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Grüne, L.; Junge, O.:
Global optimal control of perturbed systems
Journal of Optimization Theory and Applications, to appear, 2007.

We propose a new numerical method for the computation of the optimal value function of perturbed control systems and associated globally stabilizing optimal feedback controllers. The method is based on a set oriented discretization of state space in combination with a new algorithm for the computation of shortest paths in weighted directed hypergraphs. Using the concept of a multivalued game, we prove convergence of the scheme as the discretization parameter goes to zero.

pdf math.OC/0703874 Pfeil

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