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Further Stability Analysis of Time-Delay Systems with Nonlinear Perturbations

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  • Jie Sun
  • Jing Zhang

Abstract

In this study, we focus on stability analysis for systems with time-varying delay and nonlinear perturbations. In order to cut down the conservatism of the existing stability criteria, we utilize the triple integral forms of Lyapunov-Krasovskii functional (LKF). In addition, by using single and double integral forms of Wirtinger-based inequality, we overcome some conservatism which come from Jensen’s inequality. Three well-known numerical examples are given at the end. Compared with some existing results, our results have less conservatism.

Suggested Citation

  • Jie Sun & Jing Zhang, 2017. "Further Stability Analysis of Time-Delay Systems with Nonlinear Perturbations," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-10, March.
    • Handle: RePEc:hin:jnlmpe:5941757
    DOI: 10.1155/2017/5941757
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