Ls. Jennings et al., OPTIMAL-CONTROL COMPUTATION TO ACCOUNT FOR ECCENTRIC MOVEMENT, Journal of the Australian Mathematical Society. Series B. Applied mathematics, 38, 1996, pp. 182-193
A class of optimal control models which involve different weightings i
n the integrand of the objective function is considered. The motivatio
n for considering this class of problems is that this type of objectiv
e function is used to account for eccentric movement in biomechanical
models. The computation of these optimal control problems using contro
l parameterization directly is difficult, firstly because of ill-condi
tioning, and secondly because the objective function is not differenti
able. A method for smoothing the integrand is presented with convergen
ce results. An example is computed which shows favourable computationa
l improvements.