Stochastic Maximum Principle for Square-Integrable Optimal Control of Linear Stochastic Systems

Citation:

Shanjian TANG,Xueqi WANG.Stochastic Maximum Principle for Square-Integrable Optimal Control of Linear Stochastic Systems[J].Chinese Annals of Mathematics B,2024,45(5):661~676
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Authors:

Shanjian TANG; Xueqi WANG

Foundation:

the National Natural Science Foundation of China (No. 12031009).
Abstract: The authors give a stochastic maximum principle for square-integrable optimal control of linear stochastic systems. The control domain is not necessarily convex and the cost functional can have a quadratic growth. In particular, they give a stochastic maximum principle for the linear quadratic optimal control problem.

Keywords:

Stochastic maximum principle, Optimal control, Linear stochastic system, Square integrability

Classification:

60H10, 93E20
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