# Viability Theorem for Deterministic Mean Field Type Control Systems

@article{Averboukh2016ViabilityTF, title={Viability Theorem for Deterministic Mean Field Type Control Systems}, author={Yurii V. Averboukh}, journal={Set-Valued and Variational Analysis}, year={2016}, volume={26}, pages={993-1008} }

A mean field type control system is a dynamical system in the Wasserstein space describing an evolution of a large population of agents with mean-field interaction under a control of a unique decision maker. We develop the viability theorem for the mean field type control system. To this end we introduce a set of tangent elements to the given set of probabilities. Each tangent element is a distribution on the tangent bundle of the phase space. The viability theorem for mean field type control…

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