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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 39 (1983), S. 143-149 
    ISSN: 1573-2878
    Keywords: Laguerre polynomials ; variational problems ; Ritz direct method ; optimization
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A direct method for solving variational problems via Laguerre series is presented. First, an operational matrix for the integration of Laguerre polynomials is introduced. The variational problems are reduced to the solution of algebraic equations. An illustrative example is given.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 45 (1985), S. 101-112 
    ISSN: 1573-2878
    Keywords: Delay systems ; optimization ; block pulse functions ; linear systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The concept of coefficient shift matrix is introduced to represent delay variables in block pulse series. The optimal control of a linear delay system with quadratic performance index is then studied via block pulse functions, which convert the problems into the minimization of a quadratic form with linear algebraic equation constraints. The solution of the two-point boundary-value problem with both delay and advanced arguments is circumvented. The control variable obtained is piecewise constant.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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