Controllability Gramian and Kalman rank condition for mean-field control systems
نویسندگان
چکیده
This paper is concerned with the exact controllability of linear mean-field stochastic systems deterministic coefficients. With help theory backward differential equations (MF-BSDEs, for short) and some delicate analysis, we obtain a version Gramian matrix criterion general time-variant case, Kalman rank condition special time-invariant case.
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ژورنال
عنوان ژورنال: ESAIM: Control, Optimisation and Calculus of Variations
سال: 2021
ISSN: ['1262-3377', '1292-8119']
DOI: https://doi.org/10.1051/cocv/2021031