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Finite-Time Stability of Uncertain Nonlinear Systems with Time-Varying Delay

Author

Listed:
  • Jingting Hu
  • Guixia Sui
  • Shengli Du
  • Xiaodi Li

Abstract

The problem of finite-time stability for a class of uncertain nonlinear systems with time-varying delay and external disturbances is investigated. By using the Lyapunov stability theory, sufficient conditions for the existence of finite-time state feedback controller for this class of systems are derived. The results can be applied to finite-time stability problems of linear time-delay systems with parameter uncertainties and external disturbances. Finally, two numerical examples are given to demonstrate the effectiveness of the obtained theoretical results.

Suggested Citation

  • Jingting Hu & Guixia Sui & Shengli Du & Xiaodi Li, 2017. "Finite-Time Stability of Uncertain Nonlinear Systems with Time-Varying Delay," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-9, October.
    • Handle: RePEc:hin:jnlmpe:2538904
    DOI: 10.1155/2017/2538904
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