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Stability analysis of systems via a new double free-matrix-based integral inequality with interval time-varying delay

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  • Wenbin Chen
  • Fang Gao

Abstract

This paper investigates the problem of delay-dependent stability analysis for systems with interval time-varying delay. By means of a new double free-matrix-based integral inequality and augmented Lyapunov–Krasovskii functionals containing as much information of time-varying delay as possible, a new stability criterion for systems is established. Firstly, by a double integral term two-step estimation approach and combined with single free-matrix-based integral inequalities, a stability criteria is presented. Then, compared with the double integral term two-step estimation approach, the proposed new double free-matrix-based integral inequality with more related time delays has potential to lead to a criterion with less conservatism. Finally, the validity of the presented method is demonstrated by two numerical examples.

Suggested Citation

  • Wenbin Chen & Fang Gao, 2019. "Stability analysis of systems via a new double free-matrix-based integral inequality with interval time-varying delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(14), pages 2663-2672, October.
    • Handle: RePEc:taf:tsysxx:v:50:y:2019:i:14:p:2663-2672
    DOI: 10.1080/00207721.2019.1672118
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    Cited by:

    1. Shenping Xiao & Jin Yu & Simon X. Yang & Yongfeng Qiu, 2022. "Stability Analysis for Time-Delay Systems via a New Negativity Condition on Quadratic Functions," Mathematics, MDPI, vol. 10(17), pages 1-9, August.
    2. Chen, Wenbin & Gao, Fang & She, Jinhua & Xia, Weifeng, 2020. "Further results on delay-dependent stability for neutral singular systems via state decomposition method," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).

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