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Controlling uncertain neutral dynamic systems with delay in control input

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  • Park, Ju H.
  • Kwon, O.

Abstract

This article gives a novel criterion for the asymptotic stabilization of the zero solutions of a class of neutral systems with delays in control input. By constructing Lyapunov functionals, we have obtained the criterion which is expressed in terms of matrix inequalities. The solutions of the inequalities can be easily solved by efficient convex optimization algorithms. A numerical example is included to illustrate the design procedure of the proposed method.

Suggested Citation

  • Park, Ju H. & Kwon, O., 2005. "Controlling uncertain neutral dynamic systems with delay in control input," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 805-812.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:3:p:805-812
    DOI: 10.1016/j.chaos.2005.03.001
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    Cited by:

    1. Sun, Fengyun & Zhao, Yi & Zhou, Tianshou, 2007. "Identify fully uncertain parameters and design controllers based on synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1677-1682.
    2. Park, Ju H., 2008. "On global stability criterion of neural networks with continuously distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 444-449.
    3. Lien, Chang-Hua, 2007. "Non-fragile guaranteed cost control for uncertain neutral dynamic systems with time-varying delays in state and control input," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 889-899.
    4. Xiong, Lianglin & Zhong, Shouming & Ye, Mao & Wu, Shiliang, 2009. "New stability and stabilization for switched neutral control systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1800-1811.
    5. O. M. Kwon & J. H. Park, 2008. "Exponential Stability for Time-Delay Systems with Interval Time-Varying Delays and Nonlinear Perturbations," Journal of Optimization Theory and Applications, Springer, vol. 139(2), pages 277-293, November.
    6. Zhu, Wenli & Yi, Zhang, 2007. "Integral input-to-state stability of nonlinear control systems with delays," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 420-427.

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