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Improved stability conditions for uncertain neutral-type systems with time-varying delays

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  • Yu Ren
  • Zhiguang Feng
  • Guanghui Sun

Abstract

This paper investigates the robust stability problem for a class of uncertain neutral-type delayed systems. The systems under consideration contain parameter uncertainties and time-varying delays. We aim at designing less conservative robust stability criteria for such systems. A new second-order reciprocally convex inequality is first proposed in order to deal with double integral terms. Then, by constructing a new Lyapunov– Krasovskii functional and employing the improved Wirtinger-based integral inequality and the reciprocally convex combination approaches, novel stability criteria are obtained. Moreover, the stability conditions for standard time-delay system are obtained as by-product results. Comparisons in three numerical examples illustrate the effectiveness of our results.

Suggested Citation

  • Yu Ren & Zhiguang Feng & Guanghui Sun, 2016. "Improved stability conditions for uncertain neutral-type systems with time-varying delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(8), pages 1982-1993, June.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:8:p:1982-1993
    DOI: 10.1080/00207721.2015.1067337
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    Cited by:

    1. Zhang, Hongmei & Cao, Jinde & Xiong, Lianglin, 2019. "Novel synchronization conditions for time-varying delayed Lur’e system with parametric uncertainty," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 224-236.

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