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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.

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Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:931520
DOI: 10.1155/2014/931520
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