Finite-time Nonzero-sum Games for Stochastic Singular Systems

Zhou Hai-ying; Zhang Cheng-ke; Zhu Huai-nian

doi:10.3969/j.issn.1007-7162.2014.02.006

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Finite-time Nonzero-sum Games for Stochastic Singular Systems

更新时间：2026-05-27

- Finite-time Nonzero-sum Games for Stochastic Singular Systems
- Vol. 31, Issue 2, Pages: 32-35(2014)
- 作者机构：
- 作者简介：
- 基金信息：
- DOI：10.3969/j.issn.1007-7162.2014.02.006
  CLC： F224.32
- Online First：06 June 2014，
  
  Published：2014
- 稿件说明：
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周海英, 张成科, 朱怀念. 有限时间随机奇异系统的非零和博弈[J]. 广东工业大学学报, 2014, 31(2): 32-35.

Zhou Hai-ying, Zhang Cheng-ke, Zhu Huai-nian. Finite-time Nonzero-sum Games for Stochastic Singular Systems[J]. 2014, 31(2): 32-35.
周海英, 张成科, 朱怀念. 有限时间随机奇异系统的非零和博弈[J]. 广东工业大学学报, 2014, 31(2): 32-35. DOI： 10.3969/j.issn.1007-7162.2014.02.006.

Zhou Hai-ying, Zhang Cheng-ke, Zhu Huai-nian. Finite-time Nonzero-sum Games for Stochastic Singular Systems[J]. 2014, 31(2): 32-35. DOI： 10.3969/j.issn.1007-7162.2014.02.006.

摘要

讨论了噪声依赖于状态和控制的It型随机奇异系统的有限时间非零和博弈问题.在两人博弈的特殊情形-单人博弈，即随机奇异系统最优控制的基础上，把单人博弈的相关结果推广到两人非零和博弈，得到了有限时间随机奇异系统非零和博弈问题均衡解存在的充分条件等价于其相应耦合Riccati微分方程存在解.

Abstract

It discusses the problem of linear quadratic nonzero-sum games for stochastic singular systems with state and control-dependent noise in finite-time horizon. Based on the result of the optimal control problem for stochastic singular systems

the existence of the nonzero-sum strategy is presented by means of a set of cross-coupled Riccati differential equations.

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