Fabian Danecker
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View article: Newton’s Method for Global Free Flight Trajectory Optimization
Newton’s Method for Global Free Flight Trajectory Optimization Open
Globally optimal free flight trajectory optimization can be achieved with a combination of discrete and continuous optimization. A key requirement is that Newton’s method for continuous optimization converges in a sufficiently large neighb…
View article: Error Bounds for Discrete-Continuous Free Flight Trajectory Optimization
Error Bounds for Discrete-Continuous Free Flight Trajectory Optimization Open
Two-stage methods addressing continuous shortest path problems start local minimization from discrete shortest paths in a spatial graph. The convergence of such hybrid methods to global minimizers hinges on the discretization error induced…
View article: Convergence Properties of Newton's Method for Globally Optimal Free Flight Trajectory Optimization
Convergence Properties of Newton's Method for Globally Optimal Free Flight Trajectory Optimization Open
The algorithmic efficiency of Newton-based methods for Free Flight Trajectory Optimization is heavily influenced by the size of the domain of convergence. We provide numerical evidence that the convergence radius is much larger in practice…
View article: Newton's Method for Global Free Flight Trajectory Optimization
Newton's Method for Global Free Flight Trajectory Optimization Open
Globally optimal free flight trajectory optimization can be achieved with a combination of discrete and continuous optimization. A key requirement is that Newton's method for continuous optimization converges in a sufficiently large neighb…
View article: Error Bounds for Discrete-Continuous Shortest Path Problems with Application to Free Flight Trajectory Optimization
Error Bounds for Discrete-Continuous Shortest Path Problems with Application to Free Flight Trajectory Optimization Open
Two-stage methods addressing continuous shortest path problems start local minimization from discrete shortest paths in a spatial graph. The convergence of such hybrid methods to global minimizers hinges on the discretization error induced…
View article: A Discrete-Continuous Algorithm for Free Flight Planning
A Discrete-Continuous Algorithm for Free Flight Planning Open
We propose a hybrid discrete-continuous algorithm for flight planning in free flight airspaces. In a first step, our discrete-continuous optimization for enhanced resolution (DisCOptER) method computes a globally optimal approximate flight…