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

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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An Efficient Computational Method for Linear Time-invariant Systems via Legendre Wavelet

르장드르 웨이블릿을 이용한 선형 시불변 시스템의 효율적 수치 해석 방법

  • Kim, Beomsoo (Mechanical System Engineering, Gyeongsang National University)
  • 김범수 (경상대학교 기계시스템공학과)
  • Received : 2013.04.10
  • Accepted : 2013.06.07
  • Published : 2013.07.01
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Abstract

In this paper Legendre wavelets are used to approximate the solutions of linear time-invariant system. The Legendre wavelet and its integral operational matrix are presented and an efficient algorithm to solve the Sylvester matrix equation is proposed. The algorithm is based on the decomposition of the Sylvester matrix equation and the preorder traversal algorithm. Using the special structure of the Legendre wavelet's integral operational matrix, the full order Sylvester matrix equation can be solved in terms of the solutions of pure algebraic matrix equations, which reduce 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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