Combined Preorder and Postorder Traversal Algorithm for the Analysis of Singular Systems by Haar Wavelets | Zendy

Beom Soo Kim | Zendy; Il-Joo Shim | Zendy; Myo–Taeg Lim | Zendy; Young-Joong Kim | Zendy

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Combined Preorder and Postorder Traversal Algorithm for the Analysis of Singular Systems by Haar Wavelets

Author(s) -

Beom Soo Kim,

Il-Joo Shim,

Myo–Taeg Lim,

Young-Joong Kim

Publication year - 2008

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2008/323080

Subject(s) - preorder , mathematics , tree traversal , haar , matrix (chemical analysis) , wavelet , moore–penrose pseudoinverse , algorithm , algebra over a field , inverse , pure mathematics , discrete mathematics , computer science , geometry , materials science , artificial intelligence , composite material

An efficient computational method is presented for state space analysis of singular systems via Haar wavelets. Singular systems are those in which dynamics are governed by a combination of algebraic and differential equations. The corresponding differential-algebraic matrix equation is converted to a generalized Sylvester matrix equation by using Haar wavelet basis. First, an explicit expression for the inverse of the Haar matrix is presented. Then, using it, we propose a combined preorder and postorder traversal algorithm to solve the generalized Sylvester matrix equation. Finally, the efficiency of the proposed method is discussed by a numerical example

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