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

Beom-Soo Kim, Il-Joo Shim, Myo-Taeg Lim and Young-Joong Kim

Mathematical Problems in Engineering, 2008, vol. 2008, 1-16

Abstract:

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.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:323080

DOI: 10.1155/2008/323080

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