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

Yu Ren, Zhiguang Feng and Guanghui Sun

International Journal of Systems Science, 2016, vol. 47, issue 8, 1982-1993

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.

Date: 2016
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DOI: 10.1080/00207721.2015.1067337

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