Analysis of the solution map governed by a parametrized differential inclusion

par Lucas Adam (Institute of Information Theory and Automation, Prague)

mercredi 2 oct. 2013, 09:00 → 10:00 Europe/Paris

XR.203 (Bâtiment XLIM)

We consider a rather general parameter-dependent system described by a differential inclusion with discontinuous right-hand side. Such an inclusion may be a result of a natural system or parametrized optimization problem or specifically bilevel program. Performing a discretization, we obtain a finite-dimensional inclusion with specific structure. As the state variable in this inclusion depend on the parameter, we analyze the so-called solution (control-to-state) map, compute its coderivative and for special cases analyze the generalized Lipschitzian properties.