Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 354, Issue -, Pages 1-8Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2019.02.009
Keywords
Stability; Time-varying delay; Free-matrix-based integral inequality(FMBII); Linear matrix inequality
Categories
Funding
- National Natural Science Fund of China [61741308, 61703153, 61672225]
- Natural Science Fund of Hunan Province [2018JJ2096]
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This paper focuses on the delay-dependent stability problem of time-varying delay systems. A generalized free-matrix-based integral inequality (GFMBII) is presented. This inequality is able to deal with time-varying delay systems without using the reciprocal convexity lemma. It overcomes the drawback that the Bessel-Legendre inequality is inconvenient to cope with a time-varying delay system as the resultant bound contains a reciprocal convexity. Through the use of the derived inequality and by constructing a suitable Lyapunov-Krasovskii function (LKF), improved stability criteria are presented in the form of linear matrix inequalities (LMIs). Two numerical examples are carried out to demonstrate that the results outperform the state of the art in the literature. (C) 2019 Elsevier Inc. All rights reserved.
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