We consider a controlled linear stochastic infinite-dimensional differential equation with an additive fractional Brownian motion as noise input. An optimal closed-loop control is determined in the case of complete state information and a quadratic goal functional.
机构:
Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom
Wuhan Inst. of Phys. and Mathematics, Chinese Academy of Sciences, P.O. Box 71010, Wuhan 430071, ChinaMathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom
Fu, X.-C.
Duan, J.
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Department of Mathematical Sciences, Clemson University, Clemson, SC 29634, United StatesMathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom