Low Complexity Invariant Sets for Time-Delay Systems: A Set Factorization Approach

Sorin Olaru 1, 2 Nikola Stankovic 2 Georges S. Bitsoris 3 Silviu-Iulian Niculescu 4
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 E3S - Supélec Sciences des Systèmes [Gif-sur-Yvette]
3 LAAS - Laboratoire d'analyse et d'architecture des systèmes [Toulouse]
4 L2S - Laboratoire des signaux et systèmes
Abstract : This chapter deals with the study of invariant sets for discrete time linear systems affected by delay. It establishes a new perspective on their structural properties via set factorization. This novel perspective describes, in a unified framework, different existing notions of invariant sets. Additionally, it is shown that the (possible non-minimal) state space representation is a key element in the description of low complexity invariant sets.
Type de document :
Chapitre d'ouvrage
Alexandre Seuret; Hitay Özbay; Catherine Bonnet; Hugues Mounier. Low-Complexity Controllers for Time-Delay Systems, 2, Springer, pp.127-139, 2014, Advances in Delays and Dynamics, 978-3-319-05575-6. 〈10.1007/978-3-319-05576-3_9〉. 〈http://link.springer.com/chapter/10.1007/978-3-319-05576-3_9〉
Liste complète des métadonnées
https://hal-supelec.archives-ouvertes.fr/hal-01096001
Contributeur : Pascale Lepeltier <>
Soumis le : mardi 16 décembre 2014 - 15:59:31
Dernière modification le : mardi 11 septembre 2018 - 15:18:16

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SUPELEC | SUP_AUTO | UNIV-TLSE3 | INRIA | SUP_LSS | L2S | SUP_SYSTEMES | INSA-TOULOUSE | LAAS

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Sorin Olaru, Nikola Stankovic, Georges S. Bitsoris, Silviu-Iulian Niculescu. Low Complexity Invariant Sets for Time-Delay Systems: A Set Factorization Approach. Alexandre Seuret; Hitay Özbay; Catherine Bonnet; Hugues Mounier. Low-Complexity Controllers for Time-Delay Systems, 2, Springer, pp.127-139, 2014, Advances in Delays and Dynamics, 978-3-319-05575-6. 〈10.1007/978-3-319-05576-3_9〉. 〈http://link.springer.com/chapter/10.1007/978-3-319-05576-3_9〉. 〈hal-01096001〉

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