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Global exponential stabilisation of a class of nonlinear time-delay systems

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  • Amel Benabdallah
  • Nadhem Echi

Abstract

This paper deals with the state and output feedback stabilisation problems for a family of nonlinear time-delay systems satisfying some relaxed triangular-type condition. The delay is supposed to be constant. Parameter-dependent control laws are used to compensate for the nonlinearities. Based on the Lyapunov–Krasovskii functionals, global exponential stability of the closed-loop systems is achieved. Finally, an extension to nonlinear time-varying delay systems is given.

Suggested Citation

  • Amel Benabdallah & Nadhem Echi, 2016. "Global exponential stabilisation of a class of nonlinear time-delay systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(16), pages 3857-3863, December.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3857-3863
    DOI: 10.1080/00207721.2015.1135356
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    References listed on IDEAS

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    1. Syed Ali, M. & Balasubramaniam, P., 2009. "Global exponential stability of uncertain fuzzy BAM neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2191-2199.
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