数学年刊B辑(英文版)2024,Vol.45Issue(5) :661-676.DOI:10.1007/s11401-024-0032-6

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

Shanjian TANG Xueqi WANG
数学年刊B辑(英文版)2024,Vol.45Issue(5) :661-676.DOI:10.1007/s11401-024-0032-6

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

Shanjian TANG 1Xueqi WANG2
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作者信息

  • 1. Department of Finance and Control Sciences,School of Mathematical Sciences,Fudan University,Shanghai 200433,China
  • 2. School of Mathematical Sciences,Fudan University,Shanghai 200433,China
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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.

Key words

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

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基金项目

National Natural Science Foundation of China(12031009)

出版年

2024
数学年刊B辑(英文版)
国家教育部委托复旦大学主办

数学年刊B辑(英文版)

CSTPCD
影响因子:0.129
ISSN:0252-9599
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