Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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On a Stability Property of Nonlinear Systems with Periodic Inputs Having Slowly Varying Average

주기적인 입력의 평균이 느리게 변하는 비선형 시스템의 안정성

  • 최용운 (서울대학교 전기컴퓨터공학부) ;
  • 서진헌 (서울대학교 전기컴퓨터공학부) ;
  • 심형보 (서울대학교 전기컴퓨터공학부)
  • Published : 2005.04.01
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Abstract

It is known that, if an equilibrium of a nonlinear system has a stability property when an external input is frozen, then the property is maintained under the input being slowly varying. In this paper, we show that the same stability property is preserved not only under slowly varying input but also under slowly-varying-average input (which is not actually slowly varying but its ‘average’ is slowly varying) The input is assumed to be periodic and to vary sufficiently fast. We prove the claim by the average theory and some previous results on the slowly varying inputs.

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References

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