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A. Böhm:
"The Viability Kernel Algorithm - Convergence and Application";
Supervisor: V.M. Veliov; E105-4, Operations Research und Kontrollsysteme, 2016; final examination: 2016-01-11.

This thesis is devoted to the problem of computing viability kernels in the context of viability theory. Furthermore, the convergence order of the viability kernel algorithm is investigated. The main focus is put on the class of differential inclusions with onesided
Lipschitz continuous right hand side. A broad analysis of the stability of the viability kernel with respect to perturbations in the constraint set is done. Several counter examples are presented where linear dependence does not hold as well as rather restrictive but suffcient conditions. Furthermore numerical results in the context of value functions of infinite horizon optimal control problems on top of various other examples are illustrated.

differential inclusions, control, viability, numerical methods