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

The Korean Institute of Electrical Engineers (대한전기학회)
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Stability of Linear Systems with Interval Time-varying Delay via New Interval Decomposition

새로운 구간 분해 방법을 이용한 구간 시변지연을 갖는 선형시스템의 안정성

  • 김진훈 (충북대학교 전자정보대학 전자공학부)
  • Received : 2011.06.19
  • Accepted : 2011.08.08
  • Published : 2011.09.01
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Abstract

In this paper, we consider the stability of linear systems with an interval time-varying delay. It is known that the adoption of decomposition of delay improves the stability result. For the interval time-delay case, they applied it to the interval of time-delay and got less conservative results. Our basic idea is to apply the general decomposition to the low limit of delay as well as interval of time-delay. Based on this idea, by using the modified Lyapunov-Krasovskii functional and newly derived Lemma, we present a less conservative stability criterion expressed as in the form of linear matrix inequality(LMI). Finally, we show, by well-known two examples, that our result is less conservative than the recent results.

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References

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