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Mathematical Design of Energy-Optimal Femoral Prostheses

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Abstract

A new formulation of the problem of designing a femoral prosthesis is proposed. This formulation reduces to solving the problem of the energy-optimal control with parameters for a nonlinear multidimensional mechanical system that models the human locomotor system with a femoral prosthesis. The results of numerical solution of the optimal control problem for two types of prostheses with pneumatic and hydraulic knee mechanisms are described.

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Berbyuk, V.E., Nishchenko, N.I. Mathematical Design of Energy-Optimal Femoral Prostheses. Journal of Mathematical Sciences 107, 3647–3654 (2001). https://doi.org/10.1023/A:1011966912564

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