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New augmented Lyapunov functional method for stability of uncertain neutral systems with equivalent delays

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  • Qian, Wei
  • Liu, Juan
  • Fei, Shumin

Abstract

This paper is concerned with the delay-dependent stability for neutral systems with equivalent delays and norm-bounded uncertainties. Through constructing a new augmented LKF and proving its positive definiteness, introducing some slack matrices and using integral inequality, the improved delay-dependent stability criteria are derived in terms of linear matrix inequalities, and it is theoretically established that obtained results are less conservative than some existing stability conditions. Finally, numerical examples are given to illustrate the significant improvement on the conservatism of the delay bound over some existing results.

Suggested Citation

  • Qian, Wei & Liu, Juan & Fei, Shumin, 2012. "New augmented Lyapunov functional method for stability of uncertain neutral systems with equivalent delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 84(C), pages 42-50.
    • Handle: RePEc:eee:matcom:v:84:y:2012:i:c:p:42-50
    DOI: 10.1016/j.matcom.2012.08.003
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    References listed on IDEAS

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    1. C. H. Lien, 2005. "H∞ Observer-Based Control for a Class of Uncertain Neutral Time-Delay Systems via LMI Optimization Approach," Journal of Optimization Theory and Applications, Springer, vol. 127(1), pages 129-144, October.
    2. C.H. Lien, 2005. "Stability and Stabilization Criteria for a Class of Uncertain Neutral Systems with Time-Varying Delays," Journal of Optimization Theory and Applications, Springer, vol. 124(3), pages 637-657, March.
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    Cited by:

    1. Kumar, S. Vimal & Anthoni, S. Marshal & Raja, R., 2019. "Dissipative analysis for aircraft flight control systems with randomly occurring uncertainties via non-fragile sampled-data control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 155(C), pages 217-226.

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