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

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〉
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https://hal-supelec.archives-ouvertes.fr/hal-01096001
Contributeur : Pascale Lepeltier <>
Soumis le : mardi 16 décembre 2014 - 15:59:31
Dernière modification le : vendredi 26 octobre 2018 - 10:41:54

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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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