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Three Mathematica supported proposals for the discretization of nonlinear dynamical control systems

✍ Scribed by Jesús Rodríguez-Millán; Carla González

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
211 KB
Volume
63
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper, we present a library of functions in Mathematica allowing to perform some experiments on sampling and interpolation in dynamical control systems. Some of these functions implement fundamental techniques in dynamical system theory: the Euler polygon, and the Picard iteration method, while others allow to calculate approximate solutions using nonstandard algorithms exploiting the advantages of both Euler's and Picard's method. Using Taylor polynomial approximations of vector-fields may speed up the calculation of Picard iterated solutions, even though this procedure involved double approximations.

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