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 bi-level 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.

Mgr. Lukáš Adam
Dept. of Decision-Making Theory
Institute of Information Theory and Automation of the ASCR
Pod Vodárenskou věží 4
180 00 Prague 8