A new approach for the determination of the global minimum time for the brachistochrone with preselected interval for the normal reaction force value

• Published in: International journal of non-linear mechanics Vol. 101; pp. 26 - 35
• Main Authors: Radulović, Radoslav, Jeremić, Bojan, Šalinić, Slaviša, Obradović, Aleksandar, Dražić, Milan
• Format: Journal Article
• Language: English
• Published: New York Elsevier Ltd 01.05.2018; Elsevier BV
• Subjects: Brachistochrone; Control theory; Global minimum time; Mathematics; Optimal control; Optimization; Singular control; Symmetry; Singular control; Brachistochrone; Optimal control; Global minimum time

We consider the brachistochrone problem of the particle with a preselected interval for the normal reaction force value as well as the terminal position of the particle lying on an arbitrary planar curve. We use optimal control theory to solve the formulated brachistochrone problem. Here we treat th...