete list of metadata

Cited literature [20 references]  Display  Hide  Download

https://hal.laas.fr/hal-01793309
Contributor : Alexandre Seuret Connect in order to contact the contributor
Submitted on : Wednesday, May 16, 2018 - 2:20:13 PM
Last modification on : Monday, July 4, 2022 - 9:31:26 AM
Long-term archiving on: : Monday, September 24, 2018 - 5:21:39 PM

File

Refined_RCCL_0515_f.pdf
Files produced by the author(s)

Identifiers

Citation

Alexandre Seuret, Kun Liu, Frédéric Gouaisbaut. Generalized reciprocally convex combination lemmas and its application to time-delay systems. Automatica, Elsevier, 2018, 95, pp.488-493. ⟨10.1016/j.automatica.2018.06.017⟩. ⟨hal-01793309⟩

Share

Metrics

Record views

42

Files downloads

1