Institute of Information Theory and Automation

CSKI seminar: Analysis of the Solution Map Governed by a Parametrized Differential Inclusion

Lecturer: Mgr. Lukáš Adam, Ph.D.
Date and time: 08.10.2013 - 14:00
Room: 474
Department: Adaptive Systems (AS)


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
182 08 Prague 8


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Institute of Information Theory and Automation