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

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  • Hsiao, Chun-Hui
  • Wang, Wen-June

Abstract

State analysis of time-varying singular nonlinear 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 nonlinear 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.

Suggested Citation

  • Hsiao, Chun-Hui & Wang, Wen-June, 1999. "State analysis of time-varying singular nonlinear systems via Haar wavelets," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 51(1), pages 91-100.
    • Handle: RePEc:eee:matcom:v:51:y:1999:i:1:p:91-100
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    References listed on IDEAS

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    1. Hsiao, Chun-Hui, 1997. "State analysis of linear time delayed systems via Haar wavelets," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 44(5), pages 457-470.
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    Cited by:

    1. Hsiao, C.H., 2004. "Haar wavelet approach to linear stiff systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 64(5), pages 561-567.
    2. Lepik, Ü., 2005. "Numerical solution of differential equations using Haar wavelets," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 68(2), pages 127-143.
    3. Hsiao, Chun-Hui & Wang, Wen-June, 2001. "Haar wavelet approach to nonlinear stiff systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 57(6), pages 347-353.

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