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Asymptotic stability analysis of certain neutral differential equations: A descriptor system approach

Author

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  • Deng, Shaojiang
  • Liao, Xiaofeng
  • Guo, Songtao

Abstract

Based on the descriptor and “neutral type” model transformation, some corresponding Lyapunov-Krasovskii functionals are introduced for stability analysis of certain neutral differential equations. Delay-dependent and delay-independent stability criteria are given in terms of linear matrix inequalities. The proposed criteria are less conservative and restrictive than other existing criteria since they are based on an equivalent neutral model transformation or parameterized transformation. Examples are given to illustrate advantages of our approach.

Suggested Citation

  • Deng, Shaojiang & Liao, Xiaofeng & Guo, Songtao, 2009. "Asymptotic stability analysis of certain neutral differential equations: A descriptor system approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(10), pages 2981-2993.
    • Handle: RePEc:eee:matcom:v:79:y:2009:i:10:p:2981-2993
    DOI: 10.1016/j.matcom.2009.01.005
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    Cited by:

    1. Watcharin Chartbupapan & Ovidiu Bagdasar & Kanit Mukdasai, 2020. "A Novel Delay-Dependent Asymptotic Stability Conditions for Differential and Riemann-Liouville Fractional Differential Neutral Systems with Constant Delays and Nonlinear Perturbation," Mathematics, MDPI, vol. 8(1), pages 1-10, January.
    2. Jichun Wang & Qingling Zhang & Dong Xiao & Fang Bai, 2016. "Robust stability analysis and stabilisation of uncertain neutral singular systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(16), pages 3762-3771, December.

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