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Stability and Stabilization of 2D Singular Systems: A Strict LMI Approach

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Abstract

This paper deals with the stability and stabilization of 2D singular systems described by a Roesser model. The proposed results are presented in terms of a strict linear matrix inequality (LMI), which makes possible to elaborate a new sufficient admissibility condition. The design of a state feedback controller is then treated using this condition, deriving a sufficient condition for the admissibility of the closed-loop system. A numerical example is given at the end of the paper, which illustrates the effectiveness of the proposed methodology.

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Acknowledgements

Marwa Elloumi was partially funded by an Erasmus+ KA107 Grant from EACEA, coordinated by the University of Valladolid, Spain. Prof. Tadeo is funded by Junta de Castilla y Leon and FEDER funds (CLU 2017-09 and UIC 233).

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Authors and Affiliations

  1. National School of Engineers of Sfax, University of Sfax, 3038, Sfax, Tunisia

    Marwa Elloumi, Mariem Ghamgui & Mohamed Chaabane

  2. National School of Engineering of Poitiers, University of Poitiers, 86022, Poitiers, France

    Mariem Ghamgui & Driss Mehdi

  3. Institute of Sustainable Processes, University of Valladolid, 47005, Valladolid, Spain

    Fernando Tadeo

  4. Industrial Engineering School, University of Valladolid, 47005, Valladolid, Spain

    Fernando Tadeo

Authors
  1. Marwa Elloumi
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  2. Mariem Ghamgui
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  3. Driss Mehdi
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  4. Fernando Tadeo
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  5. Mohamed Chaabane
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Correspondence to Fernando Tadeo.

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Elloumi, M., Ghamgui, M., Mehdi, D. et al. Stability and Stabilization of 2D Singular Systems: A Strict LMI Approach. Circuits Syst Signal Process 38, 3041–3057 (2019). https://doi.org/10.1007/s00034-018-01019-4

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  • DOI: https://doi.org/10.1007/s00034-018-01019-4

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