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

Journal Article


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.

Publication Date


  • 2016

Citation


  • Ren, Y., Feng, Z., & Sun, G. (2016). Improved stability conditions for uncertain neutral-type systems with time-varying delays. International Journal of Systems Science, 47(8), 1982-1993. doi:10.1080/00207721.2015.1067337

Scopus Eid


  • 2-s2.0-84954384051

Web Of Science Accession Number


Start Page


  • 1982

End Page


  • 1993

Volume


  • 47

Issue


  • 8

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.

Publication Date


  • 2016

Citation


  • Ren, Y., Feng, Z., & Sun, G. (2016). Improved stability conditions for uncertain neutral-type systems with time-varying delays. International Journal of Systems Science, 47(8), 1982-1993. doi:10.1080/00207721.2015.1067337

Scopus Eid


  • 2-s2.0-84954384051

Web Of Science Accession Number


Start Page


  • 1982

End Page


  • 1993

Volume


  • 47

Issue


  • 8