A mathematical model for the interception of a moving target: contribution to optimal controllability theory

Abstract

The sole aim of this work is to develop a mathematical model for dredging (excavating) three open channel sections, namely, the circular, parabolic and trapezoidal sections using the conditions for best hydraulic performance for the channels. Applying the model to a numerical example, new dimensions of the new channel for the three channel sections are determined and compared with the original ones, if the cross sectional area, bed slope and Manning\'s friction factor remain unchanged for each channel and if the side slopes are also stable with respect to the trapezoidal channel. Furthermore, a combination of our model with Darcy\'s formula can provide an alternative method for comparing the hydraulic performances of the three channel sections. JONAMP Vol. 11 2007: pp. 587-596