A min‐max version of Dijkstra's algorithm with application to perturbed optimal control problems

In this paper the computational complexity of a newly developed min-max version of Dijkstra's algorithm for solving the shortest path problem in a directed weighted hypergraph is analyzed. Together with a set oriented discretization of the state space this algorithm provides a new numerical approach for the construction of an optimally stabilizing feedback under perturbations. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)