Journal of the Institute of Electronics Engineers of Korea SC (전자공학회논문지SC)

The Institute of Electronics and Information Engineers (대한전자공학회)
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Delay-Dependent Criterion for Asymptotic Stability of Neutral Systems with Nonlinear Perturbations

비선형 섭동을 갖는 뉴트럴 시스템의 점근 안정을 위한 지연시간 종속 판별식

  • Park, Ju-Hyeon (Dept.of Electronics Information Engineering, Yeungnam University)
  • 박주현 (영남대학교 전자정보공학부)
  • Published : 2000.11.01
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Abstract

In this paper, the problem of the stability analysis for linear neutral delay-differential systems with nonlinear perturbations is investigated. Using Lyapunov second method, a new delay-dependent sufficient condition for asymptotic stability of the systems in terms of linear matrix inequalities (LMIs), which can be easily solved by various convex optimization algorithms, is presented. A numerical example is given to illustrate the proposed method.

본 논문에서는 비선형 섭동을 가지는 뉴트럴 시스템의 점근 안정성에 관하여 고찰한다. 리아프노프 방식을 이용하여 시스템의 안정성을 판별할 수 있는 충분조건을 제시한다. 이 조건은 지연시간에 종속이며, 선형행렬 부등식으로 표시되기 때문에 최적화 알고리즘을 이용하여 부등식 해를 쉽게 구할 수 있다는 장점이 있다. 마지막으로 제시된 이론의 유용성을 보이기 위하여 수치 예제를 보였다.

Keywords

References

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