Abstract: A method for determining the accuracy with which a vehicle can drive along a prescribed intended trajectory is disclosed. The physical state of the vehicle is represented by a state tensor, the uncertainty of which is known at an initial point in time in the form of a covariance tensor. A continued temporal development of the state tensor is modeled through the application of a first operator, which represents the dynamic behavior of the vehicle, to a combination of the state tensor and the prescribed intended trajectory, and through the subsequent application of a second operator, which represents external perturbations. Through a covariance propagation with the first and second operators, a continued temporal development of the covariance tensor is determined. A future accuracy with which the prescribed intended trajectory can be driven along is determined from the continued temporal development.

Abstract: The present disclosure relates to a computer-implemented method for calculating a trajectory of a mobile platform. The method calculates an exact or approximate solution of an optimization problem, which minimizes the travel time from a predetermined starting state to a predetermined end state, wherein the jerk of the mobile platform is restricted in absolute value to a maximum jerk and wherein the acceleration of the mobile platform is restricted, wherein the limit of the acceleration can be dependent on the velocity of the mobile platform.

Abstract: A method for determining the accuracy with which a vehicle can drive along a prescribed intended trajectory is disclosed. The physical state of the vehicle is represented by a state tensor, the uncertainty of which is known at an initial point in time in the form of a covariance tensor. A continued temporal development of the state tensor is modeled through the application of a first operator, which represents the dynamic behavior of the vehicle, to a combination of the state tensor and the prescribed intended trajectory, and through the subsequent application of a second operator, which represents external perturbations. Through a covariance propagation with the first and second operators, a continued temporal development of the covariance tensor is determined. A future accuracy with which the prescribed intended trajectory can be driven along is determined from the continued temporal development.