Numerical Method for the Analysis of Bilinear Systems via Legendre Wavelets

르장드르 웨이블릿을 이용한 쌍일차 시스템 수치 해석

  • Kim, Beomsoo (Mechanical System Engineering, Gyeongsang National University)
  • 김범수 (경상대학교 기계시스템공학과)
  • Received : 2013.04.18
  • Accepted : 2013.07.15
  • Published : 2013.09.01


In this paper, an efficient computational method is presented for state space analysis of bilinear systems via Legendre wavelets. The differential matrix equation is converted to a generalized Sylvester matrix equation by using Legendre wavelets as a basis. First, an explicit expression for the inverse of the integral operational matrix of the Legendre wavelets is presented. Then using it, we propose a preorder traversal algorithm to solve the generalized Sylvester matrix equation, which greatly reduces the computation time. Finally the efficiency of the proposed method is discussed using numerical examples.


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