KIEE - The Transactions of the Korean Institute of Electrical Engineers

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The Transactions of the Korean Institute of Electrical Engineers

The Transactions of the Korean Institute of Electrical Engineers

ISO Journal TitleTrans. Korean. Inst. Elect. Eng.

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Title	Stability of Time-delayed Linear Systems using an Improved Integral Inequality
Authors	김진훈(Kim, Jin-Hoon)
DOI	https://doi.org/10.5370/KIEE.2017.66.5.806
Page	pp.806-811
ISSN	1975-8359
Keywords	Stability ; Time-delay ; LMI ; Improved Integral inequality ; Free weighting matrix ; Augmented LKF
Abstract	This paper considers the delay-dependent stability of linear systems with a time-varying delay in the frame work of Lyapunov-Krasovskii functional(LKF) approach. In this approach, an integral inequality is essential to estimate the upper bound of time-derivative of LKF, and a less conservative one is needed to get a less conservative stability result. In this paper, based on free weighting matrices, an improved integral inequality encompassing well-known results is proposed and then a stability result in the form of linear matrix inequality is derived based on an augmented LKF. Finally, two well-known numerical examples are given to demonstrate the usefulness of the proposed result.

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