Abstract
We propose a new formulation of the problem of mathematical modeling of the human gait as an optimal control problem for a nonlinear multidimensional mechanical system with phase constraints given by expeimental data. We give the results of a solution of this optimal control problem obtained using Fourier-spline approximation of independently varying functions and minimizing an objective function over maximally likely directions.
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Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 40, No. 4, 1997, pp. 127–138.
This work was carried out in collaboration with the firm “Ukprotez” of Kiev and Swedish Institute and Wenner Gren Center Foundation, Stockholm, Sweden.
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Berbyuk, V.E., Grasyuk, G.V. & Nishchenko, N.I. Mathematical modeling of the dynamics of the human gait in the saggital plane. J Math Sci 96, 3047–3056 (1999). https://doi.org/10.1007/BF02169705
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DOI: https://doi.org/10.1007/BF02169705