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

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Title	Improved stability of time-delayed linear systems based on new form of LKF
Authors	김진훈(Jin-Hoon Kim)
DOI	https://doi.org/10.5370/KIEE.2019.68.7.930
Page	pp.930-935
ISSN	1975-8359
Keywords	Time-delay ; Stability ; New form of LKF ; Bessel-Legendre inequality ; Improved reciprocally convex inequality
Abstract	In this paper, we consider the stability of time-delayed linear systems with a time-varying delay. Based on the new form of Lyapunov-Krasovskii functional(LKF), and by applying the second order Bessel-Legendre inequality and the improved reciprocally convex inequality, a stability result in the form of LMI is derived. Finally, the usefulness of the proposed result is shown by well-known two numerical examples.

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