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Volume 11 Issue 6
December  2014
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Wafa Elloumi, Abdellah Benzaouia and Mohamed Chaabane. Delay-dependent Stabilization Conditions of Controlled Positive Continuous-time Systems. International Journal of Automation and Computing, vol. 11, no. 6, pp. 653-660, 2014. https://doi.org/10.1007/s11633-014-0816-3
Citation: Wafa Elloumi, Abdellah Benzaouia and Mohamed Chaabane. Delay-dependent Stabilization Conditions of Controlled Positive Continuous-time Systems. International Journal of Automation and Computing, vol. 11, no. 6, pp. 653-660, 2014. https://doi.org/10.1007/s11633-014-0816-3
shu

Delay-dependent Stabilization Conditions of Controlled Positive Continuous-time Systems

doi: 10.1007/s11633-014-0816-3

  • Lab-STA, National School of Engineering of Sfax, University of Sfax PB 1173, 3038 Sfax, Tunisia;

  • LAEPT URAC 28, University Cadi Ayyad, Faculty of Science Semlalia, BP 2390, Marrakech, Morocco

  • Received Date: 2013-08-22
  • Rev Recd Date: 2013-11-26
  • Publish Date: 2014-12-20
    Abstract
  • The stabilization problem for a class of linear continuous-time systems with time-varying non differentiable delay is solved while imposing positivity in closed-loop. In particular, the synthesis of state-feedback controllers is studied by giving sufficient conditions in terms of linear matrix inequalities (LMIs). The obtained results are then extended to systems with non positive delay matrix by applying a memory controller. The effectiveness of the proposed method is shown by using numerical examples.

     

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