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Stability Analysis for Positive Singular Systems with Time-Varying Delays

Journal Article


Abstract


  • This paper is concerned with the stability analysis for continuous-time positive singular systems with time-varying delays. First, an auxiliary system is introduced to establish the positivity condition for singular time-delay systems. Based on the positivity condition, the stability criterion is obtained for the positive singular systems with constant delays. By analyzing the monotonic property of the system trajectory, we extend the stability condition to the cases with time-varying delays. A numerical simulation is employed to illustrate the effectiveness of our results.

Publication Date


  • 2018

Citation


  • Cui, Y., Shen, J., Feng, Z., & Chen, Y. (2018). Stability Analysis for Positive Singular Systems with Time-Varying Delays. IEEE Transactions on Automatic Control, 63(5), 1487-1494. doi:10.1109/TAC.2017.2749524

Scopus Eid


  • 2-s2.0-85029164402

Web Of Science Accession Number


Start Page


  • 1487

End Page


  • 1494

Volume


  • 63

Issue


  • 5

Abstract


  • This paper is concerned with the stability analysis for continuous-time positive singular systems with time-varying delays. First, an auxiliary system is introduced to establish the positivity condition for singular time-delay systems. Based on the positivity condition, the stability criterion is obtained for the positive singular systems with constant delays. By analyzing the monotonic property of the system trajectory, we extend the stability condition to the cases with time-varying delays. A numerical simulation is employed to illustrate the effectiveness of our results.

Publication Date


  • 2018

Citation


  • Cui, Y., Shen, J., Feng, Z., & Chen, Y. (2018). Stability Analysis for Positive Singular Systems with Time-Varying Delays. IEEE Transactions on Automatic Control, 63(5), 1487-1494. doi:10.1109/TAC.2017.2749524

Scopus Eid


  • 2-s2.0-85029164402

Web Of Science Accession Number


Start Page


  • 1487

End Page


  • 1494

Volume


  • 63

Issue


  • 5