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L-gain analysis for positive singular time-delay systems

Journal Article


Abstract


  • This paper is devoted to the characterization of L∞-gain for positive singular systems with time-varying delays. First, we introduce an augmented system to replace the original system in order to analyze the positivity of singular systems with time-varying delays. By investigating the monotonicity of state trajectory, the L∞-gain for singular system with constant delays is characterized. Then, by comparing the trajectories of time-varying delay system and constant delay case, we finally propose the L∞-gain for singular system with time-varying delays. It is shown that the L∞-gain of positive singular systems is independent of the magnitude of delays.

Publication Date


  • 2017

Citation


  • Cui, Y., Feng, Z., Shen, J., & Chen, Y. (2017). L-gain analysis for positive singular time-delay systems. Journal of the Franklin Institute, 354(13), 5162-5175. doi:10.1016/j.jfranklin.2017.05.006

Scopus Eid


  • 2-s2.0-85021424800

Web Of Science Accession Number


Start Page


  • 5162

End Page


  • 5175

Volume


  • 354

Issue


  • 13

Abstract


  • This paper is devoted to the characterization of L∞-gain for positive singular systems with time-varying delays. First, we introduce an augmented system to replace the original system in order to analyze the positivity of singular systems with time-varying delays. By investigating the monotonicity of state trajectory, the L∞-gain for singular system with constant delays is characterized. Then, by comparing the trajectories of time-varying delay system and constant delay case, we finally propose the L∞-gain for singular system with time-varying delays. It is shown that the L∞-gain of positive singular systems is independent of the magnitude of delays.

Publication Date


  • 2017

Citation


  • Cui, Y., Feng, Z., Shen, J., & Chen, Y. (2017). L-gain analysis for positive singular time-delay systems. Journal of the Franklin Institute, 354(13), 5162-5175. doi:10.1016/j.jfranklin.2017.05.006

Scopus Eid


  • 2-s2.0-85021424800

Web Of Science Accession Number


Start Page


  • 5162

End Page


  • 5175

Volume


  • 354

Issue


  • 13