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math.OC2022★ 7 cited
Linear-quadratic stochastic Volterra controls II: Optimal strategies and Riccati--Volterra equations
Yushi Hamaguchi, Tianxiao Wang
In this paper, we study linear-quadratic control problems for stochastic Volterra integral equations with singular and non-convolution-type coefficients. The weighting matrices in…
math.OC2022★ 7 cited
Linear-quadratic stochastic Volterra controls I: Causal feedback strategies
Yushi Hamaguchi, Tianxiao Wang
In this paper, we formulate and investigate the notion of causal feedback strategies arising in linear-quadratic control problems for stochastic Volterra integral equations (SVIEs)…