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

State analysis of time-varying singular bilinear systems via Haar wavelets is proposed in this paper. Based upon some useful properties of Haar wavele ts, a special product matrix and a related coefficient matrix are applied t o the time-varying systems such that the state of time-varying singular bil inear systems can be solved easily. The local property of Haar wavelets is advantageous to shorten the calculation process in the task. We finally giv e a brief comparison between Haar wavelet and other orthogonal functions. ( C) 2000 Published by Elsevier Science B.V. All rights reserved.