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Then, a finite-element approach transcribes the formulated trajectory optimization problem into a nonlinear programming (NLP) problem solved by a highly efficient NLP solver.
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A homotopy-based backtracking strategy is applied to enhance the convergence in solving the formulated VTVL trajectory optimization problem.
For the Earth Moon transfer trajectory, analytical and numerical methods are combined to formulate the trajectory optimization problem.
The sliding mode controller design problem is formulated as a trajectory tracking problem, where, the reference trajectory to be tracked is defined by spin simulation.
The control problem is formulated as a trajectory optimization problem to search for a feasible path from the expected initial condition to the desired target.
To formulate smooth trajectories, the 3D motion of the bottom center position of the crawler (P_b) is considered.
They progressed on to formulate hypothetical trajectories and predictions about future outcomes for the patient.
Furthermore, the recursive equations describing the propagation trajectory are formulated and the analytical result of the propagation trajectory is in good agreement with the numerical one.
The augmented system considering the tracking error and the reference trajectory is formulated and then addressed under adaptive critic optimal control formulation, where the initial stabilizing controller is not needed.
The optimality of the behaviour is formulated as a reference trajectory tracking problem.
A major drawback of the GP approach to STEAM is that it is formulated as a batch trajectory estimation problem.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com