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

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Study for State Analysis of Linear Systems using Haar Wavelet

Haar 웨이블릿을 이용한 선형시스템의 상태해석에 관한 연구

  • 김범수 (경상대학교 기계항공공학부, 해양산업연구소) ;
  • 심일주 (대림대학교 자동화시스템과)
  • Published : 2008.10.01
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Abstract

In this paper Haar functions are developed to approximate the solutions of continuous time linear system. Properties of Haar functions are first presented, and an explicit expression for the inverse of the Haar operational matrix is presented. Using the inverse of the Haar operational matrix the full order Stein equation should be solved in terms of the solutions of pure algebraic matrix equations, which reduces the computation time remarkably. Finally a numerical example is illustrated to demonstrate the validity of the proposed algorithm.

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References

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