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  • Analytical Chemistry and Spectroscopy  (1)
  • Shifted Legendre polynomials  (1)
  • 1985-1989  (2)
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Year
  • 1
    Electronic Resource
    Electronic Resource
    Optimal control of lumped parameter systems via shifted Legendre polynomial approximation (1985)
    Springer
    Journal of optimization theory and applications 45 (1985), S. 313-324 
    Details
    ISSN: 1573-2878
    Keywords: Shifted Legendre polynomials ; operational matrix ; functional differential equations ; optimal control problems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Shifted Legendre polynomial functions are employed to solve the linear-quadratic optimal control problem for lumped parameter system. Using the characteristics of the shifted Legendre polynomials, the system equations and the adjoint equations of the optimal control problem are reduced to functional ordinary differential equations. The solution of the functional differential equations are obtained in a series of the shifted Legendre functions. The operational matrix for the integration of the shifted Legendre polynomial functions is also introduced in the simulation step in order to simplify the computational procedure. An illustrative example of an optimal control problem is given, and the computational results are compared with those of the exact solution. The proposed method is effective and accurate.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00939983
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    A metastable ion study of the electron impact fragmentation of some substituted 2,6-pyrido-containing crown ethers (1987)
    Chichester : Wiley-Blackwell
    Biological Mass Spectrometry 22 (1987), S. 633-636 
    Details
    ISSN: 0030-493X
    Keywords: Chemistry ; Analytical Chemistry and Spectroscopy
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Extensive networks of metastable ions link the major peaks in the electron impact mass spectra of two crown ethers containing 2,6-pyrido units. High-resolution mass measurements and the metastable peaks allow the elucidation of the fragmentation pathways. The spectra are influenced more by the presence of aromatic substituents than by the 2,6-pyrido units.
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/oms.1210220911
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    Paper (German National Licenses)
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