Properties of the Time-Optimal Control for Lagrangian Single-Degree-of-Freedom Systems PROJECT TITLE :Properties of the Time-Optimal Control for Lagrangian Single-Degree-of-Freedom SystemsABSTRACT:The number of switchings is a vital parameter characterizing the complexity of the bang-bang optimal control. A time-optimal control problem for Lagrangian single-degree-of-freedom (single-DOF) systems is taken into account. The system describes the dynamics of an inertial object below the action of a bounded control force and an external force given as a function of the coordinate. The terminal set consists of the zero point within the phase plane. We analyze the attainable motion time along the optimal trajectories with 2 switchings and obtain corresponding necessary optimality condition. Thus, we suggest a criterion (tool) for quick checking the absence of such trajectories in the section plane. In this case, the time-optimal feedback management has the simplest structure: the quantity of switchings is not larger than one for any initial conditions. The corresponding examples are presented. Did you like this research project? To get this research project Guidelines, Training and Code... Click Here facebook twitter google+ linkedin stumble pinterest Google versus the trolls Cognitive Resource Optimization for the Decomposed Cloud Gaming Platform