Skip to main content
placeholder image

Admissibility analysis of singular time-delay systems via delta operator approach

Conference Paper


Abstract


  • This work is devoted to the admissibility analysis for singular time-delay systems by using delta operator approach. By estimating the delay term with a two-term approximation, the singular system in delta operator domain is transformed into an interconnection of a time-invariant subsystem with constant delay and a uncertain one. By resorting to the input-output approach, a delay-range-dependent admissibility criterion for the singular time-delay system in delta operator domain is obtained. By adding a triple-summation term to the Lyapunov-Krasovskii functional, the results are shown less conservative. Several examples are used to explicitly manifest the advantage of the given criterion.

Publication Date


  • 2017

Citation


  • Cui, Y., Feng, Z., & Chen, Y. (2017). Admissibility analysis of singular time-delay systems via delta operator approach. In Proceedings - 2017 Chinese Automation Congress, CAC 2017 Vol. 2017-January (pp. 7774-7778). doi:10.1109/CAC.2017.8244186

Scopus Eid


  • 2-s2.0-85050359997

Web Of Science Accession Number


Start Page


  • 7774

End Page


  • 7778

Volume


  • 2017-January

Abstract


  • This work is devoted to the admissibility analysis for singular time-delay systems by using delta operator approach. By estimating the delay term with a two-term approximation, the singular system in delta operator domain is transformed into an interconnection of a time-invariant subsystem with constant delay and a uncertain one. By resorting to the input-output approach, a delay-range-dependent admissibility criterion for the singular time-delay system in delta operator domain is obtained. By adding a triple-summation term to the Lyapunov-Krasovskii functional, the results are shown less conservative. Several examples are used to explicitly manifest the advantage of the given criterion.

Publication Date


  • 2017

Citation


  • Cui, Y., Feng, Z., & Chen, Y. (2017). Admissibility analysis of singular time-delay systems via delta operator approach. In Proceedings - 2017 Chinese Automation Congress, CAC 2017 Vol. 2017-January (pp. 7774-7778). doi:10.1109/CAC.2017.8244186

Scopus Eid


  • 2-s2.0-85050359997

Web Of Science Accession Number


Start Page


  • 7774

End Page


  • 7778

Volume


  • 2017-January