Controllability Gramian and Kalman rank condition for mean-field control systems
2021 ◽
Vol 27
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pp. 30
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This paper 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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1996 ◽
Vol 118
(2)
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pp. 350-353
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1962 ◽
Vol 1
(1)
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pp. 63-75
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2018 ◽
Vol 93
(5)
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pp. 1053-1062
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2018 ◽
Vol 93
(4)
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pp. 953-970
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Keyword(s):
Keyword(s):
1972 ◽
pp. 545-552
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