Delay range-and-rate dependent stability criteria for systems with interval time-varying delay via a quasi-quadratic convex framework

Feisheng Yang, Jing He, Peipei Kang, Quan Pan

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22 引用 (Scopus)

摘要

This paper concerns the stability analysis of systems with interval time-varying delay. A Lyapunov-Krasovskii functional containing an augmented quadratic term and certain triple integral terms is constructed to integrate features of the truncated Bessel-Legendre inequality less conservative than Wirtinger inequality that encompasses Jensen inequality, respectively, and to exploit merits of the newly developed double integral inequalities tighter than auxiliary function-based, Wirtinger, and Jensen double integral inequalities. A new quadratic convex lemma is proposed to derive delay and its derivative dependent sufficient stability conditions in terms of linear matrix inequalities synthetically with reciprocal convex approach and affine convex combination. The efficiency of the presented method is illustrated on some classical numerical examples.

源语言英语
页(从-至)2494-2509
页数16
期刊International Journal of Robust and Nonlinear Control
29
8
DOI
出版状态已出版 - 25 5月 2019

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