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文章基本信息

  • 标题:Stochastic optimal control to a nonlinear differential game
  • 本地全文:下载
  • 作者:Othusitse Basimanebotlhe ; Xiaoping Xue
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2014
  • 卷号:2014
  • 期号:1
  • 页码:266
  • DOI:10.1186/1687-1847-2014-266
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:The paper studies the optimal control of a nonlinear stochastic differential game of two persons subjected to noisy measurements. The logarithmic transformation to the value function is used in trying to find the solution of the problem. The conversion of a quasilinear partial differential equation to an ordinary linear differential equation is considered. Lastly, the iterative optimal control path estimates for the minimization maximization differential game are attained.
  • 关键词:nonlinear stochastic differential equation ; Brownian motion ; stochastic optimal control ; Ito’s lemma
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