Combined Preorder and Postorder Traversal Algorithm for the Analysis of Singular Systems by Haar Wavelets
- Authors
- Kim, Beom-Soo; Shim, Il-Joo; Lim, Myo-Taeg; Kim, Young-Joong
- Issue Date
- 2008
- Publisher
- HINDAWI LTD
- Keywords
- Singular systems; Haar Wavelets
- Citation
- MATHEMATICAL PROBLEMS IN ENGINEERING, v.2008
- Indexed
- SCIE
SCOPUS
- Journal Title
- MATHEMATICAL PROBLEMS IN ENGINEERING
- Volume
- 2008
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/125586
- DOI
- 10.1155/2008/323080
- ISSN
- 1024-123X
- 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. Copyright (C) 2008 Beom-Soo Kim et al.
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Collections - College of Engineering > School of Electrical Engineering > 1. Journal Articles
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