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

Chun Hui Hsiao, Wen June Wang

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

State analysis of time-varying singular bilinear systems via Haar wavelets is proposed in this paper. Based upon some useful properties of Haar wavelets, a special product matrix and a related coefficient matrix are applied to the time-varying systems such that the state of time-varying singular bilinear systems can be solved easily. The local property of Haar wavelets is advantageous to shorten the calculation process in the task. We finally give a brief comparison between Haar wavelet and other orthogonal functions.

Original languageEnglish
Pages (from-to)11-20
Number of pages10
JournalMathematics and Computers in Simulation
Volume52
Issue number1
DOIs
StatePublished - Mar 2000

Keywords

  • Haar wavelets
  • Singular bilinear systems
  • Time-varying

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