期刊文献+

关于极值点的必要条件 被引量:2

On the necessary conditions of minimal element
在线阅读 下载PDF
导出
摘要 介绍了函数极值问题、泛函极值问题和最优控制问题,给出极值点与最优控制的必要条件,阐述了最优控制问题的新进展及它们之间的联系. In this paper,discuss the problems of function minimal element,functional minimal element and problem of optimal control.Give the necessary conditions of minimal elements and optimal control.On one hand,the new progress is introduced on optimal control research,on the other hand,give the relation of minimal elements and optimal control.
作者 赵坚 高夯
出处 《东北师大学报(自然科学版)》 CAS CSCD 北大核心 2010年第4期1-5,共5页 Journal of Northeast Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10871039)
关键词 极值点 最优控制 必要条件 minimal element optimal control necessary condition
  • 相关文献

参考文献14

  • 1张恭庆,林源渠.泛函分析讲义[M].北京:北京大学出版社,1987.143.
  • 2LI X,YONG J.Optimal control theory for infinite dimensional systems[M].Boston:Birkhauser,1995:243-246.
  • 3YONG J.Pontryagin maximum principle for semilinear second order elliptic partial differential equations and variational inequalities with state constraints[J].Differential Integral Equations,1992,5:1307-1334.
  • 4LIONS J L.Some methods in the mathematical analysis of system and their control[M].Beijing:Science Press,1981:176.
  • 5BONNANS J F,CASAS E.Optimal control of semilinear multistate systems with state constraints[J].SIAM J Control Optim,1989,27(2):116-455.
  • 6CASAS E,KAVIAN O,PUEL J P.Optimal control of an ill-posed elliptic semilinear equation with an exponential non linearity[J].ESAIM:COCV,1998,3:361-380.
  • 7ABERGEL F,CASAS E.Some optimal control problems of multistate equations qppearing in fluid mechanichs[J].RAIRO Model Math Anal Numer,1993,27(2):223-247.
  • 8WANG G S.Optimal control problems governed by non-well-posed semilinear elliptic equation[J].Nonlinear Anal,2000,42(5):789-801.
  • 9WANG G S.Optimal control problems governed by non-well-posed semilinear elliptic equation[J].Nonlinear Anal,2002,49:315-333.
  • 10DENG Y B,WANG G S.Optimal control of some semilinear elliptic equations with critical exponent[J].Nonlinear Anal,1999,36:915-922.

共引文献1

同被引文献17

引证文献2

二级引证文献8

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部