Presentation Name: Controllability Gramian and Kalman Rank Condition for Mean-Field Control Systems
Presenter🌍: 于志勇 教授
Date🛏: 2020-12-28
Location👨🏽‍🦰🕟: 腾讯会议ID:592 163 388
Abstract👷🏻:

This talk is concerned with the exact controllability of linear mean-field stochastic systems with deterministic coefficients. With the help of the theory of mean-field backward stochastic differential equations (MF-BSDEs, for short) and some delicate analysis, we obtain a mean-field version of the Gramian matrix criterion for the general time-variant case, and a mean-field version of the Kalman rank condition for the special time-invariant case.

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