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. DOI: 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. DOI: 10.1007/s11633-014-0816-3

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

  • 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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