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  • Artikel: DFG Deutsche Nationallizenzen  (2)
  • Haar wavelets  (2)
  • 1
    Digitale Medien
    Digitale Medien
    Optimal Control of Linear Time-Varying Systems via Haar Wavelets (1999)
    Springer
    Journal of optimization theory and applications 103 (1999), S. 641-655 
    Details
    ISSN: 1573-2878
    Schlagwort(e): Optimal control ; Haar wavelets
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract This paper introduces the application of Haar wavelets to the optimal control synthesis for linear time-varying systems. Based upon some useful properties of Haar wavelets, a special product matrix, a related coefficient matrix, and an operational matrix of backward integration are proposed to solve the adjoint equation of optimization. The results obtained by the proposed Haar approach are almost the same as those obtained by the conventional Riccati method.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1023/A:1021740209084
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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    Artikel (Nationallizenzen)
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  • 2
    Digitale Medien
    Digitale Medien
    State Analysis and Optimal Control of Time-Varying Discrete Systems via Haar Wavelets (1999)
    Springer
    Journal of optimization theory and applications 103 (1999), S. 623-640 
    Details
    ISSN: 1573-2878
    Schlagwort(e): Optimal control ; discrete systems ; Haar wavelets
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract The state analysis and optimal control of time-varying discrete systems via Haar wavelets are the main tasks of this paper. First, we introduce the definition of discrete Haar wavelets. Then, a comparison between Haar wavelets and other orthogonal functions is given. Based upon some useful properties of the Haar wavelets, a special product matrix and a related coefficient matrix are proposed; also, a shift matrix and a summation matrix are derived. These matrices are very effective in solving our problems. The local property of the Haar wavelets is applied to shorten the calculation procedures.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1023/A:1021788125013
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
    Artikel (Nationallizenzen)
    Volltext
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