전기학회논문지 (The Transactions of The Korean Institute of Electrical Engineers)

  • 제66권5호
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  • Pages.806-811
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  • 2017
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  • 1975-8359(pISSN)
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  • 2287-4364(eISSN)
대한전기학회 (The Korean Institute of Electrical Engineers)
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개선된 적분부등식을 이용한 시간지연 선형 시스템의 안정성

Stability of Time-delayed Linear Systems using an Improved Integral Inequality

  • Kim, Jin-Hoon (School of Electronics Engineering, Chungbuk National University)
  • 투고 : 2017.02.28
  • 심사 : 2017.04.24
  • 발행 : 2017.05.01
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초록

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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참고문헌

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