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Global Stabilization of High-Order Time-Delay Nonlinear Systems under a Weaker Condition

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  • Nengwei Zhang
  • Enbin Zhang
  • Fangzheng Gao

Abstract

Under the weaker condition on the system growth, this paper further investigates the problem of global stabilization by state feedback for a class of high-order nonlinear systems with time-varying delays. By skillfully using the homogeneous domination approach, a continuous state feedback controller is successfully designed, which preserves the equilibrium at the origin and guarantees the global asymptotic stability of the resulting closed-loop system. A simulation example is given to demonstrate the effectiveness of the proposed design procedure.

Suggested Citation

  • Nengwei Zhang & Enbin Zhang & Fangzheng Gao, 2014. "Global Stabilization of High-Order Time-Delay Nonlinear Systems under a Weaker Condition," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-8, August.
    • Handle: RePEc:hin:jnlaaa:931520
    DOI: 10.1155/2014/931520
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