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A steepest-descent method for optimization of mechanical systems (1976)

Haug, E. J. ; Arora, J. S. ; Matsui, K.

Springer

Journal of optimization theory and applications 19 (1976), S. 401-424

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ISSN: 1573-2878

Keywords: Steepest-descent methods ; optimal design ; distributed parameter systems

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract Steepest-descent optimal control techniques have been used extensively for dynamic systems in one independent variable and with a full set of initial conditions. This paper presents an extension of the steepest-descent technique to mechanical design problems that are described by boundary-value problems with one or more independent variables. The method is illustrated by solving finite-dimensional problems, problems with distribution of design over one space dimension, and problems with distribution of design over two space dimensions.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00941484

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