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New stability criteria for singular systems with time-varying delay and nonlinear perturbations

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  • Huijiao Wang
  • Anke Xue
  • Renquan Lu

Abstract

This paper concerns the stability analysis for singular systems with time-varying delay and nonlinear perturbations. Two cases of time-varying delay, which is differentiable (Case 1) or not differentiable (Case 2), are considered. The considered nonlinear perturbations includes the norm-bounded uncertainties as a special case. Some delay-dependent stability criteria are derived by using a delay decomposition approach. In the delay decomposition approach, the entire delay interval is divided into multiple sub-intervals for which different energy functions are defined for building new Lyapunov–Krasovskii functional. Some numerical and practical examples are given to show the effectiveness and significant improvement of the proposed method.

Suggested Citation

  • Huijiao Wang & Anke Xue & Renquan Lu, 2014. "New stability criteria for singular systems with time-varying delay and nonlinear perturbations," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(12), pages 2576-2589, December.
    • Handle: RePEc:taf:tsysxx:v:45:y:2014:i:12:p:2576-2589
    DOI: 10.1080/00207721.2013.773472
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    Cited by:

    1. Li, Rongchang & Zhang, Qingling, 2018. "Robust H∞ sliding mode observer design for a class of Takagi–Sugeno fuzzy descriptor systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 158-178.

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