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.
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https://hal-supelec.archives-ouvertes.fr/hal-01096001
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Submitted on : Tuesday, December 16, 2014 - 3:59:31 PM
Last modification on : Friday, June 14, 2019 - 6:31:06 PM

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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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