Combined Preorder and Postorder Traversal Algorithm for the Analysis of Singular Systems by Haar Wavelets. (9th September 2008)

• Record Type: Journal Article
• Authors: Kim, Beom-Soo; Shim, Il-Joo; Lim, Myo-Taeg; Kim, Young-Joong
• Other Names: Cattani Carlo Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2008(2008)
• Publication Date: 2008-09-09
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2008/323080
• Languages: English
• ISSNs: 1024-123X

Abstract

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.