Combined Preorder and Postorder Traversal Algorithm for the Analysis of Singular Systems by Haar Wavelets
Joint Authors
Lim, Myo-Taeg
Shim, Il-Joo
Kim, Beom-Soo
Kim, Young-Joong
Source
Mathematical Problems in Engineering
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-10-26
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Kim, Beom-Soo& Shim, Il-Joo& Lim, Myo-Taeg& Kim, Young-Joong. 2008. Combined Preorder and Postorder Traversal Algorithm for the Analysis of Singular Systems by Haar Wavelets. Mathematical Problems in Engineering،Vol. 2008, no. 2008, pp.1-16.
https://search.emarefa.net/detail/BIM-463422
Modern Language Association (MLA)
Kim, Beom-Soo…[et al.]. Combined Preorder and Postorder Traversal Algorithm for the Analysis of Singular Systems by Haar Wavelets. Mathematical Problems in Engineering No. 2008 (2008), pp.1-16.
https://search.emarefa.net/detail/BIM-463422
American Medical Association (AMA)
Kim, Beom-Soo& Shim, Il-Joo& Lim, Myo-Taeg& Kim, Young-Joong. Combined Preorder and Postorder Traversal Algorithm for the Analysis of Singular Systems by Haar Wavelets. Mathematical Problems in Engineering. 2008. Vol. 2008, no. 2008, pp.1-16.
https://search.emarefa.net/detail/BIM-463422
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-463422