State analysis of time-varying singular nonlinear systems via Haar wavelets

Authors
Hsiao, CH Wang, WJ
Citation
Ch. Hsiao et Wj. Wang, State analysis of time-varying singular nonlinear systems via Haar wavelets, MATH COMP S, 51(1-2), 1999, pp. 91-100
Citations number
15
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICS AND COMPUTERS IN SIMULATION
ISSN journal
03784754 → ACNP
Volume
51
Issue
1-2
Year of publication
1999
Pages
91 - 100
Database
ISI
SICI code
0378-4754(199912)51:1-2<91:SAOTSN>2.0.ZU;2-X
Abstract
State analysis of time-varying singular nonlinear systems via Haar wavelets is proposed in this paper. Based upon some useful properties of Haar wavel ets, a special product matrix and a related coefficient matrix are applied to the time-varying systems such that the state of time-varying singular no nlinear systems can be solved easily. The local property of Haar wavelets i s advantageous to shorten the calculation process in the task. We finally g ive a brief comparison between Haar wavelet and other orthogonal functions. (C) 1999 IMACS/Elsevier Science B.V. All rights reserved.