# Stability and Robust Stabilisation Through Envelopes for Retarded Time-Delay Systems

1 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
2 Division Systèmes - L2S
L2S - Laboratoire des signaux et systèmes : 1289
Abstract : This work deals with stability and robust stabilisation of retarded time-delay systems by applying a new method for obtaining an envelope that bounds all the system poles. Through LMIs we are able to determine envelopes that can be applied to verify the stability of the system and can also be utilised to design robust state-feedback controllers which cope with design requirements regarding $α$ − stability.
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Conference papers
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https://hal.inria.fr/hal-01970655
Contributor : Catherine Bonnet <>
Submitted on : Saturday, January 5, 2019 - 6:16:56 PM
Last modification on : Tuesday, June 4, 2019 - 11:08:06 AM
Long-term archiving on : Saturday, April 6, 2019 - 1:10:34 PM

### File

envelope_Rocond_rev.pdf
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### Identifiers

• HAL Id : hal-01970655, version 1

### Citation

Caetano Cardeliquio, André Fioravanti, Catherine Bonnet, Silviu-Iulian Niculescu. Stability and Robust Stabilisation Through Envelopes for Retarded Time-Delay Systems. 9th IFAC Symposium on Robust Control Design, Sep 2018, Florianopolis, Brazil. ⟨hal-01970655⟩

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