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

The Korean Institute of Electrical Engineers (대한전기학회)
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Stability of Time-delayed Linear Systems using an Improved Integral Inequality

개선된 적분부등식을 이용한 시간지연 선형 시스템의 안정성

  • Kim, Jin-Hoon (School of Electronics Engineering, Chungbuk National University)
  • Received : 2017.02.28
  • Accepted : 2017.04.24
  • Published : 2017.05.01
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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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References

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